Geometric phase for a dimerized disordered continuum: Topological shot noise

Details Geometric phase for a dimerized disordered continuum: Topological shot noise Geometric phase for a dimerized disordered continuum: Topological shot noise

1997-12-15

arxiv.org/abs/cond-mat/9712175v2

Europhys. Lett. 44, 131 (1998)

Physics

Condensed Matter

10 pages(LATEX) + 1 figure, (revised version). Will appear in Europhys. Lett

Scientific paper

10.1209/epl/i1998-00446-x

Geometric phase shift associated with an electron propagating through a dimerized-disordered continuum is shown to be 0, or $\pm \pi$ (modulo 2$\pi$), according as 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.

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