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Low Frequency Admittance Measurements in the Quantum Hall Regime

Published online by Cambridge University Press:  19 November 2013

Carlos Hernández  and
Christophe Chaubet
Carlos Hernández
Affiliation:
Departamento de Física, Universidad de los Andes, A.A. 4976, Bogotá D.C., Colombia.
Christophe Chaubet
Affiliation:
Laboratoire Charles Coulomb L2C, Université Montpellier II, Pl. E. Bataillon, 34095 Montpellier Cedex 5, France.
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Abstract

In this paper we present an ac-magneto-transport study of a two-dimensional electron gas (2DEG) in the quantum Hall effect (QHE) regime, for frequencies in the range [100Hz, 1MHz]. We present an approach to understand admittance measurements based in the Landauer-Buttiker formalism for QHE edge channels and taking into account the capacitance and the topology of the cables connected to the contacts used in the measurements. Our model predicts an universal behavior with the a-dimensional parameter RHCω where RH is the 2 wires resistance of the 2DEG, C the capacitance cables and the angular frequency, in agreement with experiments. For a specific configuration, we measure the electrochemical capacitance of the quantum Hall edge channels as predicted by Christen and Büttiker.

Keywords

AdmittanceQuantum Hall effectfrequency-dependence
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1617: Symposium 7E – Low-Dimensional Semiconductor Structures , 2013 , pp. 211 - 216
Copyright
Copyright © Materials Research Society 2013 

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References

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