Asymmetric dispersion relation in spin-spiral structures

作者:Michael Thomas*; Trimper Steffen
来源:Physical Review B, 2010, 82(5): 052401.
DOI:10.1103/PhysRevB.82.052401

摘要

The asymmetric spin-wave dispersion relation observed recently [Zakeri et al., Phys. Rev. Lett. 104, 137203 (2010)], is explained within a quantum model consisting of an anisotropic Heisenberg coupling and the Dzyaloshinski-Moriya interaction (DMI). Applying a transformation of the spin operators into a representation without fixed quantization axis, a Green's function technique for finite temperatures allows to obtain the spin-wave dispersion for various magnetic spiral structures including cycloidal and conical ones. In case of vanishing anisotropy, the DMI drives an incommensurate antiferromagnetic alignment forming a cycloidal spin spiral. The spin-wave dispersion is symmetric. For nonzero anisotropy, the spins are aligned in a transverse conical spiral and the dispersion becomes asymmetric in agreement with the experimental observation. The asymmetry is reduced with increasing temperature.

  • 出版日期2010-8-11