Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level

doi:10.1088/1674-1056/aca6d6

中国物理B ›› 2023, Vol. 32 ›› Issue (5): 57401-057401.doi: 10.1088/1674-1056/aca6d6

Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level

Delong Fang(方德龙)^† and Yunkang Cui(崔云康)

School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China

收稿日期:2022-09-13 修回日期:2022-11-09 接受日期:2022-11-29 出版日期:2023-04-21 发布日期:2023-05-05
通讯作者: Delong Fang E-mail:fangdel@njit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11804154), and the Scientific Research Foundation of NJIT (Grant Nos. YKJ201853 and CKJA201807).

Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level

Delong Fang(方德龙)^† and Yunkang Cui(崔云康)

School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China

Received:2022-09-13 Revised:2022-11-09 Accepted:2022-11-29 Online:2023-04-21 Published:2023-05-05
Contact: Delong Fang E-mail:fangdel@njit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11804154), and the Scientific Research Foundation of NJIT (Grant Nos. YKJ201853 and CKJA201807).

1. 2023-057401-SI.pdf(150KB)

摘要/Abstract

摘要： A theoretical study on discrete vortex bound states is carried out near a vortex core in the presence of a van Hove singularity (VHS) near the Fermi level by solving Bogoliubov-de Gennes (BdG) equations. When the VHS lies exactly at the Fermi level and also at the middle of the band, a zero-energy state and other higher-energy states whose energy ratios follow integer numbers emerge. These discrete vortex bound state peaks undergo a splitting behavior when the VHS or Fermi level moves away from the middle of the band. Such splitting behavior will eventually lead to a new arrangement of quantized vortex core states whose energy ratios follow half-odd-integer numbers.

关键词: vortex bound states, van Hove singularity, Fermi level, density of states

Abstract: A theoretical study on discrete vortex bound states is carried out near a vortex core in the presence of a van Hove singularity (VHS) near the Fermi level by solving Bogoliubov-de Gennes (BdG) equations. When the VHS lies exactly at the Fermi level and also at the middle of the band, a zero-energy state and other higher-energy states whose energy ratios follow integer numbers emerge. These discrete vortex bound state peaks undergo a splitting behavior when the VHS or Fermi level moves away from the middle of the band. Such splitting behavior will eventually lead to a new arrangement of quantized vortex core states whose energy ratios follow half-odd-integer numbers.

Key words: vortex bound states, van Hove singularity, Fermi level, density of states

中图分类号: (Electronic structure (photoemission, etc.))

74.25.Jb

74.25.Ha (Magnetic properties including vortex structures and related phenomena) 74.25.Op (Mixed states, critical fields, and surface sheaths)

Delong Fang(方德龙) and Yunkang Cui(崔云康). Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level[J]. 中国物理B, 2023, 32(5): 57401-057401.

Delong Fang(方德龙) and Yunkang Cui(崔云康). Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level[J]. Chin. Phys. B, 2023, 32(5): 57401-057401.

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Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level

Discrete vortex bound states with a van Hove singularity in the vicinity of the Fermi level

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