Cooper pairs and exclusion statistics from coupled free-fermion chains

Details Cooper pairs and exclusion statistics from coupled free-fermion chains Cooper pairs and exclusion statistics from coupled free-fermion chains

2006-12-11

arxiv.org/abs/cond-mat/0612270v2

J.Stat.Mech.0702:P02017,2007

Physics

Condensed Matter

Statistical Mechanics

16 pages. v2: includes explicit expression for super-Yangian generator

Scientific paper

10.1088/1742-5468/2007/02/P02017

We show how to couple two free-fermion chains so that the excitations consist of Cooper pairs with zero energy, and free particles obeying (mutual) exclusion statistics. This behavior is reminiscent of anyonic superconductivity, and of a ferromagnetic version of the Haldane-Shastry spin chain, although here the interactions are local. We solve this model using the nested Bethe ansatz, and find all the eigenstates; the Cooper pairs correspond to exact-string or ``0/0'' solutions of the Bethe equations. We show how the model possesses an infinite-dimensional symmetry algebra, which is a supersymmetric version of the Yangian symmetry algebra for the Haldane-Shastry model.

Affiliated with

Also associated with

No associations

Rating

Cooper pairs and exclusion statistics from coupled free-fermion chains 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 Cooper pairs and exclusion statistics from coupled free-fermion chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cooper pairs and exclusion statistics from coupled free-fermion chains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-117376