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Haldane-gapped spin chains as Luttinger liquids: Correlation functions at finite field

2001/06/30 by Robert M. Konik, Robert Konik, Paul Fendley · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.66.144416

published as Phys. Rev. B 66 (2002) 144416 · 32 pages, 8 figures; published version includes additions discussing the robustness of the magnetically induced gapless phase to ordering between chains as well as the relationship between the spin-1 chains and spin-1/2 ladders in the presence of a magnetic field

openalex publication_date 2002/10/29 · arxiv created 2003/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the behavior of Heisenberg, antiferromagnetic, integer-spin chains in the presence of a magnetic field exceeding the attendant spin gap. For temperatures much smaller than the gap, the spin chains exhibit Luttinger liquid behavior. We compute exactly both the corresponding Luttinger parameter and the Fermi velocity as a function of magnetic field. This enables the computation of a number of correlators from which we derive the spin conductance, the expected form of the dynamic structure factor relevant to inelastic neutron-scattering experiments, and NMR relaxation rates. We also comment upon the robustness of the magnetically induced gapless phase both to finite temperature and finite couplings between neighboring chains.

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