Renormalization group study of Luttinger liquids with boundaries

Abstract

We use Wilsons weak coupling ``momentum'' shell renormalization group method to show that two-particle interaction terms commonly neglected in bosonization of one-dimensional correlated electron systems with open boundaries are indeed irrelevant in the renormalization group sense. Our study provides a more solid ground for many investigations of Luttinger liquids with open boundaries.

version as published

References in corpus (4)

• Bosonization for Beginners --- Refermionization for Experts
• Luttinger liquids with boundaries: Power-laws and energy scales
• Bounded Luttinger liquids as a universality class of quantum critical behavior
• Local density of states of 1D Mott insulators and CDW states with a boundary

Cited by in corpus (5)

• Luttinger liquid properties of the steady state after a quantum quench
• Energy correlations of non-integrable Ising models: The scaling limit in the cylinder
• Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales
• Small quenches and thermalization
• Exceptional Luttinger Liquids from sublattice dependent interaction