Hydrodynamic relation in a two-dimensional Heisenberg antiferromagnet in a field

2009/02/25 by A. L. Chernyshev, M. E. Zhitomirsky · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.79.174402

published as Phys. Rev. B 79, 174402 (2009); another winner of the PRB beauty contest. · 5*(1-ε) pages, 5 figures

arxiv created 2009/02/25 · openalex publication_date 2009/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The spin stiffness \ensuremathρ_s of a two-dimensional (2D) Heisenberg antiferromagnet depends nonanalytically on external magnetic field. We demonstrate that the hydrodynamic relation between \ensuremathρ_s, the uniform susceptibility \ensuremathχ, 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.

Citations

• Instability of Antiferromagnetic Magnons in Strong Fields

Cited by

• Tunable rotons in square-lattice antiferromagnets under strong magnetic fields
• Antiferromagnetic films in weak magnetic and staggered fields

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