A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains

被引：0
|
作者：
Bruno Nachtergaele
Daniel Ueltschi
机构：
[1] University of California,Department of Mathematics
[2] University of Warwick,Department of Mathematics
来源：
Letters in Mathematical Physics | 2017年 / 107卷
关键词：
Quantum spin chain; Dimerization; (; )-invariant chains; 82B10; 82B20; 82B26;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the family of spin-S quantum spin chains with a nearest neighbor interaction given by the negative of the singlet projection operator. Using a random loop representation of the partition function in the limit of zero temperature and standard techniques of classical statistical mechanics, we prove dimerization for all sufficiently large values of S.
引用
收藏
页码：1629 / 1647
页数：18
相关论文
共 50 条
  • [41] The integrable quantum group invariant A2n-1(2) and Dn+1(2) open spin chains
    Nepomechie, Rafael I.
    Pimenta, Rodrigo A.
    Retore, Ana L.
    NUCLEAR PHYSICS B, 2017, 924 : 86 - 127
  • [42] Quantum communication with SU(2) invariant separable 2 x N level systems
    Asthana, Sooryansh
    Bala, Rajni
    Ravishankar, V
    QUANTUM INFORMATION PROCESSING, 2022, 21 (01)
  • [43] Logarithmic corrections to finite-size spectrum of SU(N) symmetric quantum chains
    Majumdar, K
    Mukherjee, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (38): : L543 - L549
  • [44] Structure of spin correlations in high-temperature SU(N) quantum magnets
    Romen, Christian
    Lauchli, Andreas M.
    PHYSICAL REVIEW RESEARCH, 2020, 2 (04):
  • [45] Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
    Yu, Xue-Jia
    Shi, Shao-Hang
    Xu, Limei
    Li, Zi-Xiang
    PHYSICAL REVIEW LETTERS, 2024, 132 (03)
  • [46] Exact solutions for a universal set of quantum gates on a family of isospectral spin chains
    Karimipour, V
    Majd, N
    PHYSICAL REVIEW A, 2005, 72 (05):
  • [47] Quasilocalized excitations induced by long-range interactions in translationally invariant quantum spin chains
    Lerose, Alessio
    Zunkovic, Bojan
    Silva, Alessandro
    Gambassi, Andrea
    PHYSICAL REVIEW B, 2019, 99 (12)
  • [48] Super-quantum states in SU(2) invariant 3 x N level systems
    Adhikary, Soumik
    Panda, Ipsit Kumar
    Ravishankar, V.
    ANNALS OF PHYSICS, 2017, 377 : 87 - 95
  • [49] Quantum spin models for the SU(n)1 Wess-Zumino-Witten model
    Tu, Hong-Hao
    Nielsen, Anne E. B.
    Sierra, German
    NUCLEAR PHYSICS B, 2014, 886 : 328 - 363
  • [50] Charge excitations in SU(n) spin chains:: Exact results for the 1/r2 model
    Thomale, Ronny
    Schuricht, Dirk
    Greiter, Martin
    PHYSICAL REVIEW B, 2007, 75 (02)
12345