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Fermionic edge states and new physics

Govindarajan, TR and Tibrewala, Rakesh (2015) Fermionic edge states and new physics. In: PHYSICAL REVIEW D, 92 (4).

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Official URL: http://dx.doi.org/10.1103/PhysRevD.92.045040


We investigate the properties of the Dirac operator on manifolds with boundaries in the presence of the Atiyah-Patodi-Singer boundary condition. An exact counting of the number of edge states for boundaries with isometry of a sphere is given. We show that the problem with the above boundary condition can be mapped to one where the manifold is extended beyond the boundary and the boundary condition is replaced by a delta function potential of suitable strength. We also briefly highlight how the problem of the self-adjointness of the operators in the presence of moving boundaries can be simplified by suitable transformations which render the boundary fixed and modify the Hamiltonian and the boundary condition to reflect the effect of moving boundary.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 24 Sep 2015 07:12
Last Modified: 24 Sep 2015 07:12
URI: http://eprints.iisc.ac.in/id/eprint/52443

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