Superfluid states in α-T3 lattice

doi:10.1088/1674-1056/abea8a

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60306-060306.doi: 10.1088/1674-1056/abea8a

Superfluid states in α-T₃ lattice

Yu-Rong Wu(吴玉容) and Yi-Cai Zhang(张义财)^†

School of Physics and Materials Science, Guangzhou University, Guangzhou 510006, China

收稿日期:2020-12-04 修回日期:2021-02-05 接受日期:2021-03-01 出版日期:2021-05-18 发布日期:2021-05-27
通讯作者: Yi-Cai Zhang E-mail:zhangyicai123456@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11874127) and the startup grant from Guangzhou University.

Superfluid states in α-T₃ lattice

Yu-Rong Wu(吴玉容) and Yi-Cai Zhang(张义财)^†

School of Physics and Materials Science, Guangzhou University, Guangzhou 510006, China

Received:2020-12-04 Revised:2021-02-05 Accepted:2021-03-01 Online:2021-05-18 Published:2021-05-27
Contact: Yi-Cai Zhang E-mail:zhangyicai123456@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11874127) and the startup grant from Guangzhou University.

摘要/Abstract

摘要： The superfluid states of attractive Hubbard model in α-T₃ lattice are investigated. It is found that one usual needs three non-zero superfluid order parameters to describe the superfluid states due to three sublattices. When two hopping amplitudes are equal, the system has particle-hole symmetry. The flat band plays an important role in superfluid pairing near half filling. For example, when the filling factor falls into the flat band, the large density of states in the flat band favors superfluid pairing and the superfluid order parameters reach relatively large values. When the filling factor is in the gap between the flat band and upper band, the superfluid order parameters take small values due to the vanishing of density of states. The superfluid order parameters show nonmonotonic behaviors with the increase of filling factor. At last, we also investigate the edge states with open boundary conditions. It is shown that there exist some interesting edge states in the middle of quasi-particle bands.

关键词: superfluid states, flat band, α-T₃ lattice, particle-hole symmetry

Abstract: The superfluid states of attractive Hubbard model in α-T₃ lattice are investigated. It is found that one usual needs three non-zero superfluid order parameters to describe the superfluid states due to three sublattices. When two hopping amplitudes are equal, the system has particle-hole symmetry. The flat band plays an important role in superfluid pairing near half filling. For example, when the filling factor falls into the flat band, the large density of states in the flat band favors superfluid pairing and the superfluid order parameters reach relatively large values. When the filling factor is in the gap between the flat band and upper band, the superfluid order parameters take small values due to the vanishing of density of states. The superfluid order parameters show nonmonotonic behaviors with the increase of filling factor. At last, we also investigate the edge states with open boundary conditions. It is shown that there exist some interesting edge states in the middle of quasi-particle bands.

Key words: superfluid states, flat band, α-T₃ lattice, particle-hole symmetry

中图分类号: (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

03.75.Kk

67.85.Lm (Degenerate Fermi gases) 71.10.Fd (Lattice fermion models (Hubbard model, etc.)) 74.20.-z (Theories and models of superconducting state)

Yu-Rong Wu(吴玉容) and Yi-Cai Zhang(张义财). Superfluid states in α-T₃ lattice[J]. 中国物理B, 2021, 30(6): 60306-060306.

Yu-Rong Wu(吴玉容) and Yi-Cai Zhang(张义财). Superfluid states in α-T₃ lattice[J]. Chin. Phys. B, 2021, 30(6): 60306-060306.

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Superfluid states in α-T₃ lattice

Superfluid states in α-T₃ lattice

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