APPLICATION OF THE SCHUR-WEYL DUALITY IN THE ONE-DIMENSIONAL HUBBARD MODEL

被引:0
作者
Jakubczyk, Dorota [1 ]
机构
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland
关键词
Hubbard model; Schur-Weyl duality; symmetric group; SYMMETRY;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an application of the Schur-Weyl duality in the one-dimensional Hubbard model in the case of a half-filled system of any number of atoms. We replace the actions of the dual symmetric and unitary groups in the whole 4(N)-dimensional Hilbert space by the actions of the dual groups in the spin and pseudo-spin spaces. The calculations significantly reduce the dimension of the eigenproblem of the one-dimensional Hubbard model.
引用
收藏
页码:293 / 304
页数:12
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