Solid State Physics

This is a collections of notes I’ve taken studying electronic materials and semiconductors. There is a wealth of resources explaining the physics of electron transport, but trying to absorb the information contained in these is like drinking from a fire hose. This document is my attempt to distill this dearth of knowledge into a single page. To that end, there is a lot of mathematical rigor missing in the more complicated topics. I do my best to include the mathematical intuition, but anything out of scope can be found in the references I link to at the end of the topic. This is not a one-stop shop for learning about electronic materials, but hopefully it is a good starting point or refresher.

Electrons and Holes

Crystal Lattice

Reciprocal Space

Equations of Motion

X-Ray Diffraction

Krönig-Penny Model

Electron Gas

Gellium Model

Hartree Fock Model

Phonons

Point Impurities

Effective Mass Theorem

Excitons

Weigner Excitons

Optical Absorption