# Solid State Physics

- Core Stuff
- QFT for solid state
- Mesoscopic physics
- Topological Materials
- Quantum Hall Effect
- Bosonization
- Fancy stuff I barely ever knew about
- Resource

# Core Stuff

But also who cares, ya know? Ashcroft and Mermin, Kittel

Band Diagrams Tight binding model Wannier States

Magnetism

Fermi liquids https://en.wikipedia.org/wiki/Fermi_liquid_theory

# 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

anyons in python topological quantum computeration notes preskill for beginners https://en.wikipedia.org/wiki/Fusion_of_anyons https://yk-liu.github.io/2019/Introduction-to-QC-and-TQC-Anyon-Model/ Bosons vs Fermions. Abelian anyons F matrix R matrix

```
import numpy as np
```

# Bosonization

https://en.wikipedia.org/wiki/Bosonization 1d electron gas, luttinger liquid Bosonization for Beginners — Refermionization for Experts

Kac Moody luttinger liquid https://en.wikipedia.org/wiki/Luttinger_liquid Mattis Lieb 1965 Thierry Giamarchi’s Quantum Physics In One Dimension

jordan wigner trasnformation

# Fancy stuff I barely ever knew about

Anderson localization Kondo effect superconductivity spin liquid landau theory - symettry breaking disorder Wess Zumino Witten Schrieffer Wolf https://en.wikipedia.org/wiki/Schrieffer%E2%80%93Wolff_transformation Hubbard Model Scaling Laws critical points https://en.wikipedia.org/wiki/Critical_phenomena Widom Scaling. Rushbrook inqueality Bose Einstein Condensate

# Resource

Wen’s book Pierce Mahan Fradkin’s Field Theories of Condensed Matter Physics Ashcroft and mermin