Miscellaneous Physics

Here I will store a bit of physics that can be related or unrelated to what I'm working on. Please be aware that there will inevitably be typos and misunderstandings, and please contact me if you find any.

Long Notes

Percolation in the Erdős–Rényi model, and Beyond

Ferromagnetism: Thouless, Nagaoka and Tasaki

Orthogonality Catastrophe: More Truly is Different

Gel'fand-Yaglom Trick: The Only Trick You Need for Functional Determinants?

Lieb's Lieder

Making Sense of Reshetikhin-Turaev Invariant: \(U_q(\mathfrak{sl}_2)\), Kauffman, and Jones

Taming Edgy Currents by Disorder

First passage time: when can I get home?

Short Notes

Kramers-Wannier Duality

No Solid State Triangular Lattice Hubbard Model?

Spin State of Halperin \((mmn)\) States