O. Parcollet CEA-Saclay FRANCE
|
|
- Prosper Barber
- 5 years ago
- Views:
Transcription
1 Cluster Dynamical Mean Field Analysis of the Mott transition O. Parcollet CEA-Saclay FRANCE Dynamical Breakup of the Fermi Surface in a doped Mott Insulator M. Civelli, M. Capone, S. S. Kancharla, O.P., G. Kotliar. cond-mat/ Cluster Dynamical Mean Field Analysis of the Mott Transition O.P., G. Biroli, and G. Kotliar, Phys. Rev. Lett. 9, 64 (4) Cluster dynamical mean-field theories: Causality and classical limit G. Biroli, O.P., and G. Kotliar, Phys. Rev. B 69, 518 (4) March Meeting 5 p.1/7
2 Mott transition Metal-Insulator transition due to interactions. Relevant for e.g. : V O 3. D organics : κ (BEDT-TTF) Cu[N (CN) ]Cl). P. Limelette et al. PRL (3) High-Tc Cuprates are doped Mott insulators. Explanation of pseudo-gap, d-sc mechanism? DMFT : a successful method for Mott transition. Basics : A. Georges, G. Kotliar, W. Krauth, M. Rozenberg Rev. Mod. Phys. (1996) V O 3 P. Limelette et al. Science 3, 89 (3) Realistic calculations (in combination with band theory) : e.g. Pu : S. Savrasov, G. Kotliar, E. Abrahams, Nature 41, 793 (1) Correlation-assisted Peierls transition in VO S. Biermann, A. Poteryaev, A. I. Lichtenstein, A. Georges, cond-mat/415 In this talk : Beyond DMFT with cluster methods March Meeting 5 p./7
3 DMFT : a self-consistent impurity problem Local Quantity Effective problem Weiss Field Ising m = S i Ising spin in field h eff m = tanh(βh eff ) h eff = Jzm DMFT Local Green function G Quantum impurity Bath G (t) G(t) T c i (t)c i () G = F [G] G A. Georges, G. Kotliar (199) H Ising J i,j S is j H Hubbard = ijσ t ijc iσ c jσ + Un i n i March Meeting 5 p.3/7
4 Why a dynamical Mean Field? DMFT : a mean field on the local Green function G(ω) DMFT describes : ρ(ω) 1 π ImG(ω),δ = Fermi liquid with low coherence scale ɛ F = ZD. (Hubbard model, DMFT,IPT,T=) U/D=1 Coherent and incoherent part Transfer of spectral weight ImG U/D= U/D=.5 from low to high ω U/D=3 U/D=4 4 4 ω /D DMFT goes beyond a low energy quasi-particle description. March Meeting 5 p.4/7
5 Mott transition in DMFT : Phase diagram Frustrated Hubbard model at half filling : δ =, paramagnet A. Georges, G. Kotliar, W. Krauth, M. Rozenberg Rev. Mod. Phys. (1996).1 Coexistence region.8 T/D.6.4 METAL CROSSOVER INSULATOR First Order transition Uc1 Uc U/D March Meeting 5 p.5/7
6 M DMFT, a starting point for some SCES? T T D organics : κ (BEDT-TTF) Cu[N (CN) ]Cl) Semiconductor P c 1 ( T ) P c ( T ) * ρ(τ) M e t m a x * I n s ( d σ/ d P) m a x.3 U=4 K 3 bar W=3543 K 6 bar W=3657 K 7 bar W=3691 K 15 bar W=3943 K 1 kbar W= 5 K 5 B a d meta l. T (K) 4 3 ott ins ul a tor ρ (Ω.cm).1 1 A.F i n s u l a t o r F ermi l iq uid P (bar) T (K) P.Limelette et al, PRL(3). March Meeting 5 p.6/7
7 Cluster DMFT (1) Missing in DMFT... Various orders : e.g. d-sc,ddw,stripes k dependence of Σ(k, ω) = Z m m. Variations of Z, m, τ(t ), T coh along the Fermi surface. Non magnetic insulators (frustrated magnets?) Non-local interactions. Short range AF correlations.... but present in cluster methods short range spatial quantum fluctuations DMFT Cluster DMFT = G G March Meeting 5 p.7/7
8 Cluster DMFT () Interpolate between DMFT and d/3d when cluster size. Finite size systems BUT : in a bath G (like Boundary Conditions ) in thermodynamic limit (phase transitions) Static (Hartree-Fock) approximation possible at longer distance. Choices : Type, shape of clusters (e.g. (linear) size L c ). Self-consistency condition : G = F [G]. How to compute lattice quantities from cluster quantities. Various cluster methods : parametrisations of Σ(k) CDMFT (G. Kotliar, S. Savrasov, G. Pálsson, G. Biroli PRL (1)) DCA (M.H. Hettler, A.N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke,H.R. Krishnamurthy PRB (1998)) Nested Cluster Schemes, PCDMFT, Fictive impurity models,... March Meeting 5 p.8/7
9 In this talk Questions : Is the DMFT picture of the Mott transition stable? (Cluster as 1/d corrections). Existence of anisotropic FL (due to interactions)? Z(k), T coh (k), (m /m band )(k) Renormalization of the Fermi Surface? Orders : AF, d-sc,...? Study CDMFT, cluster, Hubbard model on square lattice for various U, t /t, δ using QMC (Hirsch-Fye) and ED (exact diagonalization) Isotropic model : t t Anisotropic model: t t 1 t 1 t March Meeting 5 p.9/7
10 CDMFT H = R m µr n ν ˆt µν (R m R n )c + R m µ c R n ν+ R 1 µr ν R 3 ρr 4 ς U µνρς ({R i })c + R 1 µ c+ R ν c R 4 ςc R3 β β S eff = dτdτ c µ(τ)g 1,µν (τ, τ )c ν (τ ) + dτu αβγδ ()(c αc β c γc δ )(τ) G cµν (τ) = T c µ (τ)c ν() G 1 (iω n) = [ K R.B.Z. S eff Σ c = G 1 G 1 c ( ] 1 1 iω n + µ ˆt(K) Σ c (iω n )) + Σ c (iω n ) March Meeting 5 p.1/7
11 CDMFT () Γ µνρς ^t(k) Lattice quantities cluster quantities Lattice self energy is computed at the end Impurity Solver G^ G^ c Σ^ c Self Consistency Cluster to Lattice Conversion Restore translation invariance on lattice ( clusters ): Σ ^ lat 3 4 Σ lattice (k) = Σ ii + [ 1 (Σ1 ) + Σ 34 cos(kx )+ i=1 1 ] ( ) Σ4 + Σ 13 cos(ky ) + Σ 14 cos(k x + k y ) + Σ 3 cos(k x k y ) Cluster self-energies parameterize the k dependence. Prescription not unique : cumulants (T. Stanescu et al. To appear), periodize the Green function (B. Kyung et al. condmat/5565, S1-7). March Meeting 5 p.11/7
12 Mott transition in DMFT : Phase diagram Frustrated Hubbard model at half filling : δ =, paramagnet A. Georges, G. Kotliar, W. Krauth, M. Rozenberg Rev. Mod. Phys. (1996).1 Coexistence region.8 T/D.6.4 METAL CROSSOVER INSULATOR First Order transition Uc1 Uc U/D Without frustration, Néel temperature T N is large. Frustration is essential to see this Mott transition March Meeting 5 p.1/7
13 Paramagnetic solutions of CDMFT In DMFT : Paramagnetic sol. for t = Paramagnetic solution for t /t 1 In Cluster DMFT : different type of paramagnets Paramagnet for t = Strong AF fluctuations inside the cluster. Paramagnet with short range AF fluctuations at low resolution? Paramagnet for t /t 1 Similar to DMFT solution Can only be reached by solving a frustrated model. QMC solution, but sign problem at low temperature. Anisotropic model, t /t =.9 March Meeting 5 p.13/7
14 A DMFT-like Mott transition... Double occupation d occ = i n i n i. No AF order DMFT CDMFT double occupation [T Tc] QMC [T Tc] IPT d occ T d occ U U U G. Kotliar, E. Lange, M. J. Rozenberg et al. PRL () T/D = 1/, 1/3, 1/4, 1/44 Application : Interactions-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices F. Werner, OP, A. Georges, S. Hassan, to appear March Meeting 5 p.14/7
15 ... with k-dependent self-energy Fixed T/D = 45 > T c, various U : 3 regions in U..1.8 T/D METAL CROSSOVER U/D? INSULATOR Uc1 Uc DMFT metal Metal. Hot-Cold spots Finite T insulator U/D..5 U/D.3.35 U/D ) iωn Σ 11 c + ( 1 1 ) Z iωn Σ 11 c 3 Σ 11 c 1 + ( 1 1 Z Σ 1, Σ 14 Σ 14 k Σ lattice Modulation of the finite T lifetime March Meeting 5 p.15/7
16 Self-energies in imaginary time Im Σ Im Σ ω ω U =,.1,.,.5,.9,.31,.34,.43,.5 T/D = 1/44. March Meeting 5 p.16/7
17 Hot and Cold regions A(k, ω = ) in the metallic region : U/D =.,.5 March Meeting 5 p.17/7
18 Quasi-particle residue and effective mass Close to the Mott transition, Z m m 1 Hot Cold.95 (m * /m)z.9.85 T/D = 1/ U March Meeting 5 p.18/7
19 Fermi liquid at T =? Conjecture : for T, ImΣ 14 Z (π,π) Z (,π) k-dependence in Z due to the proximity of the Mott insulator. QMC inefficient for low T and high U. = Exact Diagonalization method. March Meeting 5 p.19/7
20 Exact diagonalization Hamiltonian representation of the bath G with free electrons. Hoppings and energies of the Bath determined self-consistently. For clusters : 8 sites in the bath 3 t 1 t t 4 Not limited by frustration or large U. T = calculation but at finite EFFECTIVE temperature T eff. Size of the bath is small. March Meeting 5 p./7
21 Exact diagonalization : Comparison with QMC t =, δ =.1,U = 8t, βd = 5, D = 4t = 1, paramagnet ImΣ 11 QMC ImΣ 1 QMC ImΣ 14 QMC ImΣ 11 ED ImΣ 1 ED ImΣ 14 ED ω n March Meeting 5 p.1/7
22 Hot and cold regions A(k, ω = + ). T eff = D/18, U = 16t, isotropic model. Condmat/ t =.3t n =.73,.89,.96 t = +.3t n =.7,.9,.95 t = +.9t n =.69,.9,.96. x March Meeting 5 p./7
23 Renormalization of the Fermi Surface t eff (k) = t(k) ReΣ lattice (k, ) Fermi Surface is renormalized by interactions close to the Mott transition. Details are model dependent. 4.5 t eff /t t eff /t (t eff /t eff )/(t /t) t /t= -.3 t eff /t t eff /t (t eff /t eff )/(t /t) t /t= n Bare t, t can not be extracted simply from ARPES data March Meeting 5 p.3/7
24 Fermi liquid or Non Fermi Liquid at T =? Pseudo-gap at T =? B. Kyung et al., condmat/5565, S1-7 ω-resolution problem in ED : ω.1t = T eff D/4 T Mott! ImΣ 11 QMC ImΣ 1 QMC ImΣ 14 QMC ImΣ 11 ED ImΣ 1 ED ImΣ 14 ED ω n Solution at T = is still an open question March Meeting 5 p.4/7
25 d-sc in CDMFT d-sc order present at T = (M. Capone and S. S. Kancharla, private communication).4.3 U = 4t U = 8t U = 1t U = 16t δ March Meeting 5 p.5/7
26 Conclusion Cluster methods add k resolution to DMFT. Mott transition in frustrated systems in CDMFT : DMFT-like Mott transition with Hot-Cold regions due to the proximity of Mott transition. Renormalization of the Fermi surface. d-sc phase at T =. Open questions Complete solution of clusters (T = )? Fermi liquid or Non Fermi liquid? Nature of the Mott insulator? March Meeting 5 p.6/7
Mott transition : beyond Dynamical Mean Field Theory
Mott transition : beyond Dynamical Mean Field Theory O. Parcollet 1. Cluster methods. 2. CDMFT 3. Mott transition in frustrated systems : hot-cold spots. Coll: G. Biroli (SPhT), G. Kotliar (Rutgers) Ref:
More informationIntroduction to DMFT
Introduction to DMFT Lecture 2 : DMFT formalism 1 Toulouse, May 25th 2007 O. Parcollet 1. Derivation of the DMFT equations 2. Impurity solvers. 1 Derivation of DMFT equations 2 Cavity method. Large dimension
More informationIntroduction to DMFT
Introduction to DMFT Lecture 3 : Introduction to cluster methods 1 Toulouse, June 13th 27 O. Parcollet SPhT, CEA-Saclay 1. Cluster DMFT methods. 2. Application to high-tc superconductors. General references
More informationDMFT and beyond : IPAM, Los Angeles, Jan. 26th 2009 O. Parcollet Institut de Physique Théorique CEA-Saclay, France
DMFT and beyond : From quantum impurities to high temperature superconductors 1 IPAM, Los Angeles, Jan. 26th 29 O. Parcollet Institut de Physique Théorique CEA-Saclay, France Coll : M. Ferrero (IPhT),
More informationCluster Extensions to the Dynamical Mean-Field Theory
Thomas Pruschke Institut für Theoretische Physik Universität Göttingen Cluster Extensions to the Dynamical Mean-Field Theory 1. Why cluster methods? Thomas Pruschke Institut für Theoretische Physik Universität
More informationDe l atome au. supraconducteur à haute température critique. O. Parcollet Institut de Physique Théorique CEA-Saclay, France
De l atome au 1 supraconducteur à haute température critique O. Parcollet Institut de Physique Théorique CEA-Saclay, France Quantum liquids Quantum many-body systems, fermions (or bosons), with interactions,
More informationAn efficient impurity-solver for the dynamical mean field theory algorithm
Papers in Physics, vol. 9, art. 95 (217) www.papersinphysics.org Received: 31 March 217, Accepted: 6 June 217 Edited by: D. Domínguez Reviewed by: A. Feiguin, Northeastern University, Boston, United States.
More informationElectronic correlations in models and materials. Jan Kuneš
Electronic correlations in models and materials Jan Kuneš Outline Dynamical-mean field theory Implementation (impurity problem) Single-band Hubbard model MnO under pressure moment collapse metal-insulator
More informationDiagrammatic Monte Carlo methods for Fermions
Diagrammatic Monte Carlo methods for Fermions Philipp Werner Department of Physics, Columbia University PRL 97, 7645 (26) PRB 74, 15517 (26) PRB 75, 8518 (27) PRB 76, 235123 (27) PRL 99, 12645 (27) PRL
More informationSuperconductivity, antiferromagnetism and Mott critical point in the BEDT family
Superconductivity, antiferromagnetism and Mott critical point in the BEDT family A.-M. Tremblay P. Sémon, G. Sordi, K. Haule, B. Kyung, D. Sénéchal ISCOM 2013, 14 19 July 2013 Half-filled band: Not always
More informationDual fermion approach to unconventional superconductivity and spin/charge density wave
June 24, 2014 (ISSP workshop) Dual fermion approach to unconventional superconductivity and spin/charge density wave Junya Otsuki (Tohoku U, Sendai) in collaboration with H. Hafermann (CEA Gif-sur-Yvette,
More informationQuantum Cluster Methods (CPT/CDMFT)
Quantum Cluster Methods (CPT/CDMFT) David Sénéchal Département de physique Université de Sherbrooke Sherbrooke (Québec) Canada Autumn School on Correlated Electrons Forschungszentrum Jülich, Sept. 24,
More informationIntroduction to SDFunctional and C-DMFT
Introduction to SDFunctional and C-DMFT A. Lichtenstein University of Hamburg In collaborations with: M. Katsnelson, V. Savkin, L. Chioncel, L. Pourovskii (Nijmegen) A. Poteryaev, S. Biermann, M. Rozenberg,
More informationRole of Hund Coupling in Two-Orbital Systems
Role of Hund Coupling in Two-Orbital Systems Gun Sang Jeon Ewha Womans University 2013-08-30 NCTS Workshop on Quantum Condensation (QC13) collaboration with A. J. Kim, M.Y. Choi (SNU) Mott-Hubbard Transition
More informationSpin and orbital freezing in unconventional superconductors
Spin and orbital freezing in unconventional superconductors Philipp Werner University of Fribourg Kyoto, November 2017 Spin and orbital freezing in unconventional superconductors In collaboration with:
More informationFrom Gutzwiller Wave Functions to Dynamical Mean-Field Theory
From utzwiller Wave Functions to Dynamical Mean-Field Theory Dieter Vollhardt Autumn School on Correlated Electrons DMFT at 25: Infinite Dimensions Forschungszentrum Jülich, September 15, 2014 Supported
More informationOrganic Conductors and Superconductors: signatures of electronic correlations Martin Dressel 1. Physikalisches Institut der Universität Stuttgart
Organic Conductors and Superconductors: signatures of electronic correlations Martin Dressel 1. Physikalisches Institut der Universität Stuttgart Outline 1. Organic Conductors basics and development 2.
More informationOptical conductivity and kinetic energy of the superconducting state: A cluster dynamical mean field study
January 27 EPL, 77 (27) 277 doi: 1.129/295-575/77/277 www.epljournal.org Optical conductivity and kinetic energy of the superconducting state: A cluster dynamical mean field study K. Haule and G. Kotliar
More informationComputational strongly correlated materials R. Torsten Clay Physics & Astronomy
Computational strongly correlated materials R. Torsten Clay Physics & Astronomy Current/recent students Saurabh Dayal (current PhD student) Wasanthi De Silva (new grad student 212) Jeong-Pil Song (finished
More informationMagnetic Moment Collapse drives Mott transition in MnO
Magnetic Moment Collapse drives Mott transition in MnO J. Kuneš Institute of Physics, Uni. Augsburg in collaboration with: V. I. Anisimov, A. V. Lukoyanov, W. E. Pickett, R. T. Scalettar, D. Vollhardt,
More informationarxiv:cond-mat/ v1 [cond-mat.str-el] 4 Jul 2000
EPJ manuscript No. (will be inserted by the editor) arxiv:cond-mat/742v1 [cond-mat.str-el] 4 Jul 2 Phase diagram of the three-dimensional Hubbard model at half filling R. Staudt 1, M. Dzierzawa 1, and
More informationDynamical mean field approach to correlated lattice systems in and out of equilibrium
Dynamical mean field approach to correlated lattice systems in and out of equilibrium Philipp Werner University of Fribourg, Switzerland Kyoto, December 2013 Overview Dynamical mean field approximation
More informationNumerical Methods in Quantum Many-body Theory. Gun Sang Jeon Pyeong-chang Summer Institute 2014
Numerical Methods in Quantum Many-body Theory Gun Sang Jeon 2014-08-25 Pyeong-chang Summer Institute 2014 Contents Introduction to Computational Physics Monte Carlo Methods: Basics and Applications Numerical
More informationFirst-order Mott transition at zero temperature in two dimensions: Variational plaquette study
January 2009 EPL, 85 (2009) 17002 doi: 10.1209/0295-5075/85/17002 www.epljournal.org First-order Mott transition at zero temperature in two dimensions: ariational plaquette study M. Balzer 1, B. Kyung
More informationDiagrammatic Monte Carlo simulation of quantum impurity models
Diagrammatic Monte Carlo simulation of quantum impurity models Philipp Werner ETH Zurich IPAM, UCLA, Jan. 2009 Outline Continuous-time auxiliary field method (CT-AUX) Weak coupling expansion and auxiliary
More informationQuantum Monte Carlo study of strongly correlated electrons: Cellular dynamical mean-field theory
Quantum Monte Carlo study of strongly correlated electrons: Cellular dynamical mean-field theory B. Kyung, 1 G. Kotliar, 2 and A.-M. S. Tremblay 1 1 Département de physique and Regroupement québécois sur
More informationFerromagnetism and Metal-Insulator Transition in Hubbard Model with Alloy Disorder
Ferromagnetism and Metal-Insulator Transition in Hubbard Model with Alloy Disorder Krzysztof Byczuk Institute of Physics, Augsburg University Institute of Theoretical Physics, Warsaw University October
More informationLocal moment approach to the multi - orbital single impurity Anderson and Hubbard models
Local moment approach to the multi - orbital single impurity Anderson and Hubbard models Anna Kauch Institute of Theoretical Physics Warsaw University PIPT/Les Houches Summer School on Quantum Magnetism
More informationMean field theories of quantum spin glasses
Mean field theories of quantum spin glasses Antoine Georges Olivier Parcollet Nick Read Subir Sachdev Jinwu Ye Talk online: Sachdev Classical Sherrington-Kirkpatrick model H = JS S i j ij i j J ij : a
More informationMott physics: from basic concepts to iron superconductors
Mott physics: from basic concepts to iron superconductors E. Bascones Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC) Outline Mott physics: Basic concepts (single orbital & half filling) - Mott
More informationMultisite versus multiorbital Coulomb correlations studied within finite-temperature exact diagonalization dynamical mean-field theory
PHYSICAL REVIEW B 78, 165123 28 Multisite versus multiorbital Coulomb correlations studied within finite-temperature exact diagonalization dynamical mean-field theory A. Liebsch, 1 H. Ishida, 2 and J.
More informationComputational Approaches to Quantum Critical Phenomena ( ) ISSP. Fermion Simulations. July 31, Univ. Tokyo M. Imada.
Computational Approaches to Quantum Critical Phenomena (2006.7.17-8.11) ISSP Fermion Simulations July 31, 2006 ISSP, Kashiwa Univ. Tokyo M. Imada collaboration T. Kashima, Y. Noda, H. Morita, T. Mizusaki,
More informationFROM NODAL LIQUID TO NODAL INSULATOR
FROM NODAL LIQUID TO NODAL INSULATOR Collaborators: Urs Ledermann and Maurice Rice John Hopkinson (Toronto) GORDON, 2004, Oxford Doped Mott insulator? Mott physics: U Antiferro fluctuations: J SC fluctuations
More informationA DCA Study of the High Energy Kink Structure in the Hubbard Model Spectra
A DCA Study of the High Energy Kink Structure in the Hubbard Model Spectra M. Jarrell, A. Macridin, Th. Maier, D.J. Scalapino Thanks to T. Devereaux, A. Lanzara, W. Meevasana, B. Moritz, G. A. Sawatzky,
More informationSpectral Density Functional Theory
Spectral Density Functional Theory Sergej Savrasov Financial support NSF US DOE LANL Collaborators and Content Constructing New Functionals to Access Energetics and Spectra of Correlated Solids Phonons
More informationPhotoemission Studies of Strongly Correlated Systems
Photoemission Studies of Strongly Correlated Systems Peter D. Johnson Physics Dept., Brookhaven National Laboratory JLab March 2005 MgB2 High T c Superconductor - Phase Diagram Fermi Liquid:-Excitations
More informationMott metal-insulator transition on compressible lattices
Mott metal-insulator transition on compressible lattices Markus Garst Universität zu Köln T p in collaboration with : Mario Zacharias (Köln) Lorenz Bartosch (Frankfurt) T c Mott insulator p c T metal pressure
More informationarxiv:cond-mat/ v1 [cond-mat.str-el] 21 Mar 2006
Non-Fermi-liquid phases in the two-band Hubbard model: Finite-temperature exact diagonalization study of Hund s rule coupling A. Liebsch and T. A. Costi Institut für Festkörperforschung, Forschungszentrum
More informationw2dynamics : operation and applications
w2dynamics : operation and applications Giorgio Sangiovanni ERC Kick-off Meeting, 2.9.2013 Hackers Nico Parragh (Uni Wü) Markus Wallerberger (TU) Patrik Gunacker (TU) Andreas Hausoel (Uni Wü) A solver
More informationMetal - Insulator transitions: overview, classification, descriptions
Metal - Insulator transitions: overview, classification, descriptions Krzysztof Byczuk Institute of Physics, Augsburg University http://www.physik.uni-augsburg.de/theo3/kbyczuk/index.html January 19th,
More informationThe Hubbard model out of equilibrium - Insights from DMFT -
The Hubbard model out of equilibrium - Insights from DMFT - t U Philipp Werner University of Fribourg, Switzerland KITP, October 212 The Hubbard model out of equilibrium - Insights from DMFT - In collaboration
More informationPHYSICAL REVIEW B 80,
PHYSICAL REVIEW B 8, 6526 29 Finite-temperature exact diagonalization cluster dynamical mean-field study of the two-dimensional Hubbard model: Pseudogap, non-fermi-liquid behavior, and particle-hole asymmetry
More informationSupraconductivité à haute température dans les cuprates et les organiques: Où en est-on?
Supraconductivité à haute température dans les cuprates et les organiques: Où en est-on? André-Marie Tremblay Collège de France, 9, 16, 23 et 30 mars 2015 17h00 à 18h30 Two pillars of Condensed Matter
More informationDynamical Mean Field Theory and Numerical Renormalization Group at Finite Temperature: Prospects and Challenges
Dynamical Mean Field Theory and Numerical Renormalization Group at Finite Temperature: Prospects and Challenges Frithjof B. Anders Institut für Theoretische Physik Universität Bremen Göttingen, December
More informationTunable frustration as a discriminator of antiferromagnetic signatures in cold atoms
Tunable frustration as a discriminator of antiferromagnetic signatures in cold atoms Nils Bl umer and Elena Gorelik Institut f ur Physik, Johannes Gutenberg-Universit at Mainz TR 49: Condensed matter systems
More information1 G. Kotliar: Lecture 2
1 G. Kotliar: Lecture 2 In the previous lecture, following some motivation to study strongly correlated electron systems, we introduced a general methodology for constructing mean field theories. To apply
More informationRecent advances on Hubbard models using quantum cluster methods
Recent advances on Hubbard models using quantum cluster methods David Sénéchal Département de physique Faculté des sciences Université de Sherbrooke 213 CAP Congress, Université de Montréal May 27, 213
More informationAn introduction to Dynamical Mean Field Theory (DMFT) and DFT+DMFT
An introduction to Dynamical Mean Field Theory (DMFT) and DFT+DMFT B. Amadon CEA, DAM, DIF, F-9297 Arpajon, France International summer School in electronic structure Theory: electron correlation in Physics
More informationRealistic many-body calculations with spatial correlations and for systems with molecular orbitals
Realistic many-body calculations with spatial correlations and for systems with molecular orbitals Harald O. Jeschke Johannes Ferber, Hunpyo Lee, Kateryna Foyevtsova, Roser Valentí Institut für Theoretische
More informationHeavy Fermion systems
Heavy Fermion systems Satellite structures in core-level and valence-band spectra Kondo peak Kondo insulator Band structure and Fermi surface d-electron heavy Fermion and Kondo insulators Heavy Fermion
More informationNew perspectives in superconductors. E. Bascones Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC)
New perspectives in superconductors E. Bascones Instituto de Ciencia de Materiales de Madrid (ICMM-CSIC) E. Bascones leni@icmm.csic.es Outline Talk I: Correlations in iron superconductors Introduction
More informationHole dynamics in frustrated antiferromagnets: Coexistence of many-body and free-like excitations
Hole dynamics in frustrated antiferromagnets: Coexistence of many-body and free-like excitations Collaborators: Luis O. Manuel Instituto de Física Rosario Rosario, Argentina Adolfo E. Trumper (Rosario)
More informationFluctuating exchange theory of dynamical electron correlations and magnetism
Fluctuating exchange theory of dynamical electron correlations and magnetism Václav Drchal Institute of Physics ASCR, Praha, Czech Republic Grant Agency of ASCR: project IAA11616 Workshop Frontiers in
More informationOne-dimensional systems. Spin-charge separation in insulators Tomonaga-Luttinger liquid behavior Stripes: one-dimensional metal?
One-dimensional systems Spin-charge separation in insulators Tomonaga-Luttinger liquid behavior Stripes: one-dimensional metal? One-dimensional systems Spin-charge separation in insulators Spin-charge
More informationMetal-insulator transitions
Metal-insulator transitions Bandwidth control versus fillig control Strongly correlated Fermi liquids Spectral weight transfer and mass renormalization Bandwidth control Filling control Chemical potential
More informationarxiv: v1 [cond-mat.str-el] 18 May 2010
Strength of Correlations in electron and hole doped cuprates Cédric Weber, 1 Kristjan Haule, 1 and Gabriel Kotliar 1 1 Department of Physics, Rutgers University, Piscataway, NJ 08854, USA arxiv:1005.3095v1
More informationThe Hubbard model in cold atoms and in the high-tc cuprates
The Hubbard model in cold atoms and in the high-tc cuprates Daniel E. Sheehy Aspen, June 2009 Sheehy@LSU.EDU What are the key outstanding problems from condensed matter physics which ultracold atoms and
More informationAn introduction to the dynamical mean-field theory. L. V. Pourovskii
An introduction to the dynamical mean-field theory L. V. Pourovskii Nordita school on Photon-Matter interaction, Stockholm, 06.10.2016 OUTLINE The standard density-functional-theory (DFT) framework An
More informationarxiv:cond-mat/ v2 [cond-mat.supr-con] 1 Dec 2005
Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model arxiv:cond-mat/0504529v2 [cond-mat.supr-con] 1 Dec 2005 T.A. Maier, 1 M. Jarrell, 2 T.C. Schulthess, 1 P. R. C. Kent, 3 and
More informationWhen Landau and Lifshitz meet
Yukawa International Seminar 2007 "Interaction and Nanostructural Effects in Low-Dimensional Systems" November 5-30, 2007, Kyoto When Landau and Lifshitz meet Unconventional Quantum Criticalities November
More informationPhase diagram of the cuprates: Where is the mystery? A.-M. Tremblay
Phase diagram of the cuprates: Where is the mystery? A.-M. Tremblay I- Similarities between phase diagram and quantum critical points Quantum Criticality in 3 Families of Superconductors L. Taillefer,
More informationarxiv: v2 [cond-mat.dis-nn] 26 Sep 2011
Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation arxiv:06.4028v2 [cond-mat.dis-nn] 26 Sep 20 D. Semmler, K. Byczuk, 2 and W. Hofstetter Institut für Theoretische
More informationDynamical mean field approach in interacting electron-electron and electron phonon systems: an introduction with some selected applications (II)
Dynamical mean field approach in interacting electron-electron and electron phonon systems: an introduction with some selected applications (II) S. Ciuchi Uni/INFM Aquila Collaborations M. Capone - ISC
More informationSurprises in correlated electron physics
Surprises in correlated electron physics K. Byczuk 1,, W. Hofstetter 3, M. Kollar 1, and D. Vollhardt 1 (1) Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute for Physics,
More informationGabriel KOTLIAR. Physics Department and Center for Materials Theory, Rutgers University, Camden, NJ 08102, U.S.A. (Received September 2, 2004)
Journal of the Physical Society of Japan Vol. 74, No. 1, January, 2005, pp. 147 154 #2005 The Physical Society of Japan SPECIAL TOPICS Kondo Effect 40 Years after the Discovery Quantum Impurity Models
More informationThanks to: NSF, EFRC (DOE)
Mottness and Holography: A Discrete Marriage Thanks to: NSF, EFRC (DOE) Seungmin Hong M. Edalati R. G. Leigh emergent gravity spectral weight transfer 2-particle probe spectral weight transfer spectral
More informationQuantum Cluster Methods: An introduction
Quantum Cluster Methods: An introduction David Sénéchal Département de physique, Université de Sherbrooke International summer school on New trends in computational approaches for many-body systems May
More informationɛ(k) = h2 k 2 2m, k F = (3π 2 n) 1/3
4D-XY Quantum Criticality in Underdoped High-T c cuprates M. Franz University of British Columbia franz@physics.ubc.ca February 22, 2005 In collaboration with: A.P. Iyengar (theory) D.P. Broun, D.A. Bonn
More informationDynamical mean-field theory
Dynamical mean-field theory Marcus Kollar Theoretical Physics III, University of Augsburg, Germany Autumn School: Hands-On DMFT DFG-Forschergruppe 1346 Forschungszentrum Jülich August 4-7, 2011 Outline
More informationarxiv: v2 [cond-mat.str-el] 17 Jan 2011
vtex Efficient treatment of two-particle vertices in dynamical mean-field theory Jan Kuneš Institute of Physics, Academy of Sciences of the Czech Republic, Cukrovarnická, 6 53 Praha 6, Czech Republic (Dated:
More informationField-Driven Quantum Systems, From Transient to Steady State
Field-Driven Quantum Systems, From Transient to Steady State Herbert F. Fotso The Ames Laboratory Collaborators: Lex Kemper Karlis Mikelsons Jim Freericks Device Miniaturization Ultracold Atoms Optical
More informationANTIFERROMAGNETIC EXCHANGE AND SPIN-FLUCTUATION PAIRING IN CUPRATES
ANTIFERROMAGNETIC EXCHANGE AND SPIN-FLUCTUATION PAIRING IN CUPRATES N.M.Plakida Joint Institute for Nuclear Research, Dubna, Russia CORPES, Dresden, 26.05.2005 Publications and collaborators: N.M. Plakida,
More informationarxiv:cond-mat/ v2 [cond-mat.str-el] 13 Dec 1999
Exhaustion Physics in the Periodic Anderson Model from Iterated Perturbation Theory arxiv:cond-mat/9905408v2 [cond-mat.str-el] 13 Dec 1999 N. S. Vidhyadhiraja 1,2,A. N. Tahvildar-Zadeh 1, M. Jarrell 2,
More informationAccessing thermodynamics from dynamical cluster-embedding approaches
PHYSICAL REVIEW B 80, 195118 2009 Accessing thermodynamics from dynamical cluster-embedding approaches Gang Li and Werner Hane Institute for Theoretical Physics and Astrophysics, University of Würzburg,
More informationTopological order in the pseudogap metal
HARVARD Topological order in the pseudogap metal High Temperature Superconductivity Unifying Themes in Diverse Materials 2018 Aspen Winter Conference Aspen Center for Physics Subir Sachdev January 16,
More informationTransport and ordering of strongly correlated electrons in kagome system at partial filling
Transport and ordering of strongly correlated electrons in kagome system at partial filling Eduard TUTIŠ Institute of Physics, Zagreb, Croatia ECRYS 2017, Cargèse in collaboration with & inspired by EXPERIMENTAL
More informationFrom Materials to Models and Back. Dieter Vollhardt
From Materials to Models and Back Dieter Vollhardt 28 th Edgar Lüscher Seminar, Klosters; February 8, 2017 From Materials to Models and Back - The Need for Models in Condensed Matter Physics - Outline:
More informationAndré-Marie Tremblay
André-Marie Tremblay CENTRE DE RECHERCHE SUR LES PROPRIÉTÉS ÉLECTRONIQUES DE MATÉRIAUX AVANCÉS Sponsors: Pairing vs antiferromagnetism in the cuprates 1. Motivation, model 2. The standard approach : -
More informationDiagrammatic extensions of (E)DMFT: Dual boson
Diagrammatic extensions of (E)DMFT: Dual boson IPhT, CEA Saclay, France ISSP, June 25, 2014 Collaborators Mikhail Katsnelson (University of Nijmegen, The Netherlands) Alexander Lichtenstein (University
More informationORBITAL SELECTIVITY AND HUND S PHYSICS IN IRON-BASED SC. Laura Fanfarillo
ORBITAL SELECTIVITY AND HUND S PHYSICS IN IRON-BASED SC Laura Fanfarillo FROM FERMI LIQUID TO NON-FERMI LIQUID Strong Correlation Bad Metal High Temperature Fermi Liquid Low Temperature Tuning parameter
More informationThe Mott Metal-Insulator Transition
Florian Gebhard The Mott Metal-Insulator Transition Models and Methods With 38 Figures Springer 1. Metal Insulator Transitions 1 1.1 Classification of Metals and Insulators 2 1.1.1 Definition of Metal
More informationUniversal dielectric breakdown and synaptic behaviour in Mott insulators
Universal dielectric breakdown and synaptic behaviour in Mott insulators Marcelo Rozenberg LPS, CNRS Université Paris-Sud, Orsay IMN (Nantes, France) L. Cario E. Janod B. Corraze P. Stoliar (Nanogune)
More information16 Dynamical Mean-Field Approximation and Cluster Methods for Correlated Electron Systems
16 Dynamical Mean-Field Approximation and Cluster Methods for Correlated Electron Systems Thomas Pruschke Institute for Theoretical Physics, University of Göttingen, 37077 Göttingen, Germany pruschke@theorie.physik.uni-goettingen.de
More informationA New look at the Pseudogap Phase in the Cuprates.
A New look at the Pseudogap Phase in the Cuprates. Patrick Lee MIT Common themes: 1. Competing order. 2. superconducting fluctuations. 3. Spin gap: RVB. What is the elephant? My answer: All of the above!
More informationIMPACT ionization and thermalization in photo-doped Mott insulators
IMPACT ionization and thermalization in photo-doped Mott insulators Philipp Werner (Fribourg) in collaboration with Martin Eckstein (Hamburg) Karsten Held (Vienna) Cargese, September 16 Motivation Photo-doping:
More informationSurprises in Correlated Electron Physics
Vol. 111 (2007) ACTA PHYSICA POLONICA A No. 4 Proceedings of the XII National School Correlated Electron Systems..., Ustroń 2006 Surprises in Correlated Electron Physics K. Byczuk a,b, W. Hofstetter c,
More informationarxiv:cond-mat/ v1 [cond-mat.str-el] 11 Aug 2003
Phase diagram of the frustrated Hubbard model R. Zitzler, N. ong, h. Pruschke, and R. Bulla Center for electronic correlations and magnetism, heoretical Physics III, Institute of Physics, University of
More informationQUANTUM CRITICAL BEHAVIOR IN KONDO SYSTEMS
International Journal of Modern Physics B, Vol. 13, No. 18 (1999) 2331 2342 c World Scientific Publishing Company QUANTUM CRITICAL BEHAVIOR IN KONDO SYSTEMS QIMIAO SI, J. LLEWEILUN SMITH and KEVIN INGERSENT
More informationDynamical Mean Field within Iterative Perturbation Theory
Vol. 111 (2007) ACTA PHYSICA POLONICA A No. 5 Proceedings of the XII National School Correlated Electron Systems..., Ustroń 2006 Dynamical Mean Field within Iterative Perturbation Theory B. Radzimirski
More informationOptical and transport properties of small polarons from Dynamical Mean-Field Theory
Optical and transport properties of small polarons from Dynamical Mean-Field Theory S. Fratini, S. Ciuchi Outline: Historical overview DMFT for Holstein polaron Optical conductivity Transport Polarons:
More informationDynamical Mean Field Theory. Quantum Cluster Methods
Dynamical Mean Field Theory and Quantum Cluster Methods David Sénéchal Département de physique & Institut Quantique Université de Sherbrooke International Summer School on Computational Quantum Materials
More informationNonequilibrium Physics of Correlated Electron Materials IV: Nonequilibrium Phase Transitions
Nonequilibrium Physics of Correlated Electron Materials IV: Nonequilibrium Phase Transitions! A. J. Millis College de France Oct 12, 2015 Two classes of nonequilibrium manybody phenomena 1. Steady state
More informationarxiv:cond-mat/ v2 [cond-mat.str-el] 19 May 2004
A brief review of recent advances on the Mott transition: unconventional transport, spectral weight transfers, and critical behaviour arxiv:cond-mat/31152v2 [cond-mat.str-el] 19 May 24 A. Georges a, S.
More informationPseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
PHYSICAL REVIEW B 8, 645 9 Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space Michel Ferrero,, Pablo S. Cornaglia,,3 Lorenzo De Leo, Olivier Parcollet,
More informationTransfer of spectral weight in spectroscopies of correlated electron systems
PHYSICAL REVIEW B VOLUME 54, NUMBER 12 15 SEPTEMBER 1996-II Transfer of spectral weight in spectroscopies of correlated electron systems M. J. Rozenberg* Laboratoire de Physique Théorique, Ecole Normale
More informationFunctional renormalization group approach to interacting Fermi systems DMFT as a booster rocket
Functional renormalization group approach to interacting Fermi systems DMFT as a booster rocket Walter Metzner, Max-Planck-Institute for Solid State Research 1. Introduction 2. Functional RG for Fermi
More informationMetal-Mott insulator transitions
University of Ljubljana Faculty of Mathematics and Physics Seminar I b Metal-Mott insulator transitions Author: Alen Horvat Advisor: doc. dr. Tomaž Rejec Co-advisor: dr. Jernej Mravlje Ljubljana, September
More informationContinuous time QMC methods
Continuous time QMC methods Matthias Troyer (ETH Zürich) Philipp Werner (Columbia ETHZ) Emanuel Gull (ETHZ Columbia) Andy J. Millis (Columbia) Olivier Parcollet (Paris) Sebastian Fuchs, Thomas Pruschke
More informationA continuous time algorithm for quantum impurity models
ISSP, Aug. 6 p.1 A continuou time algorithm for quantum impurity model Philipp Werner Department of Phyic, Columbia Univerity cond-mat/512727 ISSP, Aug. 6 p.2 Outline Introduction Dynamical mean field
More informationQuantum impurity models Algorithms and applications
1 Quantum impurity models Algorithms and applications Collège de France, 5 Mai 21 O. Parcollet Institut de Physique Théorique CEA-Saclay, France Motivations : why do we need specific algorithms? A few
More information