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 ∂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.
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ArXiv ePrint: 1308.5635
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Asorey, M., Balachandran, A.P. & Pérez-Pardo, J.M. Edge states: topological insulators, superconductors and QCD chiral bags. J. High Energ. Phys. 2013, 73 (2013). https://doi.org/10.1007/JHEP12(2013)073
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DOI: https://doi.org/10.1007/JHEP12(2013)073