Curvature effects on magnetic susceptibility of 1D attractive two component fermions
T. Vekua*, S. I. Matveenko*+, G. V. Shlyapnikov*∇
*Laboratoire de Physique Théorique et Modèles Statistiques, CNRS, UniversitéParis Sud, 91405 Orsay, France
+L.D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia
∇Van der Waals-Zeeman Institute,University of Amsterdam, 1018 XE Amsterdam, The Netherlands
PACS: 03.75.Ss, 71.10.Pm
Abstract
We develop a bosonization approach for finding magnetic
susceptibility of 1D attractive two component Fermi gas at the onset of
magnetization taking into account the curvature effects. It is shown that the
curvature of free dispersion at the Fermi points couples the spin and charge
modes and leads to a linear critical behavior and finite susceptibility for a
wide range of models. Possible manifestations of spin-charge coupling in cold
atomic gases are also briefly discussed.