Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases

被引:63
|
作者
Belliard, S. [1 ]
Pimenta, R. A. [2 ]
机构
[1] Univ Cergy Pontoise, CNRS UMR 8089, Lab Phys Theor & Modelisat, F-95302 Cergy Pontoise, France
[2] Univ Fed Sao Carlos, Dept Fis, BR-13569905 Sao Carlos, SP, Brazil
基金
巴西圣保罗研究基金会; 瑞典研究理事会;
关键词
SPIN CHAIN; MODEL;
D O I
10.1016/j.nuclphysb.2015.03.016
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The spectral problem of the Heisenberg XXZ spin-1/2 chain on the segment is investigated within a modified algebraic Bethe ansatz framework. We consider in this work the most general boundaries allowed by integrability. The eigenvalues and the eigenvectors are obtained. They are characterised by a set of Bethe roots with cardinality equal to N, the length of the chain, and which satisfies a set of Bethe equations with an additional term. (C) 2015 The Authors. Published by Elsevier B.V.
引用
收藏
页码:527 / 552
页数:26
相关论文
共 50 条
  • [21] w Modified Algebraic Bethe Ansatz: Twisted XXX Case
    Belliard, Samuel
    Slavnov, Nikita A.
    Vallet, Benoit
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2018, 14
  • [22] Bethe ansatz of the open spin-s XXZ chain with nondiagonal boundary terms
    Murgan, Rajan
    JOURNAL OF HIGH ENERGY PHYSICS, 2009, (04):
  • [23] Bethe ansatz and boundary energy of the open spin-1-2 XXZ chain
    Murgan, Rajan
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2006, 56 (10-11) : 1237 - 1242
  • [24] Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
    Antonio, N. Cirilo
    Manojlovic, N.
    Salom, I.
    NUCLEAR PHYSICS B, 2014, 889 : 87 - 108
  • [25] Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain
    Frassek, Rouven
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (29)
  • [26] Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via Uqsl2 Symmetry
    Chernyak, Dmitry
    Gainutdinov, Azat M.
    Jacobsen, Jesper Lykke
    Saleur, Hubert
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2023, 19
  • [27] Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz
    Skrypnyk, T.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2023, 56 (20)
  • [28] Bethe ansatz description of edge-localization in the open-boundary XXZ spin chain
    Alba, Vincenzo
    Saha, Kush
    Haque, Masudul
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2013,
  • [29] Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry
    Links, J
    Foerster, A
    Karowski, M
    JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (02) : 726 - 735
  • [30] THERMAL BETHE-ANSATZ METHOD FOR THE SPIN-1/2 XXZ HEISENBERG CHAIN
    KOMA, T
    PROGRESS OF THEORETICAL PHYSICS, 1989, 81 (04): : 783 - 809