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Quantum Magnetic Skyrmion Operator.

Andreas Haller1, Sebastián A Díaz2, Wolfgang Belzig2

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Summary
This summary is machine-generated.

We introduce a new operator to model quantum skyrmions as bosonic quasiparticles. This approach captures their magnetic order and quantum fluctuations, enabling a field theory for many-skyrmion quantum phases.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Spintronics

Background:

  • Quantum skyrmions are topological quasiparticles with potential applications in data storage and computing.
  • Understanding their quantum behavior and interactions is crucial for harnessing their properties.
  • Existing models often struggle to incorporate microscopic quantum fluctuations.

Purpose of the Study:

  • To develop a variational wave function for representing quantum skyrmions as bosonic operators.
  • To accurately capture both the classical magnetic order and quantum excitations of skyrmions.
  • To establish a foundation for a field theory of many-skyrmion quantum phases.

Main Methods:

  • Proposed a variational wave function operator for quantum skyrmions.
  • Employed exact numerical simulations for ground state analysis of a 2D chiral magnetic model.
  • Utilized matrix product state simulations for adiabatic braiding of two skyrmions.

Main Results:

  • The proposed operator successfully reproduces classical magnetic order and quantum spin-flip excitations.
  • Identified two distinct regions in the single-skyrmion state diagram based on quantum corrections.
  • Verified the operator's validity for large inter-skyrmion distances via braiding simulations.

Conclusions:

  • Quantum skyrmions can be effectively coarse-grained into bosonic quasiparticles.
  • The developed operator representation facilitates the study of many-skyrmion quantum phases.
  • This approach offers a novel way to include microscopic quantum fluctuations in skyrmion theories.