Chiral Liquids in 1-d: A New Class of NFL-Fixed Points

TL;DR

This paper introduces a new class of non-Fermi liquid fixed points in one-dimensional chiral fermion systems, characterized by universal exponents and analyzed using conformal and Bethe-Ansatz methods, with applications to quantum Hall edge states.

Contribution

It identifies a novel NFL fixed point class in 1D chiral fermions and characterizes their universal properties using advanced analytical techniques.

Findings

Universal exponents for thermodynamics and correlations

Breakdown mechanism of Fermi-liquid theory in T-invariant systems

Frequency dependence of spin conductance in quantum Hall edge states

Abstract

We identify a non Fermi Liquid (NFL) class of fixed points describing the infrared behaviour of interacting chiral fermions in one dimension. The thermodynamic properties and asymptotic correlation functions are characterized by universal exponents, which we determine by means of conformal and Bethe-Ansatz techniques. The mechanism leading to the breakdown of Fermi-Liquid theory is quite general and can be expected to be realized in systems with broken T-invariance. As an example we study the edge states of interacting QHE systems. We calculate the universal frequency dependence of the spin conductance in these systems as well as the NMR response.