English

Is the Luttinger liquid a new state of matter?

Strongly Correlated Electrons 2010-01-11 v2 Statistical Mechanics

Abstract

We are demonstrating that the Luttinger model with short range interaction can be treated as a type of Fermi liquid. In line with the main dogma of Landau's theory one can define a fermion excitation renormalized by interaction and show that in terms of these fermions any excited state of the system is described by free particles. The fermions are a mixture of renormalized right and left electrons. The electric charge and chirality of the Landau quasi-particle is discussed.

Keywords

Cite

@article{arxiv.0811.4498,
  title  = {Is the Luttinger liquid a new state of matter?},
  author = {V. V. Afonin and V. Yu. Petrov},
  journal= {arXiv preprint arXiv:0811.4498},
  year   = {2010}
}

Comments

paper 10 pages. This version of the paper will be published in Foundations of Physics