Customizing topological phases in the twisted bilayer superconductors with even-parity pairings

doi:10.1088/1674-1056/acd3e3

中国物理B ›› 2023, Vol. 32 ›› Issue (8): 87401-087401.doi: 10.1088/1674-1056/acd3e3

所属专题： SPECIAL TOPIC — Celebrating the 100th Anniversary of Physics Discipline of Xiamen University

Customizing topological phases in the twisted bilayer superconductors with even-parity pairings

Conghao Lin(林丛豪), Chuanshuai Huang(黄传帅), and Xiancong Lu(卢仙聪)^†

Department of Physics, Xiamen University, Xiamen 361005, China

收稿日期:2023-04-02 修回日期:2023-05-10 接受日期:2023-05-10 发布日期:2023-07-27
通讯作者: Xiancong Lu E-mail:xlu@xmu.edu.cn
基金资助:
Stimulating discussions with Zhenghao Yang are gratefully acknowledged.Project supported by the National Natural Science Foundation of China (Grant No.11974293).

Customizing topological phases in the twisted bilayer superconductors with even-parity pairings

Conghao Lin(林丛豪), Chuanshuai Huang(黄传帅), and Xiancong Lu(卢仙聪)^†

Department of Physics, Xiamen University, Xiamen 361005, China

Received:2023-04-02 Revised:2023-05-10 Accepted:2023-05-10 Published:2023-07-27
Contact: Xiancong Lu E-mail:xlu@xmu.edu.cn
Supported by:
Stimulating discussions with Zhenghao Yang are gratefully acknowledged.Project supported by the National Natural Science Foundation of China (Grant No.11974293).

摘要/Abstract

摘要： We investigate the topological properties of twisted bilayer superconductors with different even-parity pairings in each layer. In the presence of spin-orbit coupling, the Hamiltonian is mapped into an effective odd-parity superconductor. Based on this, we deduce the topological properties by examining the relative configuration between Fermi surface and Dirac pairing node. We show that mixed Rashba and Dresselhaus spin-orbit coupling and anisotropic hopping terms, which break the C₄ symmetry of the Fermi surface, can induce first-order topological superconductors with non-zero bulk Chern number. This provides a versatile way to control the topological phases of bilayer superconductors by adjusting the twisted angle and chemical potential. We demonstrate our results using a typical twisted angle of 53.13°, at which the translation symmetry is restored and the Chern number and edge state are calculated using the Moiré momentum.

关键词: topological superconductors, bilayer superconductors, twistronics, spin-orbit coupling

Abstract: We investigate the topological properties of twisted bilayer superconductors with different even-parity pairings in each layer. In the presence of spin-orbit coupling, the Hamiltonian is mapped into an effective odd-parity superconductor. Based on this, we deduce the topological properties by examining the relative configuration between Fermi surface and Dirac pairing node. We show that mixed Rashba and Dresselhaus spin-orbit coupling and anisotropic hopping terms, which break the C₄ symmetry of the Fermi surface, can induce first-order topological superconductors with non-zero bulk Chern number. This provides a versatile way to control the topological phases of bilayer superconductors by adjusting the twisted angle and chemical potential. We demonstrate our results using a typical twisted angle of 53.13°, at which the translation symmetry is restored and the Chern number and edge state are calculated using the Moiré momentum.

Key words: topological superconductors, bilayer superconductors, twistronics, spin-orbit coupling

中图分类号: (Multilayers, superlattices, heterostructures)

74.78.Fk

03.65.Vf (Phases: geometric; dynamic or topological) 71.70.Ej (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect) 71.10.Fd (Lattice fermion models (Hubbard model, etc.))

Conghao Lin(林丛豪), Chuanshuai Huang(黄传帅), and Xiancong Lu(卢仙聪). Customizing topological phases in the twisted bilayer superconductors with even-parity pairings[J]. 中国物理B, 2023, 32(8): 87401-087401.

Conghao Lin(林丛豪), Chuanshuai Huang(黄传帅), and Xiancong Lu(卢仙聪). Customizing topological phases in the twisted bilayer superconductors with even-parity pairings[J]. Chin. Phys. B, 2023, 32(8): 87401-087401.

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Customizing topological phases in the twisted bilayer superconductors with even-parity pairings

Customizing topological phases in the twisted bilayer superconductors with even-parity pairings

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