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Phys. Rev. B 58, R10135–R10138 (1998)

Scattering approach to parametric pumping

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P. W. Brouwer
Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

Received 18 June 1998; published in the issue dated 15 October 1998

A dc current can be pumped through a quantum dot by periodically varying two independent parameters X1 and X2, like a gate voltage or magnetic field. We present a formula that relates the pumped current to the parametric derivatives of the scattering matrix S(X1,X2) of the system. As an application we compute the statistical distribution of the pumped current in the case of a chaotic quantum dot.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.58.R10135
DOI:
10.1103/PhysRevB.58.R10135
PACS:
72.10.Bg, 05.45.+b, 73.23.-b