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Probing the topology of the quantum analog of a classical skyrmion

O. M. Sotnikov1, V. V. Mazurenko1,*, J. Colbois2, F. Mila2, M. I. Katsnelson3,1, and E. A. Stepanov4,1

  • 1Theoretical Physics and Applied Mathematics Department, Ural Federal University, Mira Street 19, 620002 Ekaterinburg, Russia
  • 2Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
  • 3Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525 AJ, Nijmegen, Netherlands
  • 4I. Institute of Theoretical Physics, University of Hamburg, Jungiusstrasse 9, D-20355 Hamburg, Germany

  • *vmazurenko2011@gmail.com

Phys. Rev. B 103, L060404 – Published 12 February, 2021

DOI: https://doi.org/10.1103/PhysRevB.103.L060404

Abstract

In magnetism, skyrmions correspond to classical three-dimensional spin textures characterized by a topological invariant that keeps track of the winding of the magnetization in real space, a property that cannot be easily generalized to the quantum case since the orientation of a quantum spin is, in general, ill defined. Moreover, as we show, the quantum skyrmion state cannot be directly observed in modern experiments that probe the local magnetization of the system. However, we show that this novel quantum state can still be identified and fully characterized by a special local three-spin correlation function defined on neighboring lattice sites—the scalar chirality—which reduces to the classical topological invariant for large systems and which is shown to be nearly constant in the quantum skyrmion phase.

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