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(m2), where m is the magnetization per site. A comparison with the O(3) non-linear sigma-model is also made.
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