Is the Luttinger liquid a new state of matter?
arXiv:0811.4498 · doi:10.1007/s10701-009-9385-7
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.
paper 10 pages. This version of the paper will be published in Foundations of Physics