Low Frequency Admittance of a Quantum Point Contact

T. Christen and M. Büttiker
Phys. Rev. Lett. 77, 143 – Published 1 July 1996
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Abstract

We present a current and charge conserving theory for the low frequency admittance of a quantum point contact. We derive expressions for the electrochemical capacitance and the displacement current. The latter is determined by the emittance which equals the capacitance only in the limit of vanishing transmission. With the opening of channels the capacitance and the emittance decrease in a steplike manner in synchronism with the conductance steps. For vanishing reflection, the capacitance vanishes and the emittance is negative.

  • Received 17 January 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.143

©1996 American Physical Society

Authors & Affiliations

T. Christen and M. Büttiker

  • Département de Physique Théorique, Université de Genève, 24 Quai Ernest-Ansermet, CH-1211 Genève, Switzerland

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Vol. 77, Iss. 1 — 1 July 1996

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