Condensed Matter Theories

Traditional Theories within Landau Paradigm

• Band Theory
• Ferromagnetism & Anti-ferromagnetism
• BCS Superconductivity
• Landau Fermi Liquids Theory
• Landau-Ginzberg Framework

Topological Materials

• Quantum Hall Physics
• Symmetry Protected Topological Phases
• Floquet Topological Materials

Strongly Correlated Electrons

Hubbard Model

• Mottness

Heavy Fermion System

• Kondo Effect
• Renormalization Group
• Kondo Lattice and Heavy Fermions

High-Tc Superconductivity

• Pseudogap
• D-wave Superconductivity

Luttinger Liquid

• Bosonization
• Conformal Field Theory

Spin Liquid

• Heisenberg Model
• Bethe Ansatz
• Kitaev Model
• Frustration

Fractional Quantum Hall Liquid

• Fractional Quantum Hall Effect
• Anyon Condensation

Gauge Theory of Strongly Correlated Electrons

Topological Order

• Phase and Phase Transition