Advanced theoretical physics: Solid state physics (TV-B)10 ECTS
(englische Bezeichnung: Advanced theoretical physics: Solid state physics)
(Prüfungsordnungsmodul: Advanced theoretical physics)

Lectures:

• • Advanced theoretical physics: Solid state physics
    (Vorlesung, 4 SWS, Ana-Suncana Smith, Tue, Thu, 10:00 - 12:00, HD)
  • Advanced theoretical physics: Solid state physics (Exercise class)
    (Übung, 3 SWS, Ana-Suncana Smith et al., Thu, 16:00 - 19:00, SR 00.732, SR 02.779, SR 02.729; Thu, 14:00 - 19:00, HH)

Inhalt:

Contents:

• Structure of solids

Bravais lattices, reciprocal lattice, Brillouin zone

• The solid as a many-body problem

Hamiltonian of a solid, electron-electron interaction, electron-ion interaction, separation of electronic and ionic motion (Born-Oppenheimer approximation), types of bonding

• Lattice dynamics: Phonons

Harmonic approximation, classical solution, dispersion relation, acoustic and optical modes, Debye and Einstein model, quantum theory of lattice vibrations, phonons, density of states, van Hove singularities, thermal properties, anharmonic effects

• Electrons in a periodic potential

Bloch theorem, band structure, nearly free electrons, tight-binding method, Wannier functions, metals, insulators, semiconductors, density of states, Fermi surface, quantum statistics, thermal properties, Fermi distribution

• Electron-electron interaction

Hartree-Fock method, density functional theory, homogeneous electron gas

• Topics of current research
  

Lernziele und Kompetenzen:

Learning goals and competences:
Students

• comprehend, outline and explain the theory of structure and many-body properties of solids, phonons, electrons in a periodic potential and their interaction as well as transport theory

• apply the methods of advanced theoretical solid-state physics to specific problems
  

Literatur:

Literature:

• U. Rössler, Solid State Theory: An Introduction

• G. Czycholl, Theoretische Festkörperphysik

• N.W. Ashcroft, N.D. Mermin, Solid State Physics

• L. Kantorovich, Quantum Theory of the Solid State: An Introduction

• C. Kittel, Quantum Theory of Solids

• J.M. Ziman, Principles of the theory of solids
  

Bemerkung:

May be applied to specialisation 'Theoretical physics' or 'Condensed matter physics' in the physics master program starting winter term 2018/19.

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. Physics (Master of Science)
   (Po-Vers. 2018w | NatFak | Physics (Master of Science) | Master's examination | Advanced theoretical physics)

Studien-/Prüfungsleistungen:

Advanced theoretical physics 2: Solid state physics (Prüfungsnummer: 69611)

(englischer Titel: Advanced theoretical physics 2: Solid state physics)

Prüfungsleistung, Klausur, Dauer (in Minuten): 120, benotet, 10 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

Prüfungssprache: Englisch

Erstablegung: SS 2019, 1. Wdh.: SS 2019 (nur für Wiederholer)

1. Prüfer:

Ana-Suncana Smith