The exterior and interior edge states of magnetic billiards: spectral statistics and correlations

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Published under licence by IOP Publishing Ltd
, , Citation Klaus Hornberger and Uzy Smilansky 2001 Phys. Scr. 2001 64 DOI 10.1238/Physica.Topical.090a00064

1402-4896/2001/T90/64

Abstract

We study the properties of quantum states in the interior and the exterior of magnetic billiards. A weight is associated to each state, providing an objective criterion to distinguish between bulk and edge states. We define a spectral density of edge states, which is then studied statistically and semiclassically. In particular, we observe strong cross-correlations between the interior and exterior edge spectra. They are identified as the quantum signature of a classical duality of periodic orbits.

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10.1238/Physica.Topical.090a00064