Luttinger liquid coupled to quantum spins: Flow equation approach to the Kondo necklace model

F. H. L. Essler, T. Kuzmenko, and I. A. Zaliznyak
Phys. Rev. B 76, 115108 – Published 11 September 2007

Abstract

We study a lattice realization of a Luttinger liquid interacting with quantum spins in terms of an antiferromagnetic S=12 Heisenberg chain, where each spin is also coupled to a σ=12 Kondo spin degree of freedom. This model describes the low-energy spin dynamics in quasi-one-dimensional materials, where the electronic spins of the magnetic ions interact with those of impurities, nuclei, and possibly other spin species present in their environment. For large ferromagnetic and antiferromagnetic Kondo interaction J, there are two phases corresponding to an effective spin-1 Heisenberg chain and a dimerized spin-12 ladder, respectively. For weak Kondo interaction, we establish that the Kondo interaction drives the system to a strong coupling regime. This suggests that J=0 is the only critical point in the system.

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  • Received 24 April 2007

DOI:https://doi.org/10.1103/PhysRevB.76.115108

©2007 American Physical Society

Authors & Affiliations

F. H. L. Essler and T. Kuzmenko

  • The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom

I. A. Zaliznyak

  • CMPMSD, Brookhaven National Laboratory, Upton, New York 11973-5000, USA

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Vol. 76, Iss. 11 — 15 September 2007

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