Spin-anisotropic electron-electron interactions in one-dimensional metals

Abstract
We construct a theoretical model for one-dimensional conductors taking into account the effects of spin-orbit coupling and electron-electron dipole interaction. New types of electron-electron interactions which do not conserve the z component of spin are generated. Use of bosonization and renormalization allows us to obtain correlation functions and the phase diagram. The main result is the appearance of a gap in the spin-excitation spectrum in the whole phase diagram, which leads to anisotropic spin-density-wave and superconducting phases. We discuss possible experimental implications of our results.