Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension

Details Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension

1999-03-11

arxiv.org/abs/cond-mat/9903197v2

Phys. Rev. B62, 1688 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 12 figs. Long version of cond-mat/9812441

Scientific paper

10.1103/PhysRevB.62.1688

We have developed a new boot-strap method for solving a class of interacting one-dimensional chiral fermions. The conventional model for interacting right-moving electrons with spin has an SO(4) symmetry, and can be written as four interacting Majorana fermions, each with the same velocity. We have found a method for solving some cases when the velocities of these Majorana fermions are no longer equal. We demonstrate in some detail the remarkable result that corrections to the non skeleton self-energy identically vanish for these models, and this enables us to solve them exactly. For the cases where the model can be solved by bosonization, our method can be explicitly checked. However, we are also able to solve some new cases where the excitation spectrum differs qualitatively from a Luttinger liquid. Of particular interest, is the so-called SO(3) model, where a triplet of Majorana fermions moving at one velocity, interact with a single Majorana fermion moving at another velocity. We show using our method, that a sharp bound (or anti-bound) state splits off from the original Luttinger liquid continuum, cutting off the X-ray singularity to form a broad incoherent excitation with a lifetime that grows linearly with frequency.

Affiliated with

Also associated with

No associations

Rating

Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension 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 Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound-State Instability of the Chiral Luttinger Liquid in One-Dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-667325