Luttinger Liquid in a Solvable 2-Dimensional Model

Details Luttinger Liquid in a Solvable 2-Dimensional Model Luttinger Liquid in a Solvable 2-Dimensional Model

1993-12-21

arxiv.org/abs/cond-mat/9312083v1

Physics

Condensed Matter

13 pages, 1 figure upon request, REVTEX, ETH-TH/93-50

Scientific paper

10.1103/PhysRevB.50.8252

We consider spinless electrons in two dimensions with the bare spectrum $\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among electrons have a finite range $q_0$, which is small compared to the Fermi momentum. A golden rule calculation of the electron lifetime indicates a breakdown of the Landau Fermi liquid in the model. At the one-loop level of perturbation theory, we show that the density wave and the superconducting instabilities cancel each other and there is no symmetry breaking. We solve the model via bosonization; the excitation spectrum is found to consist of gapless bosonic modes as in a one-dimensional Luttinger liquid.

Affiliated with

Also associated with

No associations

Rating

Luttinger Liquid in a Solvable 2-Dimensional Model 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 Luttinger Liquid in a Solvable 2-Dimensional Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Luttinger Liquid in a Solvable 2-Dimensional Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207278