Electron spin resonance signal of Luttinger liquids and single-wall carbon nanotubes.

A comprehensive theory of electron spin resonance (ESR) for a Luttinger liquid state of correlated metals is presented. The ESR measurables such as the signal intensity and the linewidth are calculated in the framework of Luttinger liquid theory with broken spin rotational symmetry as a function of magnetic field and temperature. We obtain a significant temperature dependent homogeneous line broadening which is related to the spin-symmetry breaking and the electron-electron interaction.

Spin gap and Luttinger liquid description of the NMR relaxation in carbon nanotubes.

Recent NMR experiments by Singer et al. [Singer, Phys. Rev.

Bosonization solution of the Falicov-Kimball model.

We use a novel approach to analyze the one-dimensional spinless Falicov-Kimball model. We derive a simple effective model for the occupation of the localized orbitals which clearly reveals the origin of the known ordering. Our study is extended to a quantum model with hybridization between the localized and itinerant states: We find a crossover between the well-known weak- and strong-coupling behaviors.