Interacting electrons with spin in a one-dimensional wire connected to leads

Details Interacting electrons with spin in a one-dimensional wire connected to leads Interacting electrons with spin in a one-dimensional wire connected to leads

1998-03-26

arxiv.org/abs/cond-mat/9803326v1

Physics

Condensed Matter

Strongly Correlated Electrons

24 two-column revtex pages, five postscript figures. This paper is an extended version of cond-mat/9612173

Scientific paper

10.1103/PhysRevB.59.3040

We investigate a one--dimensional wire of interacting electrons connected to one--dimensional noninteracting leads in the absence and in the presence of a backscattering potential. The ballistic wire separates the charge and spin parts of an incident electron even in the noninteracting leads. The Fourier transform of nonlocal correlation functions are computed for $T\gg \omega$. In particular, this allows us to study the proximity effect, related to the Andreev reflection. A new type of proximity effect emerges when the wire has normally a tendency towards Wigner crystal formation. The latter is suppressed by the leads below a space--dependent crossover temperature; it gets dominated everywhere by the $2k_F$ CDW at $T1/3$, the ratio $Var(R)/R^2$ stays always of the same order: it is equal to $L_T/L\ll 1$ in the high temperature limit, then saturates at 1/2 in the low temperature limit, indicating that the relative fluctuations of $R$ increase as one lowers the temperature.

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