标题： 主题综述：Hatsugai-Kohmoto模型：Mott性与非费米液体的精确可解模型 显示英文标题

标题： Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid

摘要： 本教学性综述旨在为一个可精确求解的模型——Hatsugai-Kohmoto（HK）模型——提供一个温和的介绍，该模型具有无限范围的相互作用，但守恒质心。 尽管该模型是在1992年提出的，但自2020年以来，对其性质的深入研究涵盖了非常规超导性、拓扑有序态以及非费米液体行为。 我们关注其出现的非费米液体行为，并对其热力学、单粒子和两粒子关联函数进行讨论。 在微扰理论、重整化群和精确对角化计算的帮助下，也探索了围绕可求解极限的微扰。 我们希望本综述对对HK类模型或更一般的强关联电子系统感兴趣的研究生或研究人员有所帮助。 显示英文摘要

摘要： This pedagogic review aims to give a gentle introduction to an exactly solvable model, the Hatsugai-Kohmoto (HK) model, which has infinite-ranged interaction but conserves the center of mass. Although this model is invented in 1992, intensive studies on its properties ranging from unconventional superconductivity, topological ordered states to non-Fermi liquid behaviors are made since 2020. We focus on its emergent non-Fermi liquid behavior and provide discussion on its thermodynamics, single-particle and two-particle correlation functions. Perturbation around solvable limit has also been explored with the help of perturbation theory, renormalization group and exact diagonalization calculation. We hope the present review will be helpful for graduate students or researchers interested in HK-like models or more generic strongly correlated electron systems.