Luttinger liquid parameter for the spin-1 Heisenberg chain in a magnetic field

Abstract

A recently derived general formula and older numerical results are combined to deduce the behavior of the transverse correlation exponent for the spin-1 Heisenberg antiferromagnetic chain in an applied magnetic field: eta = 1/2 - (2.0)m +O(m^2), where m is the magnetization per site. A comparison with the O(3) non-linear sigma-model is also made.

3 pages, 1 figure

References in corpus (2)

• Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors
• Luttinger liquid behavior in spin chains with a magnetic field

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• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy
• The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field
• Electrical and thermal transport in the quasi-atomic limit of coupled Luttinger liquids