Finite-size studies on the SO(5) symmetry of the Hubbard model

被引:41
|
作者
Meixner, S [1 ]
Hanke, W [1 ]
Demler, E [1 ]
Zhang, SC [1 ]
机构
[1] STANFORD UNIV,DEPT PHYS,STANFORD,CA 94305
关键词
D O I
10.1103/PhysRevLett.79.4902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present numerical evidence for the approximate SO(5) symmetry of the Hubbard model on a 10-site cluster. Various dynamic correlation functions involving the pi operators, the generators of the SO(5) algebra, are studied using exact diagonalization, and are found to possess sharp collective peaks. Our numerical results also lend support to the interpretation of the recent resonant neutron scattering peaks in the YBCO superconductors in terms of the Goldstone modes of the spontaneously broken SO(5) symmetry. Perturbations such as longer-ranged hoppings and interactions do not suppress the pi resonance in interesting parameter regimes.
引用
收藏
页码:4902 / 4905
页数:4
相关论文
共 50 条
  • [11] Finite-size scaling of the 5D Ising model
    Mon, K. K.
    Europhysics Letters, 34 (06):
  • [12] FINITE-SIZE STUDIES OF SEMION SYSTEMS
    XIE, XC
    SONG, H
    DASSARMA, S
    PHYSICAL REVIEW LETTERS, 1990, 65 (05) : 649 - 652
  • [13] FERMI-SURFACE OF THE ONE-DIMENSIONAL HUBBARD-MODEL - FINITE-SIZE EFFECTS
    BOURBONNAIS, C
    NELISSE, H
    REID, A
    TREMBLAY, AMS
    PHYSICA C, 1989, 162 : 805 - 806
  • [14] Variational cluster approach to the Hubbard model: Phase-separation tendency and finite-size effects
    Aichhorn, M.
    Arrigoni, E.
    Potthoff, M.
    Hanke, W.
    PHYSICAL REVIEW B, 2006, 74 (23)
  • [15] FINITE-SIZE EFFECTS IN THE 2-DIMENSIONAL NEGATIVE-U HUBBARD-MODEL
    BORMANN, D
    SCHNEIDER, T
    FRICK, M
    EUROPHYSICS LETTERS, 1991, 14 (02): : 101 - 106
  • [16] Dipolar Bose-Hubbard model in finite-size real-space cylindrical lattices
    Hughes, Michael
    Jaksch, Dieter
    PHYSICAL REVIEW A, 2022, 105 (05)
  • [17] Finite-size scaling of correlation functions in the one-dimensional Anderson-Hubbard model
    Nishimoto, Satoshi
    Shirakawa, Tomonori
    PHYSICAL REVIEW B, 2010, 81 (11):
  • [18] Finite-size Scaling Properties of the One-dimensional Extended Bose-Hubbard Model
    Shin, Jong-Geun
    Cha, Min-Chul
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2010, 56 (03) : 986 - 989
  • [19] FINITE-SIZE EFFECTS IN A NON-HALF-FILLED HUBBARD CHAIN
    WOYNAROVICH, F
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (19): : 4243 - 4256
  • [20] FINITE-SIZE STUDIES OF PHASES AND DIMERIZATION IN ONE-DIMENSIONAL EXTENDED PEIERLS-HUBBARD MODELS
    WAAS, V
    BUTTNER, H
    VOIT, J
    PHYSICAL REVIEW B, 1990, 41 (13): : 9366 - 9376