Collective modes of type-II Weyl fermions with repulsive S-wave interaction

doi:10.1088/1674-1056/ac3d81

中国物理B ›› 2022, Vol. 31 ›› Issue (2): 26701-026701.doi: 10.1088/1674-1056/ac3d81

Collective modes of type-II Weyl fermions with repulsive S-wave interaction

Xun-Gao Wang(王勋高)^1,2,3, Yuan Sun(孙远)³, Liang Liu(刘亮)³, and Wu-Ming Liu(刘伍明)^1,2,4,†

1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 Key Laboratory of Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China;
4 Songshan Lake Materials Laboratory, Dongguan 523808, China

收稿日期:2021-11-08 修回日期:2021-11-23 接受日期:2021-11-26 出版日期:2022-01-13 发布日期:2022-01-18
通讯作者: Wu-Ming Liu E-mail:wliu@iphy.ac.cn
基金资助:
Project supported by the National Key R&D Program of China (Grant No. 2016YFA0301500), the National Natural Science Foundation of China (Grants No. 61835013), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDB01020300 and XDB21030300). We are grateful to Sun FaDi for useful discussions.

Collective modes of type-II Weyl fermions with repulsive S-wave interaction

Xun-Gao Wang(王勋高)^1,2,3, Yuan Sun(孙远)³, Liang Liu(刘亮)³, and Wu-Ming Liu(刘伍明)^1,2,4,†

1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 Key Laboratory of Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China;
4 Songshan Lake Materials Laboratory, Dongguan 523808, China

Received:2021-11-08 Revised:2021-11-23 Accepted:2021-11-26 Online:2022-01-13 Published:2022-01-18
Contact: Wu-Ming Liu E-mail:wliu@iphy.ac.cn
Supported by:
Project supported by the National Key R&D Program of China (Grant No. 2016YFA0301500), the National Natural Science Foundation of China (Grants No. 61835013), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDB01020300 and XDB21030300). We are grateful to Sun FaDi for useful discussions.

摘要/Abstract

摘要： Three-dimensional type-II Weyl fermions possess overtilted cone-like low-energy band dispersion. Unlike the closed ellipsoidal Fermi surface for type-I Weyl fermions, the Fermi surface is an open hyperboloid for type-II Weyl fermions. We evaluate the spin and density susceptibility of type-II Weyl fermions with repulsive S-wave interaction by means of Green's functions. We obtain the particle-hole continuum along the tilted momentum direction and perpendicular to the tilted momentum direction respectively. We find the zero sound mode in some repulsive interaction strengths by numerically solving the pole equations of the susceptibility within the random-phase approximation.

关键词: Weyl fermions, zero sound mode, random-phase approximation

Abstract: Three-dimensional type-II Weyl fermions possess overtilted cone-like low-energy band dispersion. Unlike the closed ellipsoidal Fermi surface for type-I Weyl fermions, the Fermi surface is an open hyperboloid for type-II Weyl fermions. We evaluate the spin and density susceptibility of type-II Weyl fermions with repulsive S-wave interaction by means of Green's functions. We obtain the particle-hole continuum along the tilted momentum direction and perpendicular to the tilted momentum direction respectively. We find the zero sound mode in some repulsive interaction strengths by numerically solving the pole equations of the susceptibility within the random-phase approximation.

Key words: Weyl fermions, zero sound mode, random-phase approximation

中图分类号: (Degenerate Fermi gases)

67.85.Lm

72.15.Nj (Collective modes (e.g., in one-dimensional conductors))

Xun-Gao Wang(王勋高), Yuan Sun(孙远), Liang Liu(刘亮), and Wu-Ming Liu(刘伍明). Collective modes of type-II Weyl fermions with repulsive S-wave interaction[J]. 中国物理B, 2022, 31(2): 26701-026701.

Xun-Gao Wang(王勋高), Yuan Sun(孙远), Liang Liu(刘亮), and Wu-Ming Liu(刘伍明). Collective modes of type-II Weyl fermions with repulsive S-wave interaction[J]. Chin. Phys. B, 2022, 31(2): 26701-026701.

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Collective modes of type-II Weyl fermions with repulsive S-wave interaction

Collective modes of type-II Weyl fermions with repulsive S-wave interaction

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