Welcome to the Advanced Solid-State Physics lecture!

Study materials

List of key terms (with short explanations): updated 8.02.25

Exercises

Seminars

Schedule of seminars

Lecture 24 (3.02.2025): Complex correlated states

fractional quantum Hall effect

Current frontiers in correlated physics: open problems
Fractional quantum Hall: history of discovery and theory basics
Introductory reading on cuprate superconductors

Lecture 23 (28.01.2025): From solid to quantum liquid

fractionalization

Quantum spin liquid: origins and brief review

Lecture 22 (27.01.2025): Magnons and their implications

Goldstone mode

Lecture 21 (21.01.2025): Quantum world of spins

spin wave / magnon

Applications of spin waves (magnonics)

Lecture 20 (20.01.2025): Quirks of correlated materials

charge-tranfer energy

More on the charge-transfer energy and its role in correlated materials
Review of the Jahn-Teller effect with some practical implications

Lecture 19 (14.01.2025): Origin of Magnetism

exchange interaction

Rigorous perturbative treatment of the Hubbard model (slightly tedious exercise)

Lecture 18 (13.01.2025): Correlations and Hubbard model

Mott insulator and Mott transition

Lecture 17 (7.01.2025): Electronic instabilities

charge-density wave

room-temperature superconductor

Prospects of room-temperature superconductivity, and some details of the hydrides

Lecture 16 (6.01.2025): Electron pairing and The Gap

Cooper pair and BCS theory

Read from Bardeen himself about the development of the BCS theory

Lecture 15 (17.12.2024): Landau Fermi liquid

quasiparticle

Review and history of Fermi liquid theory
Useful lecture notes where you find derivations of the compressibility and Pomeranchuk instability

Lecture 14 (16.12.2024): En route to electronic correlations

density functional theory (DFT)

Perspectives from DFT veterans: Burke, Becke, Jones

Lecture 13 (3.12.2024): Zoo of topological semimetals

chiral anomaly

Lecture 12 (26.11.2024): Majorana fermions

Majorana edge modes

Majorana returns: a brief review
Topological quantum computing

Lecture 11 (25.11.2024): Weyl fermions

Fermi arcs

Weyl fermions in solid-state context: short introduction and theoretical overview

Lecture 10 (19.11.2024): Topological insulators go 3D

bulk-boundary correspondence

Reviews of topological insulators: simple and slightly more advanced
Topological electronics: prospects of using topological insulators in practical devices

Lecture 9 (18.11.2024): From quantum Hall to quantum spin Hall

Kramers theorem

Quantum spin Hall effect shows up in a quantum well: discovery of a topological insulator
Spin Hall effect in topological insulators and in the context of magnetic memory

Lecture 8 (12.11.2024): In search of the Chern insulator

Haldane model

experimental realization of Chern insulators

Live simulation of the Haldane model
Current situation in moiré materials: review and reproducibility aspects

Lecture 7 (11.11.2024): Quantum Hall effect, now anomalous

Chern number and Chern insulator

A topological look at the quantum Hall effect

Lecture 6 (5.11.2024): Band topology

anomalous velocity

Dawn of the topological age, or how topology enters materials physics

Lecture 5 (4.11.2024): Fresh look at the dynamics

Berry curvature and Berry phase

Aharovon-Bohm effect and geometric phase: an introductory reading

Lectures 3-4 (28-29.10.2024): Quantum Hall effect (integer)

Landau levels and edge states

Short review of the quantum Hall effect by von Klitzing himself, including applications in metrology
Quantum Hall effect: history of the discovery

Lecture 2 (22.10.2024): All about electrical transport

Hall effect, especially anomalous

Review of the anomalous Hall effect

Lecture 1 (21.10.2024): How to handle band structures?

tight-binding model

Review of band structures from Topocondmat
Materials Project: your collection of calculated band structures

N.B. Lecture slides contain images from publications that may be licensed differently from the rest of this webpage.