Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published June 2008 | public
Journal Article

Fredholm Determinants and the Statistics of Charge Transport

Abstract

Using operator algebraic methods we show that the moment generating function of charge transport in a system with infinitely many non-interacting Fermions is given by a determinant of a certain operator in the one-particle Hilbert space. The formula is equivalent to a formula of Levitov and Lesovik in the finite dimensional case and may be viewed as its regularized form in general. Our result embodies two tenets often realized in mesoscopic physics, namely, that the transport properties are essentially independent of the length of the leads and of the depth of the Fermi sea.

Additional Information

© 2008 Springer. Received: 1 May 2007 Accepted: 20 August 2007 Published online: 13 March 2008. We would like to thank H. Araki, P. Deift, G. Dell'Antonio, G. Kottanattu, G. Lesovik and W. de Roeck for discussions. We also thank the Erwin Schrödinger Institute (Vienna) and the Lewiner Institute for Theoretical Physics at the Technion (Haifa) for hospitality.

Additional details

Created:
August 22, 2023
Modified:
October 19, 2023