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Author:

Chang, Zhi-wen (Chang, Zhi-wen.) | Hao, Wei-chang (Hao, Wei-chang.) | Liu, Xin (Liu, Xin.)

Indexed by:

Scopus SCIE

Abstract:

We show the connection between the second Chern number and topological defects, in a (4+1) -dimensional time -reversal invariant Dirac lattice model. It is discovered that two types of topological defects, the five -dimensional (5D) and four-dimensional (4D) point defects arise from the singular points of wave functions together with the geometric meaning of the second Chern number. We demonstrated that the 5D point defects appear at the band crossing positions with a topological transition, leading to a jump of the second Chern number. The 4D point defects exist in an insulating bulk, whose topological charges can give the evaluations of the second Chern number of energy bands. Finally, we discussed the possible structures of the boundary states in the light of the realization way of the 4D model. Our theory provides not only a new perspective to grasp the second Chern number, but also a simple approach to derive its values without calculating any integrals.

Keyword:

Author Community:

  • [ 1 ] [Chang, Zhi-wen]Beijing Univ Technol, Inst Theoret Phys, Sch Phys & Optoelect Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Liu, Xin]Beijing Univ Technol, Inst Theoret Phys, Sch Phys & Optoelect Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Hao, Wei-chang]Beihang Univ, Sch Phys, Beijing 100191, Peoples R China

Reprint Author's Address:

  • [Liu, Xin]Beijing Univ Technol, Inst Theoret Phys, Sch Phys & Optoelect Engn, Beijing 100124, Peoples R China;;

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Source :

EPL

ISSN: 0295-5075

Year: 2024

Issue: 3

Volume: 146

1 . 8 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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