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Edge channel mixing induced by potential steps in an integer quantum Hall system

Tue, 2011-02-22 18:46 - Daniel Rudolph
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Date: 
2010-08-11
Author(s): 

D. Venturelli, V. Giovannetti, F. Taddei, R. Fazio, D. Feinberg, G. Usaj, C. A. Balseiro

Reference: 

arXiv:1008.1913v1 [cond-mat.mes-hall]

URL: 

http://arxiv.org/abs/1008.1913v1

We investigate the coherent mixing of co-propagating edge channels in a quantum Hall bar produced by step potentials. In the case of two edge channels it is found that, although a single step induces only a few percent mixing, a series of steps could yield 50% mixing. In addition, a strong mixing is found when the potential height of a single step allows a different number of edge channels on the two sides of the step. Charge density probability has been also calculated even for the case where the step is smoothened.