F. G\"ohmann, V.E. Korepin
Universal correlations of one-dimensional interacting electrons in the
gas phase
(24K, Latex)
ABSTRACT. We consider dynamical correlation functions of short range interacting
electrons in one dimension at finite temperature. Below a critical
value of the chemical potential there is no Fermi surface anymore, and
the system can no longer be described as a Luttinger liquid. Its low
temperature thermodynamics is that of an ideal gas. We identify the
impenetrable electron gas model as a universal model for the gas phase
and present exact and explicit expressions for the asymptotics of
correlation functions at small temperatures, in the presence of a
magnetic field.