Key concepts in Density Functional Theory (II)
|
|
|
- Oswin O’Neal’
- 6 years ago
- Views:
Transcription
1 Kohn-Sham scheme and band structures European Theoretical Spectroscopy Facility (ETSF) CNRS - Laboratoire des Solides Irradiés Ecole Polytechnique, Palaiseau - France Present Address: LPMCN Université Lyon 1 - France April 14, 2008 CFC Coimbra
2 Outline 1 From Kohn-Sham equations to band structures An example 2
3 Outline 1 From Kohn-Sham equations to band structures An example 2
4 Can we calculate excited states within static DFT? Density functional theory in the Kohn-Sham scheme gives an efficient and accurate description of GROUND STATE properties (total energy, lattice constants, atomic structure, elastic constants, phonon spectra...) is not designed to access EXCITED STATES however...
5 Can we calculate excited states within static DFT? Density functional theory in the Kohn-Sham scheme gives an efficient and accurate description of GROUND STATE properties (total energy, lattice constants, atomic structure, elastic constants, phonon spectra...) is not designed to access EXCITED STATES however...
6 Can we calculate excited states within static DFT? Density functional theory in the Kohn-Sham scheme gives an efficient and accurate description of GROUND STATE properties (total energy, lattice constants, atomic structure, elastic constants, phonon spectra...) is not designed to access EXCITED STATES however...
7 Kohn-Sham band structure: some facts One-electron band structure is the dispersion of the energy levels n as a function of k in the Brillouin zone. The Kohn-Sham eigenvalues and eigenstates are not one-electron energy states for the electron in the solid. However, it is common to interpret the solutions of Kohn-Sham equations as one-electron states: the result is often a good representation, especially concerning band dispersion. Gap problem: the KS band structure underestimates systematically the band gap (often by more than 50%)
8 Band structures Discontinuity in V xc ε.6 ε.6 E g = (E (N+1) E (N) ) (E (N) E (N 1) ).6 ε ε 1 ε 1.6 ;& ( JDS.6 ( JDS E DFT g = ε KS N+1 εks N 1HOHFWURQV N 1HOHFWURQV N xc = E g E DFT g = V (N+1) xc (r) V (N) (r) xc Band gap error not due to LDA, but to the discontinuity in the exact V xc. L. J. Sham and M. Schlter, Phys. Rev. Lett. 51, 1888 (1983); L. J. Sham and M. Schlter, Phys. Rev. B 32, 3883 (1985). J. P. Perdew and M. Levy, Phys. Rev. Lett. 51, 1884 (1983). R. W. Godby, M. Schlüter and L. J. Sham, Phys. Rev. Lett. 56, 2415 (1986).
9 GaAs band structure 8 6 L 4 3,c Γ 15,c 2 L 1,c 0 X 3,c X 1,c Γ 1,c Γ 15,v Experimental gap: 1.53 ev DFT-LDA gap: 0.57 ev Energy (ev) L 3,v L 2,v X 5,v X 3,v X 1,v GaAs Applying a scissor operator (0.8 ev) we can correct the band structure. L 1,v -12 Γ 1,v L Γ X K Γ
10 DFT in practice 1 Pseudopotential or all-electron? 2 Represent Kohn-Sham orbitals on a basis (plane waves, atomic orbitals, gaussians, LAPW, real space grid,..) 3 Calculate the total energy for trial orbitals. For plane waves: 1 kinetic energy, Hartree potential in reciprocal space, 2 xc potential, external potential in real space 3 FFTs! 4 Sum over states = BZ integration for solids: special k-points 5 Iterate or minimize to self-consistency
11 Software supporting DFT Abinit ADF AIMPRO Atomistix Toolkit CADPAC CASTEP CPMD CRYSTAL06 DACAPO DALTON demon2k DFT++ DMol3 EXCITING Fireball FSatom - list of codes GAMESS (UK) GAMESS (US) GAUSSIAN JAGUAR MOLCAS MOLPRO MPQC NRLMOL NWChem OCTOPUS OpenMX ORCA ParaGauss PLATO PWscf (Quantum-ESPRESSO) Q-Chem SIESTA Spartan S/PHI/nX TURBOMOLE VASP WIEN2k functional theory
12 Outline 1 From Kohn-Sham equations to band structures An example 2
13 The code ABINIT First-principles computation of material properties : the ABINIT software project. X. Gonze et al, Computational Materials Science 25, (2002). A brief introduction to the ABINIT software package. X. Gonze et al, Zeit. Kristallogr. 220, (2005).
14 Coming soon: Tutorial III Ground state geometry and band structure of bulk silicon 1 Determination of the total energy. 2 Determination of the lattice parameter a. 3 Computation of the Kohn-Sham band structure.
15 Equilibrium geometry of silicon Our DFT-LDA lattice parameter: a = Bohr = Å Exp. value: a = Å at 25.
16 Kohn-Sham band structure of silicon 10 Energy [ev] ~ 0.5 ev Indirect gap Good dispersion of bands close to the gap Exp. gap = 1.17 ev Scissor operator = ev -12 U W Γ X W L Γ
17 Outline 1 From Kohn-Sham equations to band structures An example 2
18 Application of standard DFT to solids: band structure calculations (Kohn-Sham bands) We know that the Kohn-Sham bands are not quasiparticle states. However they turn out to give a qualitative picture in many cases. When they are completely wrong we need to go beyond standard DFT. Coming next: All you need to know to make a DFT calculation in practice!
19 Suggestion of essential bibliography Some additional items: R. M. Martin, Electronic structure: Basic Theory and Practical Methods, Cambridge University Press (2004). and references there.
Key concepts in Density Functional Theory (II) Silvana Botti
Kohn-Sham scheme, band structure and optical spectra European Theoretical Spectroscopy Facility (ETSF) CNRS - Laboratoire des Solides Irradiés Ecole Polytechnique, Palaiseau - France Temporary Address:
Key concepts in Density Functional Theory
From the many body problem to the Kohn-Sham scheme ILM (LPMCN) CNRS, Université Lyon 1 - France European Theoretical Spectroscopy Facility (ETSF) December 12, 2012 Lyon Outline 1 The many-body problem
Electronic properties of materials for solar cells:
Electronic properties of materials for solar cells: Which ab initio approaches can we trust? Silvana Botti 1 LSI, CNRS-CEA-École Polytechnique, Palaiseau, France 2 LPMCN, CNRS-Université Lyon 1, France
Second harmonic generation in silicon waveguides strained by silicon nitride
Second harmonic generation in silicon waveguides strained by silicon nitride M. Cazzanelli, 1 F. Bianco, 1 E. Borga, 1 G. Pucker, 2 M. Ghulinyan, 2 E. Degoli, 3 E. Luppi, 4,7 V. Véniard, 4 S. Ossicini,
Linear-response excitations. Silvana Botti
from finite to extended systems 1 LSI, CNRS-CEA-École Polytechnique, Palaiseau, France 2 LPMCN, CNRS-Université Lyon 1, France 3 European Theoretical Spectroscopy Facility September 3, 2008 Benasque, TDDFT
The electronic structure of materials 2 - DFT
Quantum mechanics 2 - Lecture 9 December 19, 2012 1 Density functional theory (DFT) 2 Literature Contents 1 Density functional theory (DFT) 2 Literature Historical background The beginnings: L. de Broglie
Key concepts in Density Functional Theory (I) Silvana Botti
From the many body problem to the Kohn-Sham scheme European Theoretical Spectroscopy Facility (ETSF) CNRS - Laboratoire des Solides Irradiés Ecole Polytechnique, Palaiseau - France Temporary Address: Centre
Walter Kohn was awarded with the Nobel Prize in Chemistry in 1998 for his development of the density functional theory.
Walter Kohn was awarded with the Nobel Prize in Chemistry in 1998 for his development of the density functional theory. Walter Kohn receiving his Nobel Prize from His Majesty the King at the Stockholm
Electron bands in crystals Pseudopotentials, Plane Waves, Local Orbitals
Electron bands in crystals Pseudopotentials, Plane Waves, Local Orbitals Richard M. Martin UIUC Lecture at Summer School Hands-on introduction to Electronic Structure Materials Computation Center University
Electronic Electr onic and and La t La t t ice ice Polar a i r zat za ion n Effe f c e t c s on the the Band Band Structur
Electronic and Lattice Polarization Effects on the Band Structure of Delafossite Transparent Conductive Oxides Fabio Trani 1 IDEA Virtual Lab (In Silico Development for emerging applications) Scuola Normale
Introduction to DFT and its Application to Defects in Semiconductors
Introduction to DFT and its Application to Defects in Semiconductors Noa Marom Physics and Engineering Physics Tulane University New Orleans The Future: Computer-Aided Materials Design Can access the space
Dept of Mechanical Engineering MIT Nanoengineering group
1 Dept of Mechanical Engineering MIT Nanoengineering group » Recap of HK theorems and KS equations» The physical meaning of the XC energy» Solution of a one-particle Schroedinger equation» Pseudo Potentials»
Introduction to First-Principles Method
Joint ICTP/CAS/IAEA School & Workshop on Plasma-Materials Interaction in Fusion Devices, July 18-22, 2016, Hefei Introduction to First-Principles Method by Guang-Hong LU ( 吕广宏 ) Beihang University Computer
GEM4 Summer School OpenCourseWare
GEM4 Summer School OpenCourseWare http://gem4.educommons.net/ http://www.gem4.org/ Lecture: Molecular Mechanics by Ju Li. Given August 9, 2006 during the GEM4 session at MIT in Cambridge, MA. Please use
Practical Guide to Density Functional Theory (DFT)
Practical Guide to Density Functional Theory (DFT) Brad Malone, Sadas Shankar Quick recap of where we left off last time BD Malone, S Shankar Therefore there is a direct one-to-one correspondence between
The Plane-wave Pseudopotential Method
The Plane-wave Pseudopotential Method k(r) = X G c k,g e i(g+k) r Chris J Pickard Electrons in a Solid Nearly Free Electrons Nearly Free Electrons Nearly Free Electrons Electronic Structures Methods Empirical
Molecular Mechanics: The Ab Initio Foundation
Molecular Mechanics: The Ab Initio Foundation Ju Li GEM4 Summer School 2006 Cell and Molecular Mechanics in BioMedicine August 7 18, 2006, MIT, Cambridge, MA, USA 2 Outline Why are electrons quantum? Born-Oppenheimer
Is there a future for quantum chemistry on supercomputers? Jürg Hutter Physical-Chemistry Institute, University of Zurich
Is there a future for quantum chemistry on supercomputers? Jürg Hutter Physical-Chemistry Institute, University of Zurich Chemistry Chemistry is the science of atomic matter, especially its chemical reactions,
Pseudopotentials: design, testing, typical errors
Pseudopotentials: design, testing, typical errors Kevin F. Garrity Part 1 National Institute of Standards and Technology (NIST) Uncertainty Quantification in Materials Modeling 2015 Parameter free calculations.
MBPT and TDDFT Theory and Tools for Electronic-Optical Properties Calculations in Material Science
MBPT and TDDFT Theory and Tools for Electronic-Optical Properties Calculations in Material Science Dott.ssa Letizia Chiodo Nano-bio Spectroscopy Group & ETSF - European Theoretical Spectroscopy Facility,
Density Functional Theory
Density Functional Theory Iain Bethune EPCC ibethune@epcc.ed.ac.uk Overview Background Classical Atomistic Simulation Essential Quantum Mechanics DFT: Approximations and Theory DFT: Implementation using
Fundamentals and applications of Density Functional Theory Astrid Marthinsen PhD candidate, Department of Materials Science and Engineering
Fundamentals and applications of Density Functional Theory Astrid Marthinsen PhD candidate, Department of Materials Science and Engineering Outline PART 1: Fundamentals of Density functional theory (DFT)
Institut Néel Institut Laue Langevin. Introduction to electronic structure calculations
Institut Néel Institut Laue Langevin Introduction to electronic structure calculations 1 Institut Néel - 25 rue des Martyrs - Grenoble - France 2 Institut Laue Langevin - 71 avenue des Martyrs - Grenoble
CHEM6085: Density Functional Theory
Lecture 11 CHEM6085: Density Functional Theory DFT for periodic crystalline solids C.-K. Skylaris 1 Electron in a one-dimensional periodic box (in atomic units) Schrödinger equation Energy eigenvalues
Ab Initio theories to predict ARPES Hedin's GW and beyond
Ab Initio theories to predict ARPES Hedin's GW and beyond Valerio Olevano Institut NEEL, CNRS, Grenoble, France and European Theoretical Spectroscopy Facility Many thanks to: Matteo Gatti, Pierre Darancet,
Lecture on First-principles Computations (14): The Linear Combination of Atomic Orbitals (LCAO) Method
Lecture on First-principles Computations (14): The Linear Combination of Atomic Orbitals (LCAO) Method 任新国 (Xinguo Ren) 中国科学技术大学量子信息重点实验室 Key Laboratory of Quantum Information, USTC Hefei, 2016.11.11 Recall:
Quantum Monte Carlo Benchmarks Density Functionals: Si Defects
Quantum Monte Carlo Benchmarks Density Functionals: Si Defects K P Driver, W D Parker, R G Hennig, J W Wilkins (OSU) C J Umrigar (Cornell), R Martin, E Batista, B Uberuaga (LANL), J Heyd, G Scuseria (Rice)
Table of Contents. Table of Contents Spin-orbit splitting of semiconductor band structures
Table of Contents Table of Contents Spin-orbit splitting of semiconductor band structures Relavistic effects in Kohn-Sham DFT Silicon band splitting with ATK-DFT LSDA initial guess for the ground state
Integrated Computational Materials Engineering Education
Integrated Computational Materials Engineering Education Lecture on Density Functional Theory An Introduction Mark Asta Dept. of Materials Science and Engineering, University of California, Berkeley &
Electronic and Vibrational Properties of Pbsns 3
IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-issn: 2278-1676,p-ISSN: 2320-3331, Volume 5, Issue 5 (May. - Jun. 2013), PP 12-17 N. N. Omehe 1, S. Ehika 2 and S. O. Azi 3 1 Federal
Ab Initio Study of the Mechanical, Electronic, Thermal and Optical Properties of Ge 2 Sb 2 Te 5
Ab Initio Study of the Mechanical, Electronic, Thermal and Optical Properties of Ge 2 Sb 2 Te 5 Odhiambo H. 1, Amolo G. 2, Makau N. 2, Othieno H. 1, and Oduor A. 1 1 Department of Physics, Maseno University,
Intro to ab initio methods
Lecture 2 Part A Intro to ab initio methods Recommended reading: Leach, Chapters 2 & 3 for QM methods For more QM methods: Essentials of Computational Chemistry by C.J. Cramer, Wiley (2002) 1 ab initio
Pseudopotentials for hybrid density functionals and SCAN
Pseudopotentials for hybrid density functionals and SCAN Jing Yang, Liang Z. Tan, Julian Gebhardt, and Andrew M. Rappe Department of Chemistry University of Pennsylvania Why do we need pseudopotentials?
Ab initio study of the electronic band structure and phonon dispersion spectra of Silicon disulphide (SiP 2 ) and Silicon diarsenide (SiAs 2 )
American Journal of Engineering Research (AJER) e-issn: 2320-0847 p-issn : 2320-0936 Volume-6, Issue-12, pp-439-447 www.ajer.org Research Paper Open Access Ab initio study of the electronic band structure
The frequency-dependent Sternheimer equation in TDDFT
The frequency-dependent Sternheimer equation in TDDFT A new look into an old equation Miguel A. L. Marques 1 Centre for Computational Physics, University of Coimbra, Portugal 2 LPMCN, Université Claude
Photoelectronic properties of chalcopyrites for photovoltaic conversion:
Photoelectronic properties of chalcopyrites for photovoltaic conversion: self-consistent GW calculations Silvana Botti 1 LSI, CNRS-CEA-École Polytechnique, Palaiseau, France 2 LPMCN, CNRS-Université Lyon
DENSITY FUNCTIONAL THEORY FOR NON-THEORISTS JOHN P. PERDEW DEPARTMENTS OF PHYSICS AND CHEMISTRY TEMPLE UNIVERSITY
DENSITY FUNCTIONAL THEORY FOR NON-THEORISTS JOHN P. PERDEW DEPARTMENTS OF PHYSICS AND CHEMISTRY TEMPLE UNIVERSITY A TUTORIAL FOR PHYSICAL SCIENTISTS WHO MAY OR MAY NOT HATE EQUATIONS AND PROOFS REFERENCES
FULL POTENTIAL LINEARIZED AUGMENTED PLANE WAVE (FP-LAPW) IN THE FRAMEWORK OF DENSITY FUNCTIONAL THEORY
FULL POTENTIAL LINEARIZED AUGMENTED PLANE WAVE (FP-LAPW) IN THE FRAMEWORK OF DENSITY FUNCTIONAL THEORY C.A. Madu and B.N Onwuagba Department of Physics, Federal University of Technology Owerri, Nigeria
Many-Body Perturbation Theory. Lucia Reining, Fabien Bruneval
, Fabien Bruneval Laboratoire des Solides Irradiés Ecole Polytechnique, Palaiseau - France European Theoretical Spectroscopy Facility (ETSF) Belfast, 27.6.2007 Outline 1 Reminder 2 Perturbation Theory
Electronic Structure Methodology 1
Electronic Structure Methodology 1 Chris J. Pickard Lecture Two Working with Density Functional Theory In the last lecture we learnt how to write the total energy as a functional of the density n(r): E
Chapter 3. The (L)APW+lo Method. 3.1 Choosing A Basis Set
Chapter 3 The (L)APW+lo Method 3.1 Choosing A Basis Set The Kohn-Sham equations (Eq. (2.17)) provide a formulation of how to practically find a solution to the Hohenberg-Kohn functional (Eq. (2.15)). Nevertheless
Polarizable Continuum Model Implementation in the Octopus code
Polarizable Continuum Model Implementation in the Octopus code Alain Delgado, Carlo Andrea Rozzi, Stefano Corni S3 Center, CNR Institute of Nanoscience, Modena, Italy. Outline 1- The basics of the Polarizable
Ab initio Electronic Structure
Ab initio Electronic Structure M. Alouani IPCMS, UMR 7504, Université Louis Pasteur, Strasbourg France http://www-ipcms.u-strasbg.fr In coll. with: B. Arnaud, O. Bengone, Y. Dappe, and S. Lebègue 1965
Band Structure Calculations; Electronic and Optical Properties
; Electronic and Optical Properties Stewart Clark University of Outline Introduction to band structures Calculating band structures using Castep Calculating optical properties Examples results Some applications
Electronic structure calculations with GPAW. Jussi Enkovaara CSC IT Center for Science, Finland
Electronic structure calculations with GPAW Jussi Enkovaara CSC IT Center for Science, Finland Basics of density-functional theory Density-functional theory Many-body Schrödinger equation Can be solved
SUPPLEMENTARY INFORMATION
Synthesis of an open-framework allotrope of silicon Duck Young Kim, Stevce Stefanoski, Oleksandr O. Kurakevych, Timothy A. Strobel Electronic structure calculations Electronic structure calculations and
Solid State Theory: Band Structure Methods
Solid State Theory: Band Structure Methods Lilia Boeri Wed., 11:00-12:30 HS P3 (PH02112) http://itp.tugraz.at/lv/boeri/ele/ Who am I? Assistant Professor, Institute for Theoretical and Computational Physics,
DFT / SIESTA algorithms
DFT / SIESTA algorithms Javier Junquera José M. Soler References http://siesta.icmab.es Documentation Tutorials Atomic units e = m e = =1 atomic mass unit = m e atomic length unit = 1 Bohr = 0.5292 Ang
Strained Silicon, Electronic Band Structure and Related Issues.
Strained Silicon, Electronic Band Structure and Related Issues. D. Rideau, F. Gilibert, M. Minondo, C. Tavernier and H. Jaouen STMicroelectronics,, Device Modeling 850 rue Jean Monnet, BP 16, F-38926 Crolles
Basis sets for SIESTA. Emilio Artacho. Nanogune, Ikerbasque & DIPC, San Sebastian, Spain Cavendish Laboratory, University of Cambridge
Basis sets for SIESTA Emilio Artacho Nanogune, Ikerbasque & DIPC, San Sebastian, Spain Cavendish Laboratory, University of Cambridge Solving: Basis set Expand in terms of a finite set of basis functions
Multi-Scale Modeling from First Principles
m mm Multi-Scale Modeling from First Principles μm nm m mm μm nm space space Predictive modeling and simulations must address all time and Continuum Equations, densityfunctional space scales Rate Equations
Kohn Sham density functional theory [1 3] is. Role of the Exchange Correlation Energy: Nature s Glue STEFAN KURTH, JOHN P. PERDEW.
![Kohn Sham density functional theory [1 3] is. Role of the Exchange Correlation Energy: Nature s Glue STEFAN KURTH, JOHN P. PERDEW.](/thumbs/80/82235561.jpg "Kohn Sham density functional theory [1 3] is. Role of the Exchange Correlation Energy: Nature s Glue STEFAN KURTH, JOHN P. PERDEW.")
Role of the Exchange Correlation Energy: Nature s Glue STEFAN KURTH, JOHN P. PERDEW Department of Physics and Quantum Theory Group, Tulane University, New Orleans, Louisiana 70118 Received 11 March 1999;
GW Many-Body Theory for Electronic Structure. Rex Godby
GW Many-Body Theory for Electronic Structure Rex Godby Outline Lecture 1 (Monday) Introduction to MBPT The GW approximation (non-sc and SC) Implementation of GW Spectral properties Lecture 2 (Tuesday)
Outline. Introduction: graphene. Adsorption on graphene: - Chemisorption - Physisorption. Summary
Outline Introduction: graphene Adsorption on graphene: - Chemisorption - Physisorption Summary 1 Electronic band structure: Electronic properties K Γ M v F = 10 6 ms -1 = c/300 massless Dirac particles!
6: Plane waves, unit cells, k- points and all that
The Nuts and Bolts of First-Principles Simulation 6: Plane waves, unit cells, k- points and all that Durham, 6th- 13th December 2001 CASTEP Developers Group with support from the ESF ψ k Network Overview
The Plane-Wave Pseudopotential Method
Hands-on Workshop on Density Functional Theory and Beyond: Computational Materials Science for Real Materials Trieste, August 6-15, 2013 The Plane-Wave Pseudopotential Method Ralph Gebauer ICTP, Trieste
DFT calculations of NMR indirect spin spin coupling constants
DFT calculations of NMR indirect spin spin coupling constants Dalton program system Program capabilities Density functional theory Kohn Sham theory LDA, GGA and hybrid theories Indirect NMR spin spin coupling
Explaining the apparent arbitrariness of the LDA-1/2 self-energy. correction method applied to purely covalent systems
Explaining the apparent arbitrariness of the LDA-1/2 self-energy correction method applied to purely covalent systems Kan-Hao Xue, 1,2 Leonardo R. C. Fonseca, 3 and Xiang-Shui Miao 1,2 1 School of Optical
Modified Becke-Johnson (mbj) exchange potential
Modified Becke-Johnson (mbj) exchange potential Hideyuki Jippo Fujitsu Laboratories LTD. 2015.12.21-22 OpenMX developer s meeting @ Kobe Overview: mbj potential The semilocal exchange potential adding
Exchange Correlation Functional Investigation of RT-TDDFT on a Sodium Chloride. Dimer. Philip Straughn
Exchange Correlation Functional Investigation of RT-TDDFT on a Sodium Chloride Dimer Philip Straughn Abstract Charge transfer between Na and Cl ions is an important problem in physical chemistry. However,
Density Functional Theory for Electrons in Materials
Density Functional Theory for Electrons in Materials Richard M. Martin Department of Physics and Materials Research Laboratory University of Illinois at Urbana-Champaign 1 Density Functional Theory for
PBS: FROM SOLIDS TO CLUSTERS
PBS: FROM SOLIDS TO CLUSTERS E. HOFFMANN AND P. ENTEL Theoretische Tieftemperaturphysik Gerhard-Mercator-Universität Duisburg, Lotharstraße 1 47048 Duisburg, Germany Semiconducting nanocrystallites like
André Schleife Department of Materials Science and Engineering
André Schleife Department of Materials Science and Engineering Yesterday you (should have) learned this: http://upload.wikimedia.org/wikipedia/commons/e/ea/ Simple_Harmonic_Motion_Orbit.gif 1. deterministic
Time Dependent Density Functional Theory. Francesco Sottile
Applications, limitations and... new frontiers Laboratoire des Solides Irradiés Ecole Polytechnique, Palaiseau - France European Theoretical Spectroscopy Facility (ETSF) Vienna, 19 January 2007 /55 Outline
Norm-conserving pseudopotentials and basis sets in electronic structure calculations. Javier Junquera. Universidad de Cantabria
Norm-conserving pseudopotentials and basis sets in electronic structure calculations Javier Junquera Universidad de Cantabria Outline Pseudopotentials Why pseudopotential approach is useful Orthogonalized
Nonlocal exchange correlation in screened-exchange density functional methods
Nonlocal exchange correlation in screened-exchange density functional methods Byounghak Lee and Lin-Wang Wang Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, California
Beyond time-dependent exact exchange: The need for long-range correlation
THE JOURNAL OF CHEMICAL PHYSICS 124, 144113 2006 Beyond time-dependent exact exchange: The need for long-range correlation Fabien Bruneval a European Theoretical Spectroscopy Facility (ETSF), Laboratoire
Supplementary Information
Supplementary Information Supplementary Figure 1: Electronic Kohn-Sham potential profile of a charged monolayer MoTe 2 calculated using PBE-DFT. Plotted is the averaged electronic Kohn- Sham potential
Ab initio phonon calculations in mixed systems
Ab initio phonon calculations in mixed systems Andrei Postnikov apostnik@uos.de Outline: Experiment vs. ab initio theory Ways of theory: linear response and frozen phonon approaches Applications: Be x
ALMA: All-scale predictive design of heat management material structures
ALMA: All-scale predictive design of heat management material structures Version Date: 2015.11.13. Last updated 2015.12.02 Purpose of this document: Definition of a data organisation that is applicable
exciting in a nutshell
http://exciting-code.org exciting in a nutshell Pasquale Pavone Humboldt-Universität zu Berlin http://exciting-code.org exciting in a (coco)nutshell Pasquale Pavone Humboldt-Universität zu Berlin Outline
References. Documentation Manuals Tutorials Publications
References http://siesta.icmab.es Documentation Manuals Tutorials Publications Atomic units e = m e = =1 atomic mass unit = m e atomic length unit = 1 Bohr = 0.5292 Ang atomic energy unit = 1 Hartree =
Energy dependence of the exchange-correlation kernel of time-dependent density functional theory: A simple model for solids
Energy dependence of the exchange-correlation kernel of time-dependent density functional theory: A simple model for solids Silvana Botti, Armel Fourreau, François Nguyen, Yves-Olivier Renault, Francesco
DFT: Exchange-Correlation
DFT: Local functionals, exact exchange and other post-dft methods Stewart Clark University of Outline Introduction What is exchange and correlation? Quick tour of XC functionals (Semi-)local: LDA, PBE,
A theoretical study of stability, electronic, and optical properties of GeC and SnC
JOURNAL OF APPLIED PHYSICS VOLUME 88, NUMBER 11 1 DECEMBER 2000 A theoretical study of stability, electronic, and optical properties of GeC and SnC Ravindra Pandey a) Department of Physics, Michigan Technological
Structural, electronic and optical properties of the quinary Al 0.50 Ga 0.38 In 0.12 N 0.03 Sb 0.97 :First-principles study
IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-issn: 78-1676,p-ISSN: 30-3331, Volume 9, Issue Ver. V (Mar Apr. 014), PP 1-16 Structural, electronic and optical properties of the quinary
MODULE 2: QUANTUM MECHANICS. Practice: Quantum ESPRESSO
MODULE 2: QUANTUM MECHANICS Practice: Quantum ESPRESSO I. What is Quantum ESPRESSO? 2 DFT software PW-DFT, PP, US-PP, PAW http://www.quantum-espresso.org FREE PW-DFT, PP, PAW http://www.abinit.org FREE
Supporting Information for Interfacial Effects on. the Band Edges of Functionalized Si Surfaces in. Liquid Water
Supporting Information for Interfacial Effects on the Band Edges of Functionalized Si Surfaces in Liquid Water Tuan Anh Pham,,, Donghwa Lee, Eric Schwegler, and Giulia Galli, Department of Chemistry, University
Supplemental Material: Experimental and Theoretical Investigations of the Electronic Band Structure of Metal-Organic Framework of HKUST-1 Type
Supplemental Material: Experimental and Theoretical Investigations of the Electronic Band Structure of Metal-Organic Framework of HKUST-1 Type Zhigang Gu, a Lars Heinke, a,* Christof Wöll a, Tobias Neumann,
Band calculations: Theory and Applications
Band calculations: Theory and Applications Lecture 2: Different approximations for the exchange-correlation correlation functional in DFT Local density approximation () Generalized gradient approximation
Prerequisites for reliable modeling with first-principles methods. P. Kratzer Fritz-Haber-Institut der MPG D Berlin-Dahlem, Germany
Prerequisites for reliable modeling with first-principles methods P. Kratzer Fritz-Haber-Institut der MPG D-14195 Berlin-Dahlem, Germany Prerequisites for modeling (I) Issues to consider when applying
Range-separated density-functional theory with long-range random phase approximation
Range-separated density-functional theory with long-range random phase approximation Julien Toulouse 1 Wuming Zhu 1, Andreas Savin 1, János Ángyán2 1 Laboratoire de Chimie Théorique, UPMC Univ Paris 6
Tutorial on DFPT and TD-DFPT: calculations of phonons and absorption spectra
Tutorial on DFPT and TD-DFPT: calculations of phonons and absorption spectra Iurii Timrov SISSA Scuola Internazionale Superiore di Studi Avanzati, Trieste Italy itimrov@sissa.it Computer modelling of materials
Geometry Optimisation
Geometry Optimisation Matt Probert Condensed Matter Dynamics Group Department of Physics, University of York, UK http://www.cmt.york.ac.uk/cmd http://www.castep.org Motivation Overview of Talk Background
Li = 1.6, rc Sn = 2.3, and rc S = 1.7 in bohr units. The
: Simulations of Its Structure and Electrolyte Properties N. A. W. Holzwarth Department of Physics, Wake Forest University, Winston-Salem, NC 2719, USA First principles simulations show that the ground
Li 4 SnS 4 : Simulations of Its Structure and Electrolyte Properties
: Simulations of Its Structure and Electrolyte Properties N. A. W. Holzwarth Department of Physics, Wake Forest University, Winston-Salem, NC, USA Introduction Recently, there has been significant progress
Electronic excitations in materials for solar cells
Electronic excitations in materials for solar cells beyond standard density functional theory Silvana Botti 1 LSI, École Polytechnique-CNRS-CEA, Palaiseau, France 2 LPMCN, CNRS-Université Lyon 1, France
Ultrafast surface carrier dynamics in topological insulators: Bi 2 Te 3. Marino Marsi
Ultrafast surface carrier dynamics in topological insulators: Bi 2 Te 3 Marino Marsi Laboratoire de Physique des Solides CNRS UMR 8502 - Université Paris-Sud IMPACT, Orsay, September 2012 Outline Topological
Phonon calculations with SCAN
Workshop on the SCAN density functional: Fundamentals, practices, and extensions Temple university, Philadelphia May 18th, 2017 Hands-on tutorial 3 Phonon calculations with SCAN Yubo Zhang and Jianwei
Ab-initio modeling of opto-electronic properties of molecules in solvents and in proximity to a semiconductor nanoparticle
Ab-initio modeling of opto-electronic properties of molecules in solvents and in proximity to a semiconductor nanoparticle Alain Delgado (a,b), Stefano Corni (b), Carlo Andrea Rozzi (b) Stefano Pittalis
The Nature of the Interlayer Interaction in Bulk. and Few-Layer Phosphorus
Supporting Information for: The Nature of the Interlayer Interaction in Bulk and Few-Layer Phosphorus L. Shulenburger, A.D. Baczewski, Z. Zhu, J. Guan, and D. Tománek, Sandia National Laboratories, Albuquerque,
Density Functional Theory (DFT) modelling of C60 and
ISPUB.COM The Internet Journal of Nanotechnology Volume 3 Number 1 Density Functional Theory (DFT) modelling of C60 and N@C60 N Kuganathan Citation N Kuganathan. Density Functional Theory (DFT) modelling
Electronic structure of solids: basic concepts and methods
Electronic structure of solids: basic concepts and methods Ondřej Šipr II. NEVF 514 Surface Physics Winter Term 2016-2017 Troja, 21st October 2016 Outline A bit of formal mathematics for the beginning
GW quasiparticle energies
Chapter 4 GW quasiparticle energies Density functional theory provides a good description of ground state properties by mapping the problem of interacting electrons onto a KS system of independent particles
MODULE 2: QUANTUM MECHANICS. Principles and Theory
MODULE 2: QUANTUM MECHANICS Principles and Theory You are here http://www.lbl.gov/cs/html/exascale4energy/nuclear.html 2 Short Review of Quantum Mechanics Why do we need quantum mechanics? Bonding and
Ensemble-generalization approach:
Ensemble-generalization approach: addressing some long-standing problems in DFT Eli Kraisler Max Planck Institute of Microstructure Physics, Halle (Saale), Germany DFT2016 summer school, Los Angeles, August
All-Electron Full-Potential Calculations at O(ASA) Speed A Fata Morgana?
All-Electron Full-Potential Calculations at O(ASA) Speed A Fata Morgana? SFB 484, Teilprojekt D6 October 5, 2007 Outline 1 2 3 Outline 1 2 3 Outline 1 2 3 Outline 1 2 3 Back in the 1930 s... John C. Slater
X-ray Spectroscopy Theory Lectures
TIMES Lecture Series SIMES-SLAC-Stanford Winter, 2017 X-ray Spectroscopy Theory Lectures J. J. Rehr I. Introduction to the Theory of X-ray spectra II. Real-space Green's function Theory and FEFF III. Inelastic
Preface Introduction to the electron liquid
Table of Preface page xvii 1 Introduction to the electron liquid 1 1.1 A tale of many electrons 1 1.2 Where the electrons roam: physical realizations of the electron liquid 5 1.2.1 Three dimensions 5 1.2.2
Comparison of various abinitio codes used in periodic calculations
Comparison of various abinitio codes used in periodic calculations 1 Prof.P. Ravindran, Department of Physics, Central University of Tamil Nadu, India & Center for Materials Science and Nanotechnology,