Gauss quadrature based finite temperature Lanczos method  

作　　者：Jian Li Hai-Qing Lin 李健;林海青(Beijing Computational Science Research Center,Beijing 100193,China)

机构地区：[1]Beijing Computational Science Research Center,Beijing 100193,China

出　　处：《Chinese Physics B》2022年第5期36-45,共10页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11734002 and U1930402)。

摘　　要：The finite temperature Lanczos method(FTLM),which is an exact diagonalization method intensively used in quantum many-body calculations,is formulated in the framework of orthogonal polynomials and Gauss quadrature.The main idea is to reduce finite temperature static and dynamic quantities into weighted summations related to one-and twodimensional Gauss quadratures.Then lower order Gauss quadrature,which is generated from Lanczos iteration,can be applied to approximate the initial weighted summation.This framework fills the conceptual gap between FTLM and kernel polynomial method,and makes it easy to apply orthogonal polynomial techniques in the FTLM calculation.

关 键 词：exact diagonalization Lanczos method orthogonal polynomials 

分 类 号：O413[理学—理论物理]