How vortex bound states affect the Hall conductivity of a chiral \(p\pm i p\) superconductor

The physics of a planar chiral \(p\pm i p\) superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands induced by inter-vortex tunneling. A general method to dia...

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Bibliographic Details
Published in:arXiv.org 2018-09
Main Authors: Ariad, Daniel, Yshai Avishai, Grosfeld, Eytan
Format: Article
Language:English
Subjects:
Geometry
Nucleation
Vortices
Online Access:Get full text
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Summary:The physics of a planar chiral \(p\pm i p\) superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands induced by inter-vortex tunneling. A general method to diagonalize the Hamiltonian of a superconductor in the presence of a vortex lattice is developed, that employs only smooth gauge transformations. It renders the Hamiltonian to be periodic (thus allowing the use of a Bloch theorem) and enables the treatment of systems with vortices of finite radii. The pertinent anomalous charge response \(c_{xy}\) is calculated (using the Streda formula), and reveals that it contains a quantized contribution. This is attributed to the response to the nucleation of vortices, from which we deduce the system's quantum phase.
ISSN:2331-8422
DOI:10.48550/arxiv.1603.00840