Hydrodynamic relation in 2D Heisenberg antiferromagnet in a field

Details Hydrodynamic relation in 2D Heisenberg antiferromagnet in a field Hydrodynamic relation in 2D Heisenberg antiferromagnet in a field

2009-02-25

arxiv.org/abs/0902.4455v1

Phys. Rev. B 79, 174402 (2009); another winner of the PRB beauty contest.

Physics

Condensed Matter

Strongly Correlated Electrons

5*(1-\epsilon) pages, 5 figures

Scientific paper

10.1103/PhysRevB.79.174402

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 $c$ 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.

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