Exact solution of a 2D interacting fermion model

Details Exact solution of a 2D interacting fermion model Exact solution of a 2D interacting fermion model

2010-11-05

arxiv.org/abs/1011.1401v2

Physics

Mathematical Physics

59 pages, 3 figures, v2: further references added; additional subsections elaborating mathematical details; additional appendi

Scientific paper

We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a square lattice with local hopping and density-density interactions if, close to half filling, the system develops a partial energy gap. The necessary regularization of the QFT model is based on this proposed relation to lattice fermions. We use bosonization methods to diagonalize the Hamiltonian and to compute all correlation functions. We also discuss how, after appropriate multiplicative renormalizations, all short- and long distance cutoffs can be removed. In particular, we prove that the renormalized two-point functions have algebraic decay with non-trivial exponents depending on the interaction strengths, which is a hallmark of Luttinger-liquid behavior.

Affiliated with

Also associated with

No associations

Rating

Exact solution of a 2D interacting fermion 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 Exact solution of a 2D interacting fermion model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solution of a 2D interacting fermion model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454803