The quantum Hall effect and beyond (Spring 2020)

The integer quantum Hall effect .

The topological band insulator .

The fractional quantum Hall effect .

Modern Condensed Matter Physics: Correlations and Collective Behaviors (Spring 2023)

Introduction .

Zero temperature Green's function .

Fermi liquid theory .

Linear response theory .

Electron-phonon interaction .

Anderson localization .

Renormalization Group .

Quantum transport in mesoscopic system .

Impurity model and DMFT .

Entanglement entropy .

Statistical Mechanism (Fall 2023)

Ising model .

real space renormalization group .

Continuous symmetry .

KT transition .

Fractional statistics .

Boltzmann kinetic theory .

Non-equilbrium .

Advanced Solid State Physics (Spring 2025)

Graphene .

Anderson insulator and localization .

Hartee Fock theory .

The fermi liquid theory .

The superfluid theory .

The BCS theory .

Cuprates .

The Landau phase transition theory .

The spin wave theory .

The LSM theory .

Toric code model .

The integer quantum Hall effect .

The fractional quantum Hall effect .

Lecture notes on quantum magnetism (12/2024 @ USTC)

Selected topics on Quantum Magnetism .

Lecture notes on fuzzy sphere (08/2025 @ Summer School of Hangzhou)

Fuzzy Sphere .