Edge States: Topological Insulators, Superconductors and QCD Chiral Bags
Abstract
The dynamics of the magnetic field in a superconducting phase is described by an effective massive bosonic field theory. If the superconductor is confined in a domain M with boundary \partial M, the boundary conditions of the electromagnetic fields are predetermined by physics. They are time-reversal and also parity invariant for adapted geometry. They lead to edge excitations while in comparison, the bulk energies have a large gap. A similar phenomenon occurs for topological insulators where appropriate boundary conditions for the Dirac Hamiltonian also lead to similar edge states and an 'incompressible bulk'. They give spin-momentum locking as well. In addition time-reversal and parity invariance emerge for adapted geometry. Similar edge states appear in QCD bag models with chiral boundary conditions.
Keywords
Cite
@article{arxiv.1308.5635,
title = {Edge States: Topological Insulators, Superconductors and QCD Chiral Bags},
author = {M. Asorey and A. P. Balachandran and J. M. Perez-Pardo},
journal= {arXiv preprint arXiv:1308.5635},
year = {2015}
}
Comments
29 pages, 7 figures