Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry

Details Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry

2002-07-11

arxiv.org/abs/cond-mat/0207294v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages,4 figures

Scientific paper

10.1103/PhysRevB.68.205110

We propose a formalism which uses boundary conditions imposed on the Luttinger liquid (LL) to describe the transport properties of a LL coupled to reservoirs. The various boundary conditions completely determine linear transport in the joint system reservoirs+LL. As an illustration we consider an exactly solvable microscopic model in a multi-terminal geometry for which such boundary conditions can be explicitly derived; in this model the Landauer-B\"uttiker formalism fails: if it were valid, the relation between the conductance matrix elements and the reflection and transmission coefficients could yield negative probabilities. We then apply our formalism to a discussion of shot noise through an impurity in a LL connected to two reservoirs.

Affiliated with

Also associated with

No associations

Rating

Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tomonaga-Luttinger liquid with reservoirs in a multi-terminal geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185175