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- W2314013455 abstract "The current in mesoscopic structures fluctuates in time. Due to the coherent nature of the transport, these fluctuations provide information on the quantum physics of the underlying transport mechanism. It is also possible to measure nonlocal current-current correlations, the so-called crosscorrelations. Negative crosscorrelation originate from the Pauli exclusion principle, which leads to a noiseless stream of incoming particles at zero temperature. The electrons are scattered at a beam splitter one by one. Obviously an electron leaving in one lead can not leave in the other, therefore the time-dependent fluctuations in the two leads are anticorrelated. This is a consequence of the fermionic correlation of the incoming beam. A natural question arising is what happens if the incoming particles are correlated differently. This can be achieved by using a superconducting terminal, where particles are injected by Andreev reflection, i. e., as correlated electron-hole pairs. This can eventually lead to positive crosscorrelations, as was shown for different geometries. 5) In the following we address the correlations in beam splitters from the point of view of full counting statistics. In this approach one calculates not only the average current and the current noise, but the full distribution of electrons transfered in a certain time interval. For a general three terminal setup we denote the probability that N1 particle leave through terminal 1 and N2 through terminal 2 by P (N1, N2). Here we have used that the particle count in the third terminal is fixed by particle conservation and we have suppressed the dependence on the counting time t0. A quantity, that is directly accessible by a Green’s function method, is the cumulant generating function (CGF) S(χ1, χ2), defined by" @default.
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- W2314013455 date "2003-01-03" @default.
- W2314013455 modified "2023-10-14" @default.
- W2314013455 title "Counting Statistics of Superconducting Beam Splitters" @default.
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- W2314013455 doi "https://doi.org/10.1143/jpsjs.72sa.207" @default.
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