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Fredholm determinants and the statistics of charge transport | | Joseph E. Avron
; Sven Bachmann
; Gian Michele Graf
; Israel Klich
; | | Date: |
1 May 2007 | | Subject: | Mathematical Physics (math-ph) | | 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 in the finite
dimensional case and may be viewed as its regularized form in general. Our
result embodies two fundamental principles 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. | | Source: | arXiv, arxiv.0705.0099 | | Services: | Forum | Review | PDF | Favorites | |
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