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

Ian Affleck

doi:10.1103/PhysRevB.72.132414

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

Strongly Correlated Electrons 2009-11-11 v1

Authors: Ian Affleck

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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.

Keywords

spin-1 Heisenberg chain magnetic field Luttinger liquid correlation exponent non-linear sigma model

Cite

@article{arxiv.cond-mat/0508354,
  title  = {Luttinger liquid parameter for the spin-1 Heisenberg chain in a magnetic field},
  author = {Ian Affleck},
  journal= {arXiv preprint arXiv:cond-mat/0508354},
  year   = {2009}
}

Comments

3 pages, 1 figure

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