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
收藏
页数：20
相关论文
共 50 条
  • [31] Thermodynamic Bethe Ansatz for N=1 supersymmetric theories
    Moriconi, M
    Schoutens, K
    NUCLEAR PHYSICS B, 1996, 464 (03) : 472 - 491
  • [32] Rigged configurations and the Bethe ansatz
    Schilling, A
    SYMMETRY AND STRUCTURAL PROPERTIES OF CONDENSED MATTER, 2003, : 201 - 223
  • [33] Bethe ansatz and isomondromy deformations
    D. V. Talalaev
    Theoretical and Mathematical Physics, 2009, 159 : 627 - 639
  • [34] Bethe Ansatz and supersymmetric vacua
    Nekrasov, Nikita
    Shatashvili, Samson
    ADVANCES IN THEORETICAL PHYSICS, 2009, 1134 : 154 - +
  • [35] Discrete thermodynamic Bethe ansatz
    Bergère, M
    Imura, KI
    Ouvry, S
    NUCLEAR PHYSICS B, 2001, 608 (03) : 577 - 590
  • [36] Persistent Currents and Bethe Ansatz
    Kirsanskas, G.
    Matulis, A.
    ACTA PHYSICA POLONICA A, 2011, 119 (02) : 158 - 160
  • [37] Hirota equation and Bethe ansatz
    A. V. Zabrodin
    Theoretical and Mathematical Physics, 1998, 116 : 782 - 819
  • [38] Universal Bethe Ansatz and Scalar Products of Bethe Vectors
    Belliard, Samuel
    Pakuliak, Stanislav
    Ragoucy, Eric
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2010, 6
  • [39] Introduction to the thermodynamic Bethe ansatz
    van Tongeren, Stijn J.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (32)
  • [40] INTRODUCTION TO ALGEBRAIC BETHE ANSATZ
    TAKHTAJAN, LA
    LECTURE NOTES IN PHYSICS, 1985, 242 : 175 - 219
12345