2022-2023 / PHYS0976-1

Quantum modelling of materials properties

Duration

20h Th, 10h Pr

Number of credits

 Specialised master in nanotechnology4 crédits 

Lecturer

Language(s) of instruction

English language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Theory and methods for the calculation of the electronic structure of materials (crystals, nanostructures, molecules...). The course will cover the most common methods for the theoretical chemistry and physics of materials: * Hartree Fock (HF) * Density Functional Theory (DFT) * DFT with an external perturbation (DFPT) * N-body perturbation theory (MBPT), in particular GW

Learning outcomes of the learning unit

  • advanced quantum physics
  • applications of quantum physics to condensed matter: the outcome is to be able to identify and apply the correct theory needed for a given problem in condensed matter physics.
  • support to the master's thesis

Prerequisite knowledge and skills

Elementary quantum physics
Advanced mathematiics

Planned learning activities and teaching methods

Problem sets and computer-based exercises.

Mode of delivery (face to face, distance learning, hybrid learning)

Theory, practical exercices and computer simulation.

Recommended or required readings

R.M. Martin, Electronic Structure: Basic Theory and Practical Methods, Cambridge University Press (2004)
J.J. Sakurai, Modern Quantum Mechanics, Revised Ed., Addison-Wesley (1994)

Oral exam cast as either:

  • conference style seminar on the numerical simulations which have been carried out
  • standard oral exam on the theory covered in class
Report on the simulation work carried out by the student

Work placement(s)

Organizational remarks

Contacts

Philippe Ghosez, Institut of physique, B5, office 3/11, tel : 04/366.36.11, e-mail : philippe.ghosez@ulg.ac.be
Matthieu Verstraete, Institut of physique, B5, office 3/7, tel : 04/366.90.17, e-mail : Matthieu.Verstraete@ulg.ac.be

Association of one or more MOOCs

Items online

Slides for basics of electronic structure
These slides are used for the first half of the Quantum Materials course, on the basics of density functional theory:

Lesson 1: Basics of DFT

Lesson 2: Atomic energy levels, performance of DFT and pseudopotentials

Lesson 3: Treatment of the Kohn Sham equations: basis sets, boundary conditions, numerical resolution