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Collective modes of type-ⅡWeyl fermions with repulsive S-wave interaction
引用本文:王勋高,孙远,刘亮,刘伍明.Collective modes of type-ⅡWeyl fermions with repulsive S-wave interaction[J].中国物理 B,2022,31(2):26701-026701.
作者姓名:王勋高  孙远  刘亮  刘伍明
作者单位: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
基金项目:supported by the National Key R&D Program of China(Grant No.2016YFA0301500);the National Natural Science Foundation of China(Grants No.61835013);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant Nos.XDB01020300 and XDB21030300)。
摘    要:Three-dimensional type-ⅡWeyl fermions possess overtilted cone-like low-energy band dispersion.Unlike the closed ellipsoidal Fermi surface for type-ⅠWeyl fermions,the Fermi surface is an open hyperboloid for type-ⅡWeyl fermions.We evaluate the spin and density susceptibility of type-ⅡWeyl 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
收稿时间:2021-11-08

Collective modes of type-II Weyl fermions with repulsive S-wave interaction
Xun-Gao Wang,Yuan Sun,Liang Liu,Wu-Ming Liu.Collective modes of type-II Weyl fermions with repulsive S-wave interaction[J].Chinese Physics B,2022,31(2):26701-026701.
Authors:Xun-Gao Wang  Yuan Sun  Liang Liu  Wu-Ming Liu
Institution: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
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.
Keywords:Weyl fermions  zero sound mode  random-phase approximation  
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