Low frequency admittance of a quantum point contact

Details Low frequency admittance of a quantum point contact Low frequency admittance of a quantum point contact

1996-01-18

arxiv.org/abs/cond-mat/9601074v1

Phys. Rev. Lett. 77, 143 (1996)

Physics

Condensed Matter

11 pages, revtex file, 2 ps figures

Scientific paper

10.1103/PhysRevLett.77.143

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 {\em 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 step-like manner in synchronism with the conductance steps. For vanishing reflection, the capacitance vanishes and the emittance is negative.

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