The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents

被引:0
|
作者
A. Klümper
机构
[1] Universität zu Köln,
[2] Institut für Theoretische Physik,undefined
[3] Zülpicher Strasse 77,undefined
[4] 50937,undefined
[5] Germany,undefined
关键词
PACS. 75.10.Jm Quantized spin models- 75.40.-s Critical-point effects, specific heats, short-range order- 72.15.Nj Collective modes (e.g., in one-dimensional conductors);
D O I
暂无
中图分类号
学科分类号
摘要
We present numerical and analytical results for the thermodynamical properties of the spin-1/2 Heisenberg chain at arbitrary external magnetic field. Special emphasis is placed on logarithmic corrections in the susceptibility and specific heat at very low temperatures (T/J=10-24) and small fields. A longstanding controversy about the specific heat is resolved. At zero temperature the spin-Peierls exponent is calculated in dependence on the external magnetic field. This describes the energy response of the system to commensurate and incommensurate modulations of the lattice. The exponent for the spin gap in the incommensurate phase is given.
引用
收藏
页码:677 / 685
页数:8
相关论文
共 50 条
  • [21] Bell inequality in an exactly soluble spin-1/2 XX chain displaying spin-Peierls transition
    Chen, Bai-Jun
    Sun, Zhao-Yu
    Huang, Hai-Lin
    Wang, Bo
    EUROPEAN PHYSICAL JOURNAL B, 2014, 87 (12): : 1 - 7
  • [22] Spin-1/2 periodic nonuniform XX chains and the spin-Peierls instability
    Derzhko, O
    Richter, J
    Zaburannyi, O
    ACTA PHYSICA POLONICA A, 2000, 97 (05) : 931 - 934
  • [23] Phase diagram of a Heisenberg spin-Peierls model with quantum phonons
    Bursill, RJ
    McKenzie, RH
    Hamer, CJ
    PHYSICAL REVIEW LETTERS, 1999, 83 (02) : 408 - 411
  • [24] Criticality of the three-dimensional quantum spin-1/2 Heisenberg metamagnet
    Bublitz, E
    de Sousa, JR
    PHYSICS LETTERS A, 2004, 323 (1-2) : 9 - 15
  • [25] EFFECT OF SPIN-1/2 IMPURITY ON SPIN-1 ANTIFERROMAGNETIC HEISENBERG CHAIN
    KABURAGI, M
    TONEGAWA, T
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (02) : 420 - 424
  • [26] Spin diffusion and the anisotropic spin-1/2 Heisenberg chain
    Sirker, J.
    PHYSICAL REVIEW B, 2006, 73 (22):
  • [27] The spin-Peierls chain revisited
    Hager, Georg
    Weisse, Alexander
    Wellein, Gerhard
    Jeckelmann, Eric
    Fehske, Holger
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2007, 310 (02) : 1380 - 1382
  • [28] Quantum ising criticality in dimerized XY spin-1/2 chain
    Ye, F
    Xu, BW
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 39 (04) : 487 - 492
  • [29] Magnetism and thermodynamics of spin-(1/2,1) decorated Heisenberg chain with spin-1 pendants
    Gong, Shou-Shu
    Li, Wei
    Zhao, Yang
    Su, Gang
    PHYSICAL REVIEW B, 2010, 81 (21)
  • [30] Field-Induced Quantum Criticality and Universal Temperature Dependence of the Magnetization of a Spin-1/2 Heisenberg Chain
    Kono, Y.
    Sakakibara, T.
    Aoyama, C. P.
    Hotta, C.
    Turnbull, M. M.
    Landee, C. P.
    Takano, Y.
    PHYSICAL REVIEW LETTERS, 2015, 114 (03)