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
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