04.25.+l Entanglement in solid state systems, Luttinger liquids, etc.

Full counting statistics of Luttinger liquid conductor

Date: 
2010-12-13
Author(s): 

D. Gutman, Y. Gefen, and A. Mirlin

Reference: 

Phys. Rev. Lett. 105, 256802 (2010)

Nonequilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the time resolved full counting statistics of the transmitted charge is derived. It is given by the Fredholm determinant of the counting operator with a time-dependent scattering phase. The result has a form of counting statistics of noninteracting particles with fractional charges, induced by scattering off the boundaries between the LL wire and the noninteracting leads.

Bosonization of one dimensional fermions out of equilibrium

Date: 
2010-02-24
Author(s): 

D. Gutman, Y. Gefen, and A. Mirlin

Reference: 

Phys. Rev. B 81, 085436 (2010)

Bosonization technique for one-dimensional fermions out of equilibrium is developed in the framework of the Keldysh action formalism. We first demonstrate how this approach is implemented for free fermions and for the problem of nonequilibrium Fermi edge singularity. We then employ the technique to study an interacting quantum wire attached to two electrodes with arbitrary energy distributions.

Syndicate content