Compartir
Título
Fractional fermion number and Hall conductivity of domain walls
Autor(es)
Materia
Fractional fermion number of thick domain walls
Heat kernel expansion
Spectral eta function
Non null fermion number
Hall conductivity induced on the wall
Clasificación UNESCO
22 Física
Fecha de publicación
2019-10-10
Citación
Guilarte, J. and Vassilevich, D., 2019. Fractional fermion number and Hall conductivity of domain walls. Physics Letters B, 797, p.134935. https://doi.org/10.1016/j.physletb.2019.134935
Resumen
[EN] 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.
URI
ISSN
0370-2693
DOI
10.1016/j.physletb.2019.134935
Versión del editor
Colecciones
- MATHPHYS. Artículos [94]