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Solid State Calculations - QMC for Materials - Session 5 of 7

QMCPACK via YouTube

Overview

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Learn to perform Quantum Monte Carlo calculations for materials and solid-state systems using QMCPACK, Quantum ESPRESSO, and Nexus in this comprehensive tutorial delivered by Raymond Caly. Master the fundamental concepts of modeling materials with periodic boundary conditions and understand how to address finite-size effects that arise in both DFT and QMC calculations. Explore advanced techniques including twist averaging procedures, grand canonical twist averaging, and methods for correcting two-body finite size effects through structure factor and KZK corrections. Discover how to construct and optimize wavefunctions for solid-state systems, including splined orbitals and hybrid representations. Follow a systematic checklist for conducting QMC calculations on solids and apply your knowledge through a hands-on lab exercise focusing on bulk carbon diamond. The session covers essential topics from basic periodic boundary conditions through advanced correction methods, providing both theoretical understanding and practical implementation guidance for materials science applications using quantum Monte Carlo methods.

Syllabus

00:00 Introduction
00:07 Modeling materials
02:30 Overview
03:46 Periodic boundary conditions
06:50 Finite-size effects
08:15 DFT and Bloch's theorem
11:18 Finite size effects in DFT
13:20 One-body finite size effects in QMC
18:38 Twist averaging
22:15 Twist averaging procedure
23:28 Twist averaged boundary conditions in practice
25:50 Grand canonical twist averaging
28:03 Are we done? No
30:44 Two-body finite size effects
32:59 Fixing two-body finite size effects
33:45 Model periodic Coulomb potential
34:20 Structure factor corrections
36:04 KZK corrections
38:04 Wavefunctions for solids
38:24 QMC wavefunctions
40:53 Splined orbitals
42:57 Hybrid representation
44:51 Wavefunction generation
47:28 Checklist for QMC on solids
50:47 Lab exercise for bulk carbon diamond
53:21 Q&A

Taught by

QMCPACK

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