Dynamic Conductance in Quantum Hall Systems

M. Buttiker; T. Christen

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arXiv · cond-mat/9607051

Dynamic Conductance in Quantum Hall Systems

M. Buttiker·T. Christen

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Abstract

In the framework of the edge-channel picture and the scattering approach to conduction, we discuss the low frequency admittance of quantized Hall samples up to second order in frequency. The first-order term gives the leading order phase-shift between current and voltage and is associated with the displacement current. It is determined by the emittance which is a capacitance in a capacitive arrangement of edge channels but which is inductive-like if edge channels predominate which transmit charge between different reservoirs. The second-order term is associated with the charge relaxation. We apply our results to a Corbino disc and to two- and four-terminal quantum Hall bars, and we discuss the symmetry properties of the current response. In particular, we calculate the longitudinal resistance and the Hall resistance as a function of frequency.

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M. Buttiker, T. Christen. 1996-07-08. Dynamic Conductance in Quantum Hall Systems. https://arxiv.org/abs/cond-mat/9607051

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