The Bethe ansatz for 1D interacting anyons

被引：46

作者：

Batchelor, M. T. ^{[1
]}

Guan, X-W

He, J-S

机构：

[1] Australian Natl Univ, Dept Theoret Phys, Res Sch Phys Sci & Engn, Canberra, ACT 0200, Australia

[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2007年

关键词：

quantum integrability (Bethe ansatz); thermodynamic Bethe ansatz;

D O I：

10.1088/1742-5468/2007/03/P03007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper gives a pedagogic derivation of the Bethe ansatz solution for 1D interacting anyons. This includes a demonstration of the subtle role of the anyonic phases in the Bethe ansatz arising from the anyonic commutation relations. The thermodynamic Bethe ansatz equations defining the temperature dependent properties of the model are also derived, from which some ground state properties are obtained.

引用

页数：20

共 48 条

[1] One-dimensional XXZ model for particles obeying fractional statistics [J].