Kohn-Luttinger effect in nested fermion liquids

The Kohn-Luttinger Effect in Gauge Theories

Kohn and Luttinger showed that a many body system of fermions interacting via short range forces becomes superfluid even if the interaction is repulsive in all partial waves. In gauge theories such as QCD the interaction between fermions is long range and the assumptions of Kohn and Luttinger are not satisfied. We show that in a U(1) gauge theory the Kohn-Luttinger phenomenon does not take plac...

Transport in Luttinger Liquids

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some important results on tunneling through barriers in a one-dimensional quantum wire and the phenomena of persistent currents in mesoscopic rings. We give a brief desc...

Fermi Liquids and Luttinger Liquids

Fractons and Luttinger liquids

We consider the concept of fractons as particles or quasiparticles which obey a specific fractal statistics in connection with a one-dimensional Luttinger liquid theory. We obtain a dual statistics parameter ν̃ = ν+1 which is identified with the controlling parameter e−2φ of the Luttinger model. In this way, a bosonic system characterized by a fractal index if [h] = if [2] = 1 is considered as a...

Ferromagnetic Luttinger liquids

We study weak itinerant ferromagnetism in one-dimensional Fermi systems using perturbation theory and bosonization. We find that longitudinal spin fluctuations propagate ballistically with velocity vm!vF , where vF is the Fermi velocity. This leads to a large anomalous dimension in the spin channel and strong algebraic singularities in the single-particle spectral function and in the transverse...