Phys. Rev. B 79, 174402 (2009) [5 pages]Hydrodynamic relation in a two-dimensional Heisenberg antiferromagnet in a field
The spin stiffness ρs of a two-dimensional (2D) Heisenberg antiferromagnet depends nonanalytically on external magnetic field. We demonstrate that the hydrodynamic relation between ρs, the uniform susceptibility χ, and the spin-wave velocity c is not violated by such a behavior because similar nonanalytic 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.79.174402
DOI:
10.1103/PhysRevB.79.174402
PACS:
75.10.Jm, 75.30.Ds, 78.70.Nx
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