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Phase Coherence Effects in Antidot Lattices: A Semiclassical Approach to Bulk Conductivity

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Richter, Klaus
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Date of publication of this fulltext: 05 Aug 2009 13:29


We derive semiclassical expressions for the Kubo conductivity tensor. Within our approach the oscillatory parts of the diagonal and Hall conductivity are given as sums over contributions from classical periodic orbits in close relation to Gutzwiller's trace formula for the density of states. Taking into account the effects of weak disorder and temperature, we reproduce recently observed anomalous phase coherence oscillations in the conductivity of large antidot arrays.

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