Drafts

I would like to use this page to list some of my drafts, from my undergraduate period to now. It is a backup for me, and also maybe useful for possible novice in this area. The part in NKU is written in Chinese. (Xu Zhang does not promise the correctness of this column, but would be happy if you enjoy them)

Drafts in HKU

  1. Transport in 2D materials

    a. Linear and non-linear Kubo formula from current correlation

    b. Semiclassical Boltzmann equation for linear and non-linear response

    c. Skew scattering based on semiclassical Boltzmann equation

  2. K valley and Gamma valley TMD

    a. K valley flat band limit

    b. Gamma valley flat band limit

  3. Polynomial Sign problem in DQMC

  4. Basic Conformal symmetry

  5. 2D Ising exact solution

    a. Square and honeycomb lattice

    b. Triangle lattice

    c. Phase transition temperature range of triangle lattice

Drafts in NKU (Chinese)

  1. 有限温量子蒙特卡洛相关证明

    a. DQMC_1

    b. DQMC_2

    c. DQMC_3

    d. DQMC_4

  2. 投影量子蒙特卡洛相关证明

    a. PQMC_1

    b. PQMC_2

    c. PQMC_3

  3. 反铁磁海森堡基态性质

    a. AF_1

    b. AF_2

  4. 一维开边界紧束缚模型解析解

  5. Jumping Ball

  6. 人类发展狂想曲

  7. 早起鸟与早起虫

  8. 相对论

  9. 对方程根的操作与置换群

  10. 群论转动、生成元

  11. 散度旋度

  12. 数理正交性证明