Computational Methods in Solid State Physics (B-KUL-H06A8A)

3 ECTSEnglish28 First termCannot be taken as part of an examination contract
POC Fysica en sterrenkunde

To become acquainted with the modern computational approaches to solid-state physics, based on the many-body Schrödinger equation (so-called ab-initio or first-principles methods). To understand the concepts underlying the principal methods, based on density functional theory (DFT), and grasp their limitations and applicability. To be able to compute the stuctural and electronic properties of solids, using DFT software packages.

The student has a knowledge of quantum mechanical concepts (wave mechanics), such as wavefunction, angular momentum, spin and the Schrödinger equation. He or she can solve this equation for the case of simple systems (square well, harmonic oscillator, hydrogen atom), and can interpret the solutions. In addition the student has basic knowledge of solid state physics (band structures, reciprocal space, Brillouin zone, density of states,...).
Necessary basis to disciplines as offered in the introductory courses H06E2A Quantum physics; H06F2A Semiconductor physics; H06O1A Atoomtheorie, chemische periodiciteit en chemische binding

Activities

2 ects. Computational Methods in Solid State Physics (B-KUL-H06A8a)

2 ECTSEnglishFormat: Lecture18 First term
POC Fysica en sterrenkunde

Introduction to ab-initio materials modelling

Many body Schrödinger equation and approximations

Density functional theory and its application to solids

Computation of equilibrium structures

Computation of the vibrational properties of solids 

Computation of band structures

Spin-polarized DFT and magnetic properties of solids

DFT beyond LDA and GGA: hybrid functionals, LDA+U, van der Waals functionals,...

First-principles molecular dynamics

Main book:

F. Giustino, Materials modelling using density functional theory (Oxford University Press, 2014)

Complementary books:

R.M. Martin, Electronic structure - Basic theory and practical methods (Cambridge University Press, 2004)

D. Sholl and J. Steckel, Density functional theory - A practical introduction (Wiley, 2009) 

1 ects. Computational Methods in Solid State Physics: Exercises and Labs (B-KUL-H06A9a)

1 ECTSEnglishFormat: Practical10 First term
POC Fysica en sterrenkunde

Computer exercise sessions, using a DFT software package. The structural and electronic properties of different materials are computed.

The students perform calculations with a DFT simulation package, and prepare a detailed report on their calculations. 

 

 

Evaluation

Evaluation: Computational Methods in Solid State Physics (B-KUL-H26A8a)

Type : Exam during the examination period
Description of evaluation : Written, Oral
Type of questions : Open questions


Part of the evaluation is based on the report from the computer exercice sessions.