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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fractional fermion number and Hall conductivity of domain walls

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Author(s):
Mateos Guilarte, J. [1] ; Vassilevich, D. [2, 3]
Total Authors: 2
Affiliation:
[1] Univ Salamanca, Dept Fis Fundamental, Salamanca - Spain
[2] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[3] Tomsk State Univ, Phys Dept, Tomsk - Russia
Total Affiliations: 3
Document type: Journal article
Source: Physics Letters B; v. 797, OCT 10 2019.
Web of Science Citations: 0
Abstract

In this letter the fractional fermion number of thick domain walls is computed. The analysis is achieved by developing the heat kernel expansion of the spectral eta function of the Dirac Hamiltonian governing the fermionic fluctuations around the domain wall. A formula is derived showing that a non null fermion number is always accompanied by a Hall conductivity induced on the wall. In the limit of thin and impenetrable walls the chiral bag boundary conditions arise, and the Hall conductivity is computed for this case as well. (C) 2019 The Authors. Published by Elsevier B.V. (AU)

FAPESP's process: 17/50294-1 - Quantum field theory in Dirac materials
Grantee:Dmitry Vasilevich
Support Opportunities: Regular Research Grants
FAPESP's process: 16/03319-6 - Non perturbative methods in quantum theory and QFT and their application to actual physical problems
Grantee:Dmitri Maximovitch Guitman
Support Opportunities: Research Projects - Thematic Grants