Non-interacting Symmetric Single-Impurity Anderson Model on a Lattice at Finite Temperatures

被引：1

作者：

Mahmoud, Zakaria M. M. ^{[1
,2
]}

Gebhard, Florian ^{[1
]}

机构：

[1] Philipps Univ Marburg, Fachbereich Phys, D-35032 Marburg, Germany

[2] King Khalid Univ, Phys Dept, Fac Sci, POB 960, Abha 61421, Saudi Arabia

来源：

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS | 2019年 / 256卷 / 07期

关键词：

Fermi systems; impurity scattering; screening at finite temperatures;

D O I：

10.1002/pssb.201800670

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We study the non-interacting single-impurity Anderson model (resonant level model) on a lattice at finite temperature as an illustrative example for an exactly solvable quantum-mechanical problem, and derive the free energy, various thermodynamic potentials (internal energy, entropy, magnetization), and response functions (specific heat, zero-field magnetic susceptibility). We calculate the magnetic screening cloud, and derive the corresponding correlation length in one dimension beyond which the correlations decay exponentially. The present results remain qualitatively applicable for the interacting single-impurity Anderson model when the energy scale < SIC > CYRILLIC CAPITAL LETTER GHE of the resonant-level model is replaced by the Kondo scale T-K.

引用

页数：15