PHYS 211B: Solid-State Physics II

Lecture Notes

• Landscape of equilibrium phases of matter
• Bosons in continuum: BEC vs Superfluid
• Bosons on lattice: Superfluid to Mott transition
• Superfluids in d = 2: BKT transition
• Relation between filling and degeneracy (Oshikawa's flux-threading argument)
• Introduction to quantum magnetism
• Neutron scattering and single-mode approximation
• Born-Oppenheimer approximation
• Ground state of free fermions
• Thermodynamics of free fermions
• Sharp fermi surface leads to power law correlations
• Introduction to linear response
• Linear response to density perturbation
• Some applications of linear response
• Mean-field theory of SDW for nested Fermi surface
• Phenomenology of superconductors
• Thermodynamical constraints on superconductors
• Superconductors are not superfluids
• BCS theory
• Superconductors in a magnetic field
• Electromagnetic response of superconductors
• BCS theory of disordered superconductors
• Josephson effect