Enhanced Local Moment Formation in a Chiral Luttinger Liquid

Abstract

We derive here a stability condition for a local moment in the presence of an interacting sea of conduction electrons. The conduction electrons are modeled as a Luttinger liquid in which chirality and spin are coupled. We show that an Anderson-U defect in such an interacting system can be transformed onto a nearly-Fermi liquid problem. We find that correlations among the conduction electrons stabilize the local moment phase. A Schrieffer-Wolff transformation is then performed which results in an anisotropic exchange interaction indicative of the Kondo effect in a Luttinger liquid. The ground-state properties of this model are then equivalent to those of the Kondo model in a Luttinger liquid.

11 pages, no figures

References in corpus (2)

• Interaction of a Magnetic Impurity with Strongly Correlated Conduction Electrons
• Effects of Next-Nearest-Neighbor Hopping on the Hole Motion in an Antiferromagnetic Background

Cited by in corpus (8)

• Localized Magnetic States in Graphene
• Scaling and criticality of the Kondo effect in a Luttinger liquid
• Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
• Anderson impurity in a correlated conduction band
• Renormalization-group study of a magnetic impurity in a Luttinger liquid
• Magnetic Impurity in a Metal with Correlated Conduction Electrons: An Infinite Dimensions Approach
• Kondo Effect in a Metal with Correlated Conduction Electrons: Diagrammatic Approach
• Dilute magnetic moments in an exactly solvable interacting host