Critical properties of 1D spin-gapped fermions at the onset of magnetization

T. Vekua ¹, S. I. Matveenko ^1, 2, G. V. Shlyapnikov ^1, 3

JETP Letters / Sov Phys JETP Lett 90 (2009) 289-294

We develop an effective field theory for finding critical properties of 1D spin gapped fermions at the onset of magnetization. It is shown how the spin-charge interaction leads to a linear critical behavior and finite susceptibility for a wide range of models. We also discuss possible manifestations of spin-charge coupling in cold atomic gases.

• 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
  CNRS : UMR8626 – Université Paris XI – Paris Sud
• 2. L.D. Landau Institute for Theoretical Physics,
  Landau Institute for Theoretical Physics
• 3. Van der Waals-Zeeman Institute,
  University of Amsterdam