An Approximate Sign Sum Rule for the Transmission Amplitude Through a Quantum Dot

Preprint

14 July 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9907205

Abstract

We study the phase of the transmission amplitude through a disordered quantum dot in the Coulomb blockade regime. We calculate the phase dependence on gate voltage for a disorder configuration. We show that over a ``period'', consisting of a resonance and a transmission valley, the total phase change is 0 (mod $2\pi$). Deviations from this sum rule are small in the parameter (level spacing/charging energy). The disorder-averaged phase-phase correlation function is found showing interaction-induced correlations between phases at different gate voltages.

Keywords

TRANSMISSION AMPLITUDE
PHASES AT DIFFERENT
APPROXIMATE SIGN
GATE VOLTAGES
QUANTUM DOT
SIGN SUM
SUM RULE
COULOMB

All Related Versions

Version 1, 1999-07-14, ArXiv
Published version: Physical Review Letters, 83 (24), 5094.

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