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Geometric phase for a dimerized disordered continuum: Topological shot noise

Pradhan, P and Kumar, N (1998) Geometric phase for a dimerized disordered continuum: Topological shot noise. In: Europhysics Letter, 44 (01). pp. 131-136.

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Official URL: http://www.iop.org/EJ/abstract/0295-5075/44/2/131

Abstract

Geometric phase shift associated with an electron propagating through a dimerized disordered continuum is shown to be 0, or +/-pi (modulo 2 pi), according to whether the associated circuit traversed in the two-dimensional parameter space excludes, or encircles a certain singularity. This phase shift is a topological invariant. Its discontinuous dependence on the electron energy and disorder implies a statistical spectral and conductance fluctuation in a corresponding mesoscopic system. Inasmuch as the fluctuation derives from the discreteness of the phase shift, it may aptly be called a topological shot noise.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to EDP Sciences.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 Jul 2009 04:21
Last Modified: 19 Sep 2010 05:24
URI: http://eprints.iisc.ernet.in/id/eprint/18671

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