Path integral methods for bosons, fermions, and spins; Renormalization group techniques; Superfluids; Low dimensional systems and Bosonization; Quantum phase transitions; Emergent gauge fields in condensed matter systems
Read and reproduce contemporary research papers in the field.
Alexander Altland, Ben Simons: Condensed matter field theory
Thierry Giamarchi: Quantum physics in one dimension
Subir Sachdev: Quantum phase transitions
Xiao-Gang Wen: Quantum field theory of many-body systems