Construct the bosonization theory step by step , both the field and constructive approach.The key is to derive the bosonic identity and bosoniztion dictionary.

One dimensional spinless t-V model wth kitaev pairing can be compared to classical 2D ANNNI model , and also can be solved at weak interaction with the bosonization method. This work shows the phase diagram of this model with an ICDW phase

Introduction to Luttinger Liquid

I have read a recent work on flat band superconductivity. In flat band majorana system , quantum metric provides an additional long range decay length other than the majorana localization length . The length therefore can be detected by superconduting correlation functions numerically.

Refer to the post titled quantum geometry. It is the numerical trial of the model in it

Notes in Kitaev Honeycomb model , Kitaev toric code model , Levin-Wen model , fusion laws , anyon condensation , edge anomanomalous

Notes in DMRG , Finite tempurature RG , Tensor Network , restricted path AFQMC , Lanczos ED and Worm QMC

Introduction in topological superconductor , topological edge states in graphene , Fu-Kane Model ,Haldane Model and Kane-Mele model.

Introduction to the Kitaev Chain Model and its properties.

Many body physics, Autumn 2024