SU（2） symmetry in a Hubbard model with spin-orbit coupling

We study the underlying symmetry in a spin-orbit coupled tight-binding model with Hubbard interaction.It is shown that,in the absence of the on-site interaction,the system possesses the SU（2）symmetry arising from the time reversal symmetry.The influence of the on-site interaction on the symmetry dep...

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Bibliographic Details
Published in中国科学：物理学、力学、天文学英文版 no. 11; pp. 2086 - 2091
Main Author ZHANG XiZheng JIN Liang SONG Zhi
Format Journal Article
LanguageEnglish
Published 2014
Subjects
Hubbard模型
SU（2）
旋转对称性
时间反演对称性
相互作用
紧束缚模型
耦合系统
自旋轨道耦合
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Summary:We study the underlying symmetry in a spin-orbit coupled tight-binding model with Hubbard interaction.It is shown that,in the absence of the on-site interaction,the system possesses the SU（2）symmetry arising from the time reversal symmetry.The influence of the on-site interaction on the symmetry depends on the topology of the networks：The SU（2）symmetry is shown to be the spin rotation symmetry of a simply-connected lattice even in the presence of the Hubbard interaction.On the contrary,the on-site interaction breaks the SU（2）symmetry of a multi-connected lattice.This fact indicates that a discrete spin-orbit coupled system has exclusive features from its counterpart in a continuous system.The obtained rigorous result is illustrated by a simple ring system.
Bibliography:11-5000/N
symmetry Hubbard orbit connected reversal rigorous contrary counterpart rotation tight
We study the underlying symmetry in a spin-orbit coupled tight-binding model with Hubbard interaction.It is shown that,in the absence of the on-site interaction,the system possesses the SU（2）symmetry arising from the time reversal symmetry.The influence of the on-site interaction on the symmetry depends on the topology of the networks：The SU（2）symmetry is shown to be the spin rotation symmetry of a simply-connected lattice even in the presence of the Hubbard interaction.On the contrary,the on-site interaction breaks the SU（2）symmetry of a multi-connected lattice.This fact indicates that a discrete spin-orbit coupled system has exclusive features from its counterpart in a continuous system.The obtained rigorous result is illustrated by a simple ring system.
ISSN:1674-7348
1869-1927