Solid State Physics
Core Stuff
But also who cares, ya know? Ashcroft and Mermin, Kittel
Band Diagrams Tight binding model Wannier States
Magnetism
Fermi liquids
QFT for solid state
Hartree-Fock https://en.wikipedia.org/wiki/Bogoliubov_transformation
Mesoscopic physics
2d electron gas https://en.wikipedia.org/wiki/Two-dimensional_electron_gas coulomb blockade ballistic conduction https://en.wikipedia.org/wiki/Ballistic_conduction the quantum of conductance https://en.wikipedia.org/wiki/Conductance_quantum https://en.wikipedia.org/wiki/Mesoscopic_physics https://en.wikipedia.org/wiki/Universal_conductance_fluctuations - speckle patterns, weak localization
Supriyo Datta https://nanohub.org/resources/6172#series Books: Quantum Transport Lessons from Nanoelectronics: A New Perspective on Transport Electronic Transport in Mesoscopic Systems
Beenakker https://en.wikipedia.org/wiki/Carlo_Beenakker
Non equilbrium Green’s function Landauer-buttiker formalism
Landauer formula https://en.wikipedia.org/wiki/Landauer_formula
Topological Materials
https://en.wikipedia.org/wiki/Topological_order Toplogical materials Su-schrieffer-hieger model Kitaev model - https://en.wikipedia.org/wiki/Majorana_fermion Honeycomb model The periodic table topological insulators grounds state degeneracy https://en.wikipedia.org/wiki/Topological_quantum_computer Edge states Topological protection Charles Kane
open online course on topology in condensed matter.
Berry Phase
Foucault pendulum. It precesses it’s plane as it is transported around the earth. Proportional to solid angle it sweeps out. Adiabatic changes to systems can induce subtle effects. Chern numbers geometric / berry phase
Topological defects
This is kind of another thing, but it does classify as topological physics
Quantum Hall Effect
https://en.wikipedia.org/wiki/Quantum_Hall_effect
Cyclotron orbits cycltron orbits bouncing along an edge Aharonov-bohm effect Landau levels https://en.wikipedia.org/wiki/Landau_quantization
Fractional
https://en.wikipedia.org/wiki/Fractional_quantum_Hall_effect https://en.wikipedia.org/wiki/Fractionalization Anyons - Preskill notes
Chern-simons theory - revi Non-Abelian Anyons and Topological Quantum Computation
Charge flux duality composite fermions
Laughlin wavefunctions https://en.wikipedia.org/wiki/Laughlin_wavefunction
Bosonization
https://en.wikipedia.org/wiki/Bosonization 1d electron gas, luttinger liquid Bosonization for Beginners — Refermionization for Experts
Fancy stuff I barely ever knew about
Anderson localization Kondo effect superconductivity spin liquid landau theory - symettry breaking disorder
Resource
Wen’s book Pierce