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Phys. Rev. Lett. 83, 5094–5097 (1999)

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

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Reinhard Baltin1 and Yuval Gefen2
1Max Planck Institut für Kernphysik, Postfach 103980, 69029 Heidelberg, Germany
2Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

Received 4 August 1999; published in the issue dated 13 December 1999

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 2π). Deviations from this sum rule are small in the parameter (level spacing and/or charging energy). The disorder-averaged phase-phase correlation function is found showing interaction-induced correlations between phases at different gate voltages.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.5094
DOI:
10.1103/PhysRevLett.83.5094
PACS:
73.23.Hk, 73.20.Dx, 73.50.Bk