Fractional fermion number and Hall conductivity of domain walls

Autor(es)

Mateos Guilarte, J. ^[1] ; Vassilevich, D. ^{[2, 3]}

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 797, OCT 10 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 17/50294-1 - Quantum field theory in Dirac materials
• Beneficiário: Dmitry Vasilevich
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/03319-6 - Métodos não perturbativos em teoria quântica e em TQC e aplicações deles aos problemas de física atuais
• Beneficiário: Dmitri Maximovitch Guitman
• Modalidade de apoio: Auxílio à Pesquisa - Temático