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Hydrodynamic relation in a two-dimensional Heisenberg antiferromagnet in a field
- Source :
- Physical Review B. 79
- Publication Year :
- 2009
- Publisher :
- American Physical Society (APS), 2009.
-
Abstract
- The spin stiffness ${\ensuremath{\rho}}_{s}$ of a two-dimensional (2D) Heisenberg antiferromagnet depends nonanalytically on external magnetic field. We demonstrate that the hydrodynamic relation between ${\ensuremath{\rho}}_{s}$, the uniform susceptibility $\ensuremath{\chi}$, 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.
Details
- ISSN :
- 1550235X and 10980121
- Volume :
- 79
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi...........e8f2c8d258728d065e02cfa1891c1bcf