Andrea Morello. Nuclear spin dynamics in quantum regime of a singlemolecule. magnet. UBC Physics & Astronomy


 Ralph Thompson
 1 years ago
 Views:
Transcription
1 Nuclear spin dynamics in quantum regime of a singlemolecule magnet Andrea Morello UBC Physics & Astronomy Kamerlingh Onnes Laboratory Leiden University
2 Nuclear spins in SMMs Intrinsic source of decoherence
3 Nuclear bias
4 Nuclear bias
5 Nuclear bias
6 Nuclear bias
7 Nuclear bias
8 Nuclear bias
9 Nuclear bias The nuclear spin dynamics can stimulate the quantum tunneling N.V. Prokof ev and P.C.E. Stamp, J. Low Temp. Phys. 104, 143 (1996)
10 Nuclear relaxation electron spin fluctuations Energy At low temperature, the field produced by the electrons on the nuclei is quasistatic NMR in zero external field The fluctuations of the electron spins induce nuclear relaxation nuclei are local probes for (quantum?) fluctuations
11 55 Mn NMR spectra in zero applied field I nuclear = 5/2 3 NMR lines corresponding to the 3 inequivalent Mn sites central frequencies: 231, 277, 365 MHz hyperfine field at the nuclear site parallel to the anisotropy axis for the electron spin Y. Furukawa et al., PRB 64, (2001) T. Kubo et al., PRB 65, (2002)
12 Nuclear relaxation: inversion recovery M (t ) = A [ 1  B (100/63 exp(30 W t ) + 16/45 exp(12 W t ) + 2/35 exp(2 W t )] W = nuclear spinlattice relaxation rate A. Suter et al., J. Phys.: Cond. Matter 10, 5977 (1998)
13 Thermal activation 100 S z Nuclear relaxation rate (s 1 ) Temperature (K) Energy (K) ThA T QT
14 Thermal activation Nuclear relaxation rate (s 1 ) Temperature (K) Energy (K) S z ThA T QT Y. Furukawa et al., PRB 64, (2001) A. Morello et al., Polyhedron 22, 1743 (2003) see also A. Morello, condmat/ (2004)
15 Quantum tunneling fluctuations Nuclear relaxation rate (s 1 ) W = 0.03 s Temperature (K) Energy (K) S z ThA T QT The quantum tunneling fluctuations are able to relax the nuclear spins A. Morello et al., PRL 93, (2004)
16 External field B z // z By applying an external field B z, the resonance condition for tunneling is destroyed Peak in W(B z ) around zero field W (103 s 1 ) T = 20 mk demagnetized B z (T)
17 External field B z // z Both the zerofield value and the linewidth depend on the cluster s magnetization state T = 20 mk saturated W (103 s 1 ) B z (T) All this does not require any macroscopic change in the magnetization.
18 Fastrelaxing molecules Every real sample contains minority species with one or two flipped JahnTeller axes Smaller anisotropy barrier (15 K or 35 K instead of 65 K) fast Faster tunneling rate normal W. Wernsdorfer et al., Europhys. Lett. 47, 254 (1999) Z. Sun et al., Chem. Comm., 1973 (1999)
19 Intercluster nuclear coupling Echo intensity (a.u.) Time (ms)
20 Intercluster nuclear coupling Echo intensity (a.u.) Time (ms)
21 Intercluster nuclear coupling Echo intensity (a.u.) Time (ms)
22 Intercluster nuclear coupling Echo intensity (a.u.) ratio Time (ms) Nuclei in different cluster are mutually coupled spin diffusion A. Morello et al., PRL 93, (2004)
23 Isotope effect Echo intensity W = s 1 W = s 1 Sample with proton spins substituted by deuterium γ proton γ deuterium = Time (s) The reduced tunneling rate is directly measured by the 55 Mn relaxation rate
24 Nuclear spin temperature Temperature (K) Temperature (K) echo pulse (a) (a) Temperature (mk) (b) K Time (h) K T nucl Time (h) 0.2 echo T nucl 0.1 pulse wait Time (h) wait Temperature (mk) (b) Time (h) The nuclear spins follow the lattice temperature A. Morello et al., PRL 93, (2004)
25 Experimental facts: summary the nuclear spinlattice relaxation in the quantum regime is surprisingly fast ( s) the field dependence of W and the isotope effect demonstrate that tunneling fluctuations drive the nuclear relaxation the intercluster nuclear spin diffusion is fast compared to the timescale of spinlattice relaxation the fastrelaxing molecules are responsible for the tunneling dynamics the nuclear spins are in very good contact with the thermal bath
26 Peculiarities of the problem Standard NMR Tunneling of hyperfine field H = H static + H perturbation H = H H Perturbation theory is not applicable
27 Peculiarities of the problem Relaxation by impurities + spin diffusion Intercluster spin diffusion Minimum radius for spin diffusion Nuclei in the same sites are equivalent in all the clusters
28 Tunneling traversal time ħω 0 Ω 0 = frequency of the small oscillations on the bottom of the well τ T Ω 01 t Ω is the tunneling traversal time E.H. Hauge et al., Rev. Mod. Phys. 61, 917 (1989)
29 Coflipping probability S z Energy (K) ThA T QT in Mn 12 ac: Ω s ħω 0 E 9 E K 70 The probability for the nuclear spins to coflip with the tunneling electron spin is (ω N / Ω 0 ) The nuclear spins inside a tunneling molecule do not coflip with it N.V. Prokof ev and P.C.E. Stamp, condmat/ (1995)
30 Hyperfinesplit manifolds S z Energy (K) ThA T QT M M  1 M  2 M M M M  M  M M + 2 M  3 M  2 M  1 M 70 The hyperfine fields before and after tunneling are exactly antiparallel The hyperfinesplit manifolds on either sides of the barrier are simply mirrored with respect to the nuclear polarization. N.V. Prokof ev and P.C.E. Stamp, condmat/ (1995)
31 Unbiased case M M M = 0  M M The most probable tunneling transition (without coflipping nuclei) is between states with zero nuclear polarization.
32 Biased case e.g. by dipolar coupling with slow neighboring clusters M M M = 0  M M Now the M = 0 transition requires an initial polarization (e.g. M = 1 here)
33 Nuclear flipflops
34 Nuclear flipflops
35 Nuclear flipflops
36 Nuclear Nuclear flipflops flipflops
37 Nuclear Nuclear flipflops flipflops
38 Nuclear Nuclear flipflops flipflops
39 Nuclear Nuclear flipflops flipflops Spin diffusion helps finding the tunneling window, but does not change the total nuclear polarization
40 Spinphonon interaction
41 Spinphonon Spinphonon interaction interaction
42 Spinphonon Spinphonon interaction interaction
43 Spinphonon Spinphonon interaction interaction W emission of a phonon
44 Spinphonon Spinphonon interaction interaction W emission of a phonon
45 Spinphonon Spinphonon interaction interaction Now there s a net change in nuclear polarization (the spin temperature has been lowered!)
46 Spinphonon Spinphonon interaction interaction W absorption of a phonon
47 Spinphonon Spinphonon interaction interaction W absorption of a phonon
48 Spinphonon Spinphonon interaction interaction
49 Spinphonon Spinphonon interaction interaction
50 Spinphonon Spinphonon interaction interaction
51 Spinphonon Spinphonon interaction interaction
52 Detailed balance In this picture, it s easy to apply the condition of detailed balance to obtain the equilibrium nuclear polarization W W W W_  E/k B T = e E = ħω N M How does the spinphonon interaction work? Does the dipolar bias play a special role?
53 Modulation of dipolar bias
54 Modulation of dipolar bias
55 Modulation of dipolar bias
56 Modulation of dipolar bias
57 Modulation of dipolar bias
58 Modulation of dipolar bias
59 Waller + LandauZener Modulation of dipolar field by phonons: Waller mechanism Due to the soft ligands, Θ D 20 K intercluster Incoherent tunneling due to crossing through the resonance: LandauZener process I. Waller, Z. phys. 79, 370 (1932) C. Zener, Proc. R. Soc. London A 137, 696 (1932)
60 Tunnelingdriven nuclear relaxation rate x = fraction of fastrelaxing molecules W = x τ T 1 e.g. x = 0.01 (1 %) W = 0.03 s 1 τ T 1 = 3 s 1 realistic for the molceules with two flipped JT axes and 15 K barrier A. Morello, condmat/ (2004)
61 Complete description of the system Including: incoherent tunneling dynamics provided by fastrelaxing molecules
62 Complete description of the system Including: incoherent tunneling dynamics provided by fastrelaxing molecules
63 Complete description of the system Including: incoherent tunneling dynamics provided by fastrelaxing molecules Whole spin system relaxed by intercluster nuclear spin diffusion
64 Complete description of the system Including: incoherent tunneling dynamics provided by fastrelaxing molecules Whole spin system relaxed by intercluster nuclear spin diffusion thermal equilibrium with the lattice mediated by modulation of the dipolar bias due to lowenergy phonons A. Morello et al., PRL 93, (2004) Improved description of the interaction quantum spin spin bath
65 Conclusions The nuclear spins in Mn 12 ac can be relaxed by quantum tunneling fluctuations of the electron spin Spin diffusion between nuclei in neighboring molecules is essential, and has been directly observed The nuclear spin system remains in thermal equilibrium with the lattice We propose a complete model of the coupled system quantum spin + spin bath
66 Acknowledgements Oleg Bakharev Hans Brom Jos de Jongh Philip Stamp Igor Tupitsyn Boris Fine Wolfgang Wernsdorfer Dante Gatteschi Andrea Caneschi Roberta Sessoli (Leiden) (Vancouver) (Vancouver) (Knoxville) (Grenoble) (Firenze)
Decoherence in molecular magnets: Fe 8 and Mn 12
Decoherence in molecular magnets: Fe 8 and Mn 12 I.S. Tupitsyn (with P.C.E. Stamp) Pacific Institute of Theoretical Physics (UBC, Vancouver) Early 7s: Fast magnetic relaxation in rareearth systems (Dy
More informationmagnet Mn 12 tbutylacetate thermallyactivated down to 400 mk
Polyhedron 26 (2007) 2320 2324 www.elsevier.com/locate/poly 55 Mn nuclear spin relaxation in the truly axial singlemolecule magnet Mn 12 tbutylacetate thermallyactivated down to 400 mk A.G. Harter
More informationLecture2: Quantum Decoherence and Maxwell Angels L. J. Sham, University of California San Diego
Michigan Quantum Summer School Ann Arbor, June 1627, 2008. Lecture2: Quantum Decoherence and Maxwell Angels L. J. Sham, University of California San Diego 1. Motivation: Quantum superiority in superposition
More informationIntroduction to Relaxation Theory James Keeler
EUROMAR Zürich, 24 Introduction to Relaxation Theory James Keeler University of Cambridge Department of Chemistry What is relaxation? Why might it be interesting? relaxation is the process which drives
More informationChemistry 431. Lecture 23
Chemistry 431 Lecture 23 Introduction The Larmor Frequency The Bloch Equations Measuring T 1 : Inversion Recovery Measuring T 2 : the Spin Echo NC State University NMR spectroscopy The Nuclear Magnetic
More informationarxiv: v2 [condmat.meshall] 24 Jan 2011
Coherence of nitrogenvacancy electronic spin ensembles in diamond arxiv:006.49v [condmat.meshall] 4 Jan 0 P. L. Stanwix,, L. M. Pham, J. R. Maze, 4, 5 D. Le Sage, T. K. Yeung, P. Cappellaro, 6 P. R.
More informationDisordered Solids. real crystals spin glass. glasses. Grenoble
Disordered Solids real crystals spin glass glasses Grenoble 21.09.111 Tunneling of Atoms in Solids Grenoble 21.09.112 Tunneln Grenoble 21.09.113 KCl:Li Specific Heat specific heat roughly a factor of
More informationWe have already demonstrated polarization of a singular nanodiamond (or bulk diamond) via NitrogenVacancy (NV) centers 1
We have already demonstrated polarization of a singular nanodiamond (or bulk diamond) via NitrogenVacancy (NV) centers 1 Flipflops Bath narrowing Experiment Source Power (dbm) 10.8 10.6 10.4 10.2 0 5
More informationQuantum Tunneling of Magnetization in Molecular Magnets. Department of Physics, New York University. Tutorial T2: Molecular Magnets, March 12, 2006
Quantum Tunneling of Magnetization in Molecular Magnets ANDREW D. KENT Department of Physics, New York University Tutorial T2: Molecular Magnets, March 12, 2006 1 Outline 1. Introduction Nanomagnetism
More informationPlan of the lectures
Plan of the lectures 1. Introductory remarks on metallic nanostructures Relevant quantities and typical physical parameters Applications. Linear electron response: Mie theory and generalizations 3. Nonlinear
More informationRecent Developments in Quantum Dynamics of Spins
Recent Developments in Quantum Dynamics of Spins B. Barbara, R. Giraud*, I. Chiorescu*, W. Wernsdorfer, Lab. Louis Néel, CNRS, Grenoble. Collaborations with other groups: D. Mailly (Marcoussis) D. Gatteschi
More informationSupplementary Figure 1: Spin noise spectra of 55 Mn in bulk sample at BL =10.5 mt, before subtraction of the zerofrequency line. a, Contour plot of
1 Supplementary Figure 1: Spin noise spectra of 55 Mn in bulk sample at BL =10.5 mt, before subtraction of the zerofrequency line. a, Contour plot of the spin noise spectra calculated with Eq. (2) for
More informationChem 325 NMR Intro. The Electromagnetic Spectrum. Physical properties, chemical properties, formulas Shedding real light on molecular structure:
Physical properties, chemical properties, formulas Shedding real light on molecular structure: Wavelength Frequency ν Wavelength λ Frequency ν Velocity c = 2.998 10 8 m s 1 The Electromagnetic Spectrum
More informationCentro Universitario de la Defensa. Academia General Militar, Zaragoza, Spain.
This journal is The Royal Society of Chemistry 13 Electronic Supplementary Information {Dy(αfur) 3 } n : from double relaxation SingleIon Magnet behavior to 3D ordering E.Bartolomé, a J. Bartolomé, b
More informationElectrical Control of Single Spins in Semiconductor Quantum Dots Jason Petta Physics Department, Princeton University
Electrical Control of Single Spins in Semiconductor Quantum Dots Jason Petta Physics Department, Princeton University g Q 2 m T + S Mirror U 3 U 1 U 2 U 3 Mirror Detector See Hanson et al., Rev. Mod. Phys.
More informationSlow symmetric exchange
Slow symmetric exchange ϕ A k k B t A B There are three things you should notice compared with the Figure on the previous slide: 1) The lines are broader, 2) the intensities are reduced and 3) the peaks
More informationIntroduction to 1D and 2D NMR Spectroscopy (4) Vector Model and Relaxations
Introduction to 1D and 2D NMR Spectroscopy (4) Vector Model and Relaxations Lecturer: Weiguo Hu 71428 weiguoh@polysci.umass.edu October 2009 1 Approximate Description 1: Energy level model Magnetic field
More informationNuclear spins in semiconductor quantum dots. Alexander Tartakovskii University of Sheffield, UK
Nuclear spins in semiconductor quantum dots Alexander Tartakovskii University of Sheffield, UK Electron and nuclear spin systems in a quantum dot Confined electron and hole in a dot 5 nm Electron/hole
More informationMagnetic Resonance in magnetic materials
Ferdinando Borsa, Dipartimento di Fisica, Universita di Pavia Magnetic Resonance in magnetic materials Information on static and dynamic magnetic properties from Nuclear Magnetic Resonance and Relaxation
More informationRelaxation. Ravinder Reddy
Relaxation Ravinder Reddy Relaxation What is nuclear spin relaxation? What causes it? Effect on spectral line width Field dependence Mechanisms Thermal equilibrium ~106 spins leads to NMR signal! T1 Spinlattice
More informationSpins Dynamics in Nanomagnets. Andrew D. Kent
Spins Dynamics in Nanomagnets Andrew D. Kent Department of Physics, New York University Lecture 1: Magnetic Interactions and Classical Magnetization Dynamics Lecture 2: Spin Current Induced Magnetization
More informationElectron spin coherence exceeding seconds in highpurity silicon
Electron spin coherence exceeding seconds in highpurity silicon Alexei M. Tyryshkin, Shinichi Tojo 2, John J. L. Morton 3, H. Riemann 4, N.V. Abrosimov 4, P. Becker 5, H.J. Pohl 6, Thomas Schenkel 7,
More informationPhysical Background Of Nuclear Magnetic Resonance Spectroscopy
Physical Background Of Nuclear Magnetic Resonance Spectroscopy Michael McClellan Spring 2009 Department of Physics and Physical Oceanography University of North Carolina Wilmington What is Spectroscopy?
More information10.4 Continuous Wave NMR Instrumentation
10.4 Continuous Wave NMR Instrumentation coherent detection bulk magnetization the rotating frame, and effective magnetic field generating a rotating frame, and precession in the laboratory frame spinlattice
More informationPrinciples of Magnetic Resonance
С. Р. Slichter Principles of Magnetic Resonance Third Enlarged and Updated Edition With 185 Figures SpringerVerlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Contents 1. Elements of Resonance
More informationShallow Donors in Silicon as Electron and Nuclear Spin Qubits Johan van Tol National High Magnetic Field Lab Florida State University
Shallow Donors in Silicon as Electron and Nuclear Spin Qubits Johan van Tol National High Magnetic Field Lab Florida State University Overview Electronics The end of Moore s law? Quantum computing Spin
More informationPhysics & Astronomy UBC Vancouver Pacific Institute for Theoretical Physics
PCE STAMP DECOHERENCE in REAL SYSTEMS: MECHANISMS of DECOHERENCE (7 PINES, May 08, 2010) Physics & Astronomy UBC Vancouver Pacific Institute for Theoretical Physics SOME HISTORICAL PERSPECTIVE 1: OLDSTYLE
More informationSingle Electron Spin in Interacting Nuclear Spin Bath Coherence Loss and Restoration
Asilomar, CA, June 6 th, 2007 Single Electron Spin in Interacting Nuclear Spin Bath Coherence Loss and Restoration Wang Yao Department of Physics, University of Texas, Austin Collaborated with: L. J. Sham
More informationBiophysical Chemistry: NMR Spectroscopy
Relaxation & Multidimensional Spectrocopy Vrije Universiteit Brussel 9th December 2011 Outline 1 Relaxation 2 Principles 3 Outline 1 Relaxation 2 Principles 3 Establishment of Thermal Equilibrium As previously
More informationMeasuring SpinLattice Relaxation Time
WJP, PHY381 (2009) Wabash Journal of Physics v4.0, p.1 Measuring SpinLattice Relaxation Time L.W. Lupinski, R. Paudel, and M.J. Madsen Department of Physics, Wabash College, Crawfordsville, IN 47933 (Dated:
More informationPolarised Nucleon Targets for Europe, 2nd meeting, Bochum 2005
Polarised Nucleon Targets for Europe, nd meeting, Bochum Temperature dependence of nuclear spinlattice relaxations in liquid ethanol with dissolved TEMPO radicals H. Štěpánková, J. Englich, J. Kohout,
More informationNuclear spin control in diamond. Lily Childress Bates College
Nuclear spin control in diamond Lily Childress Bates College nanomri 2010 Hyperfine structure of the NV center: Excited state? Ground state m s = ±1 m s = 0 H = S + gµ S 2 z B z r s r r + S A N I N + S
More informationNMR Spectroscopy Laboratory Experiment Introduction. 2. Theory
1. Introduction 64311 Laboratory Experiment 11 NMR Spectroscopy Nuclear Magnetic Resonance (NMR) spectroscopy is a powerful and theoretically complex analytical tool. This experiment will introduce to
More informationSpin Dynamics Basics of Nuclear Magnetic Resonance. Malcolm H. Levitt
Spin Dynamics Basics of Nuclear Magnetic Resonance Second edition Malcolm H. Levitt The University of Southampton, UK John Wiley &. Sons, Ltd Preface xxi Preface to the First Edition xxiii Introduction
More informationNUCLEAR MAGNETIC RESONANCE. The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei.
14 Sep 11 NMR.1 NUCLEAR MAGNETIC RESONANCE The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei. Theory: In addition to its wellknown properties of mass, charge,
More informationCONTENTS. 2 CLASSICAL DESCRIPTION 2.1 The resonance phenomenon 2.2 The vector picture for pulse EPR experiments 2.3 Relaxation and the Bloch equations
CONTENTS Preface Acknowledgements Symbols Abbreviations 1 INTRODUCTION 1.1 Scope of pulse EPR 1.2 A short history of pulse EPR 1.3 Examples of Applications 2 CLASSICAL DESCRIPTION 2.1 The resonance phenomenon
More informationIntroduction. Resonant Cooling of Nuclear Spins in Quantum Dots
Introduction Resonant Cooling of Nuclear Spins in Quantum Dots Mark Rudner Massachusetts Institute of Technology For related details see: M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 99, 036602 (2007);
More informationMagnetic Resonance Spectroscopy
INTRODUCTION TO Magnetic Resonance Spectroscopy ESR, NMR, NQR D. N. SATHYANARAYANA Formerly, Chairman Department of Inorganic and Physical Chemistry Indian Institute of Science, Bangalore % I.K. International
More informationLecture 12. Electron Transport in Molecular Wires Possible Mechanisms
Lecture 12. Electron Transport in Molecular Wires Possible Mechanisms In Lecture 11, we have discussed energy diagrams of onedimensional molecular wires. Here we will focus on electron transport mechanisms
More informationQUANTUM SPIN DYNAMICS OF RAREEARTHS IONS
QUANTUM SPIN DYNAMICS OF RAREEARTHS IONS B. Barbara, W. Wernsdorfer, E. Bonet, L. Thomas (IBM), I. Chiorescu (FSU), R. Giraud (LPN) Laboratory Louis Néel, CNRS, Grenoble Collaborations with other groups
More informationNYU Spin Dynamics in Single Molecule Magnets. Andrew D. Kent
Spin Dynamics in Single Molecule Magnets Andrew D. Kent Department of Physics, New York University Collaborators: Gregoire de Loubens, Enrique del Barco Stephen Hill Dmitry Garanin Myriam Sarachik, Yosi
More informationLecture 2: Double quantum dots
Lecture 2: Double quantum dots Basics Pauli blockade Spin initialization and readout in double dots Spin relaxation in double quantum dots Quick Review Quantum dot Single spin qubit 1 Qubit states: 450
More informationMagnetic Resonance Spectroscopy EPR and NMR
Magnetic Resonance Spectroscopy EPR and NMR A brief review of the relevant bits of quantum mechanics 1. Electrons have spin,  rotation of the charge about its axis generates a magnetic field at each electron.
More informationThe Positive Muon as a Probe in Chemistry. Dr. Iain McKenzie ISIS Neutron and Muon Source STFC Rutherford Appleton Laboratory
The Positive Muon as a Probe in Chemistry Dr. Iain McKenzie ISIS Neutron and Muon Source STFC Rutherford Appleton Laboratory I.McKenzie@rl.ac.uk µsr and Chemistry Properties of atoms or molecules containing
More informationPCE STAMP. Physics & Astronomy UBC Vancouver. Pacific Institute for Theoretical Physics
Physics & Astronomy UBC Vancouver PCE STAMP Pacific Institute for Theoretical Physics http://pitp.physics.ubc.ca/index.html DECOHERENCE in QUANTUM SPIN SYSTEMS PITP/Les Houches Summer School on QUANTUM
More informationDecoherence in Josephson and Spin Qubits. Lecture 3: 1/f noise, twolevel systems
Decoherence in Josephson and Spin Qubits Alexander Shnirman University of Innsbruck Lecture 3: 1/f noise, twolevel systems 1. Phenomenology of 1/f noise 2. Microscopic models 3. Relation between T1 relaxation
More informationLandauZener tunneling in the presence of weak intermolecular interactions in a crystal of Mn 4 singlemolecule magnets
LandauZener tunneling in the presence of weak intermolecular interactions in a crystal of Mn 4 singlemolecule magnets W. Wernsdorfer, 1 S. Bhaduri, 2 A. Vinslava, 2 and G. Christou 2 1 Laboratoire L.
More informationSUPPLEMENTARY NOTE 1: ADDITIONAL CHARACTERIZATION OF NANODIAMOND SOLUTIONS AND THE OVERHAUSER EFFECT
1 SUPPLEMENTARY NOTE 1: ADDITIONAL CHARACTERIZATION OF NANODIAMOND SOLUTIONS AND THE OVERHAUSER EFFECT Nanodiamond (ND) solutions were prepared using high power probe sonication and analyzed by dynamic
More informationarxiv: v1 [condmat.meshall] 20 Sep 2013
Interlayer Diffusion of Nuclear Spin Polarization in ν = 2/3 Quantum Hall States arxiv:1309.5185v1 [condmat.meshall] 20 Sep 2013 MinhHai Nguyen, 1, Shibun Tsuda, 1 Daiju Terasawa, 2 Akira Fukuda, 2
More informationThe DeutschJosza Algorithm in NMR
December 20, 2010 Matteo Biondi, Thomas Hasler Introduction Algorithm presented in 1992 by Deutsch and Josza First implementation in 1998 on NMR system:  Jones, JA; Mosca M; et al. of a quantum algorithm
More informationPhysikalische Chemie IV (Magnetische Resonanz) HS Solution Set 2. Hand out: Hand in:
Solution Set Hand out:.. Hand in:.. Repetition. The magnetization moves adiabatically during the application of an r.f. pulse if it is always aligned along the effective field axis. This behaviour is observed
More informationFundamental MRI Principles Module 2 N. Nuclear Magnetic Resonance. Xray. MRI Hydrogen Protons. Page 1. Electrons
Fundamental MRI Principles Module 2 N S 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons positively charged neutrons no significant charge electrons negatively charged Protons
More informationChapter 7. Nuclear Magnetic Resonance Spectroscopy
Chapter 7 Nuclear Magnetic Resonance Spectroscopy I. Introduction 1924, W. Pauli proposed that certain atomic nuclei have spin and magnetic moment and exposure to magnetic field would lead to energy level
More information12. Spectral diffusion
1. Spectral diffusion 1.1. Spectral diffusion, TwoLevel Systems Until now, we have supposed that the optical transition frequency of each single molecule is a constant (except when we considered its variation
More informationIon traps. Trapping of charged particles in electromagnetic. Laser cooling, sympathetic cooling, optical clocks
Ion traps Trapping of charged particles in electromagnetic fields Dynamics of trapped ions Applications to nuclear physics and QED The Paul trap Laser cooling, sympathetic cooling, optical clocks Coulomb
More informationJoint Project between Japan and Korea M. Jeong, M. Song, S. Lee (KAIST, Korea) +KBSI T. Ueno, M. Matsubara (Kyoto University, Japan)+Fukui Univ.
Joint Project between Japan and Korea M. Jeong, M. Song, S. Lee (KAIST, Korea) +KBSI T. Ueno, M. Matsubara (Kyoto University, Japan)+Fukui Univ. +Vasiliev(Turku) 31 P NMR at low temperatures ( down to
More informationNMR: Formalism & Techniques
NMR: Formalism & Techniques Vesna Mitrović, Brown University Boulder Summer School, 2008 Why NMR?  Local microscopic & bulk probe  Can be performed on relatively small samples (~1 mg +) & no contacts
More informationTimescales of Protein Dynamics
Timescales of Protein Dynamics From HenzlerWildman and Kern, Nature 2007 Dynamics from NMR Show spies Amide Nitrogen Spies Report On Conformational Dynamics Amide Hydrogen Transverse Relaxation Ensemble
More informationNMR course at the FMP: NMR of organic compounds and small biomolecules  II 
NMR course at the FMP: NMR of organic compounds and small biomolecules  II  16.03.2009 The program 2/76 CW vs. FT NMR What is a pulse? Vectormodel Waterflipback 3/76 CW vs. FT CW vs. FT 4/76 Two methods
More informationQuantum step heights in hysteresis loops of molecular magnets
PHYSICAL REVIEW B, VOLUME 65, 224401 Quantum step heights in hysteresis loops of molecular magnets Jie Liu, 1 Biao Wu, 1 Libin Fu, 2 Roberto B. Diener, 1 and Qian iu 1 1 Department of Physics, The University
More informationInfluence of hyperfine interaction on optical orientation in selfassembled InAs/GaAs quantum dots
Influence of hyperfine interaction on optical orientation in selfassembled InAs/GaAs quantum dots O. Krebs, B. Eble (PhD), S. Laurent (PhD), K. Kowalik (PhD) A. Kudelski, A. Lemaître, and P. Voisin Laboratoire
More informationPCE STAMP. Physics & Astronomy UBC Vancouver. Pacific Institute for Theoretical Physics
PCE STAMP Physics & Astronomy UBC Vancouver Pacific Institute for Theoretical Physics Limitations of EFFECTIVE HAMILTONIANS Dissipation and Decoherence P.C.E. Stamp Arrows of Time 2004 (Outing Lodge,
More informationSuperoperators for NMR Quantum Information Processing. Osama Usman June 15, 2012
Superoperators for NMR Quantum Information Processing Osama Usman June 15, 2012 Outline 1 Prerequisites 2 Relaxation and spin Echo 3 Spherical Tensor Operators 4 Superoperators 5 My research work 6 References.
More informationNuclear spin spectroscopy for semiconductor hetero and nano structures
(Interaction and Nanostructural Effects in LowDimensional Systems) November 16th, Kyoto, Japan Nuclear spin spectroscopy for semiconductor hetero and nano structures Yoshiro Hirayama Tohoku University
More informationRelaxation, Multi pulse Experiments and 2D NMR
Relaxation, Multi pulse Experiments and 2D NMR To Do s Read Chapter 6 Complete the end of chapter problems; 6 1, 6 2, 6 3, 6 5, 6 9 and 6 10. Read Chapter 15 and do as many problems as you can. Relaxation
More informationInteraction between a singlemolecule
Interaction between a singlemolecule magnet Mn 12 monolayer and a gold surface 12 Kyungwha Park Department of Physics, Virginia Tech Salvador BarrazaLopez (postdoc) Michael C. Avery (undergraduate) Supported
More informationNonequilibrium magnetization dynamics in the Fe 8 singlemolecule magnet induced by highintensity microwave radiation
EUROPHYSICS LETTERS 1 July 2005 Europhys. Lett., 71 (1), pp. 110 116 (2005) DOI: 10.1209/epl/i2005100693 Nonequilibrium magnetization dynamics in the Fe 8 singlemolecule magnet induced by highintensity
More informationSupplementary Information
Supplementary Information I. Sample details In the set of experiments described in the main body, we study an InAs/GaAs QDM in which the QDs are separated by 3 nm of GaAs, 3 nm of Al 0.3 Ga 0.7 As, and
More informationTimescales of Protein Dynamics
Timescales of Protein Dynamics From HenzlerWildman and Kern, Nature 2007 Summary of 1D Experiment time domain data Fourier Transform (FT) frequency domain data or Transverse Relaxation Ensemble of Nuclear
More informationCOPYRIGHTED MATERIAL. Production of Net Magnetization. Chapter 1
Chapter 1 Production of Net Magnetization Magnetic resonance (MR) is a measurement technique used to examine atoms and molecules. It is based on the interaction between an applied magnetic field and a
More informationEPR of photochromic Mo 3+ in SrTiO 3
EPR of photochromic Mo 3+ in SrTiO 3 Th. W. Kool Van t Hoff Institute for Molecular Sciences, University of Amsterdam NL 1018 WV Amsterdam, the Netherlands March 2010 Abstract In single crystals of SrTiO
More informationAnisotropic Magnetic Structures in IronBased Superconductors
Anisotropic Magnetic Structures in IronBased Superconductors ChiCheng Lee, Weiguo Yin & Wei Ku CMTheory, CMPMSD, Brookhaven National Lab Department of Physics, SUNY Stony Brook Another example of SC
More informationLARGESCALE QUANTUM PHENOMENA COURSE. UNIVERSITY of INNSBRUCK. (June 2010)
LARGESCALE QUANTUM PHENOMENA COURSE to be given at the UNIVERSITY of INNSBRUCK (June 2010) INTRODUCTION 1.BASIC PHENOMENA 2.EXPERIMENTAL OBSERVATIONS 3.THEORETICAL FRAMEWORK LARGESCALE QUANTUM PHENOMENA:
More informationNMR of CeCoIn5. AJ LaPanta 8/15/2016
NMR of CeCoIn5 AJ LaPanta 8/15/2016 In CoNMR measurements on CeCoIn5, we see an increasing peak width below 50K. We interpret this as the growth of antiferromagnetic regions surrounding Cadmium dopants
More informationFerdowsi University of Mashhad
Spectroscopy in Inorganic Chemistry Nuclear Magnetic Resonance Spectroscopy spin deuterium 2 helium 3 The neutron has 2 quarks with a e/3 charge and one quark with a +2e/3 charge resulting in a total
More informationUses of Nuclear Magnetic Resonance (NMR) in Metal Hydrides and Deuterides. Mark S. Conradi
Uses of Nuclear Magnetic Resonance (NMR) in Metal Hydrides and Deuterides Mark S. Conradi Washington University Department of Physics St. Louis, MO 631304899 USA msc@physics.wustl.edu 1 Uses of Nuclear
More informationSemiclassical formulation
The story so far: Transport coefficients relate current densities and electric fields (currents and voltages). Can define differential transport coefficients + mobility. Drude picture: treat electrons
More informationLinear and nonlinear spectroscopy
Linear and nonlinear spectroscopy We ve seen that we can determine molecular frequencies and dephasing rates (for electronic, vibrational, or spin degrees of freedom) from frequencydomain or timedomain
More informationSuperconducting fluctuations, interactions and disorder : a subtle alchemy
Les défis actuels de la supraconductivité Dautreppe 2011 Superconducting fluctuations, interactions and disorder : a subtle alchemy Claude Chapelier, Benjamin Sacépé, Thomas Dubouchet INACSPSMSLaTEQS,
More informationCondon domains in the de Haas van Alphen effect. Magnetic domains of nonspin origine
in the de Haas van Alphen effect Magnetic domains of nonspin origine related to orbital quantization Jörg Hinderer, Roman Kramer, Walter Joss Grenoble High Magnetic Field laboratory Ferromagnetic domains
More informationSpin Relaxation and NOEs BCMB/CHEM 8190
Spin Relaxation and NOEs BCMB/CHEM 8190 T 1, T 2 (reminder), NOE T 1 is the time constant for longitudinal relaxation  the process of reestablishing the Boltzmann distribution of the energy level populations
More informationGeneral NMR basics. Solid State NMR workshop 2011: An introduction to Solid State NMR spectroscopy. # nuclei
: An introduction to Solid State NMR spectroscopy Dr. Susanne Causemann (Solid State NMR specialist/ researcher) Interaction between nuclear spins and applied magnetic fields B 0 application of a static
More informationT 1, T 2, NOE (reminder)
T 1, T 2, NOE (reminder) T 1 is the time constant for longitudinal relaxation  the process of reestablishing the Boltzmann distribution of the energy level populations of the system following perturbation
More informationChapter 8 Magnetic Resonance
Chapter 8 Magnetic Resonance 9.1 Electron paramagnetic resonance 9.2 Ferromagnetic resonance 9.3 Nuclear magnetic resonance 9.4 Other resonance methods TCD March 2007 1 A resonance experiment involves
More informationarxiv:condmat/ v2 23 Jan 2007
Nuclear Spins as Quantum Memory in Semiconductor Nanostructures W. M. Witzel and S. Das Sarma Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD 207424111
More informationNew example of JahnTeller isomerism in [Mn 12 O 12 (O 2 CR) 16 (H 2 O) 4 ] complexes
Polyhedron 22 (2003) 1783/1788 www.elsevier.com/locate/poly New example of JahnTeller isomerism in [Mn 12 O 12 (O 2 CR) 16 (H 2 O) 4 ] complexes Mònica Soler a, Wolfgang Wernsdorfer b, *, Ziming Sun c,
More informationB. Barbara, Institut Néel, CNRS, Grenoble. Brief history. Quantum nanomagnetism. Conclusion
Quantum tunnelling and coherence of mesoscopic spins B. Barbara, Institut Néel, CNRS, Grenoble Brief history From classical to quantum nanomagnetism Quantum nanomagnetism From relaxation to coherence Ensemble
More informationQuantum transport in nanoscale solids
Quantum transport in nanoscale solids The Landauer approach Dietmar Weinmann Institut de Physique et Chimie des Matériaux de Strasbourg Strasbourg, ESC 2012 p. 1 Quantum effects in electron transport R.
More informationThe Nuclear Emphasis
The Nuclear Emphasis Atoms are composed of electrons and nuclei we ll focus almost exclusively on the physical properties of the nucleus and the chemicoelectronic attributes of its environment. The nucleus
More informationMTLE6120: Advanced Electronic Properties of Materials. Semiconductor pn junction diodes. Reading: Kasap ,
MTLE6120: Advanced Electronic Properties of Materials 1 Semiconductor pn junction diodes Reading: Kasap 6.16.5, 6.96.12 Metalsemiconductor contact potential 2 ptype ntype ptype ntype Same semiconductor
More informationI690/B680 Structural Bioinformatics Spring Protein Structure Determination by NMR Spectroscopy
I690/B680 Structural Bioinformatics Spring 2006 Protein Structure Determination by NMR Spectroscopy Suggested Reading (1) Van Holde, Johnson, Ho. Principles of Physical Biochemistry, 2 nd Ed., Prentice
More informationAl 50 C 120 H 180 * D. Bono, 1 J. Hartig, 2 M. Huber, 2 H. Schno ckel, 2 and L. J. dejongh 1,3
Journal of Cluster Science, Vol. 18, No. 1, March 2007 (Ó 2007) DOI: 10.1007/s1087600701113 27 Al NMR Study of the Metal Cluster Compound Al 50 C 120 H 180 * D. Bono, 1 J. Hartig, 2 M. Huber, 2 H. Schno
More informationMagnetism and Magnetic Switching
Magnetism and Magnetic Switching Robert Stamps SUPASchool of Physics and Astronomy University of Glasgow A story from modern magnetism: The Incredible Shrinking Disk Instead of this: (1980) A story from
More informationarxiv:condmat/ v1 [condmat.meshall] 1 Dec 1998
A New Type of Electron NuclearSpin Interaction from Resistively Detected NMR in the Fractional Quantum Hall Effect Regime S. Kronmüller, W. Dietsche and K. v. Klitzing MaxPlanckInstitut für Festkörperforschung,
More informationDamping of magnetization dynamics
Damping of magnetization dynamics Andrei Kirilyuk! Radboud University, Institute for Molecules and Materials, Nijmegen, The Netherlands 1 2 LandauLifshitz equation N Heff energy gain:! torque equation:
More informationFundamental MRI Principles Module Two
Fundamental MRI Principles Module Two 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons neutrons electrons positively charged no significant charge negatively charged Protons
More informationIntroduction to Theory of Mesoscopic Systems
Introduction to Theory of Mesoscopic Systems Boris Altshuler Princeton University, Columbia University & NEC Laboratories America Lecture 5 Beforehand Yesterday Today Anderson Localization, Mesoscopic
More information8.2 The Nuclear Overhauser Effect
8.2 The Nuclear Overhauser Effect Copyright Hans J. Reich 2016 All Rights Reserved University of Wisconsin An important consequence of DD relaxation is the Nuclear Overhauser Effect, which can be used
More informationTHEORY OF MAGNETIC RESONANCE
THEORY OF MAGNETIC RESONANCE Second Edition Charles P. Poole, Jr., and Horacio A. Farach Department of Physics University of South Carolina, Columbia A Wileylnterscience Publication JOHN WILEY & SONS
More information10.3 NMR Fundamentals
10.3 NMR Fundamentals nuclear spin calculations and examples NMR properties of selected nuclei the nuclear magnetic moment and precession around a magnetic field the spin quantum number and the NMR transition
More information