Ward-Takahashi relations for SO(4) symmetry in the Hubbard model

Atsushi Masumizu; Kiyoshi Sogo

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Ward-Takahashi relations for SO(4) symmetry in the Hubbard model

机译：Hubbard模型中SO（4）对称性的Ward-Takahashi关系

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摘要

Ward-Takahashi relations for spin symmetry SU(2)_S and pseudospin symmetry SU(2)_C are derived for the simple Hubbard model in arbitrary dimensions. For this purpose we generally discuss local SO(4) symmetry in terms of Clifford algebra, and employ a gauge transformed form of the original Hubbard Hamiltonian, which makes the Ward-Takahashi relations much simpler. Derived Ward-Takahashi relations are rewritten as the relations between self-energy and vertex part to discuss spontaneously broken symmetry and Fermi liquid property of the system for zero temperature magnetism.

机译：对于任意尺寸的简单Hubbard模型，导出了自旋对称SU（2）_S和伪自旋对称SU（2）_C的Ward-Takahashi关系。为此，我们通常根据Clifford代数讨论局部SO（4）对称性，并采用原始Hubbard哈密顿量的量表转换形式，这使Ward-Takahashi关系更加简单。将派生的Ward-Takahashi关系重写为自能量与顶点部分之间的关系，以讨论零温度磁性系统的自发破裂对称性和费米液体性质。

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《Physical review. B, Condensed Matter And Materials Physics》 |2005年第11期|p.115107.1-115107.12|共12页
作者
Atsushi Masumizu; Kiyoshi Sogo;
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作者单位

Elpida Memory, Inc., 2-2-1, Yaesu, Chuo-ku, Tokyo 104-0028, Japan;

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原文格式 PDF
正文语种 eng
中图分类固体物理学;
关键词
exchange; correlation; dielectric and magnetic response functions; plasmons; fermion systems and electron gas; electron gas; fermi gas;

机译：交换;相关性介电和磁响应功能;等离子体;费米子系统和电子气;电子气;费米气体;

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Ward-Takahashi relations for SO(4) symmetry in the Hubbard model

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