Hydrodynamic relation in 2D Heisenberg antiferromagnet in a field
Strongly Correlated Electrons
2009-05-02 v1
Abstract
The spin-stiffness \rho_s of a 2D Heisenberg antiferromagnet depends non-analytically on external magnetic field. We demonstrate that the hydrodynamic relation between \rho_s, the uniform susceptibility \chi, and the spin-wave velocity is not violated by such a behavior because similar non-analytic terms from all three quantities mutually cancel out. In this work, explicit expressions for the field-dependent spin stiffness and for the magnon velocity of the 2D square lattice antiferromagnet are obtained by direct calculation to order 1/S and in the whole range of magnetic fields.
Cite
@article{arxiv.0902.4455,
title = {Hydrodynamic relation in 2D Heisenberg antiferromagnet in a field},
author = {A. L. Chernyshev and M. E. Zhitomirsky},
journal= {arXiv preprint arXiv:0902.4455},
year = {2009}
}
Comments
5*(1-\epsilon) pages, 5 figures