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Chiral magnetism: a geometric perspective

ORAL

Abstract

We recast the model of a chiral ferromagnet with the Dzyaloshinski-Moriya interaction as a Heisenberg model with nontrivial spin parallel transport. Within this theoretical framework, the Dzyaloshinskii-Moriya vectors take the role of a background SO(3) gauge field. A combination of analytical and numerical arguments suggests that the ground state of this gauged Heisenberg model in 2 spatial dimensions is a hexagonal skyrmion crystal in a wide range of applied magnetic fields.

Presenters

  • Daniel Hill

    University of California, Los Angeles, Johns Hopkins University

Authors

  • Daniel Hill

    University of California, Los Angeles, Johns Hopkins University

  • Oleg Tchernyshyov

    Johns Hopkins University, Institute for Quantum Matter and Department of Physics and Astronomy, Johns Hopkins University

  • Valeriy Slastikov

    University of Bristol