English

Topological entanglement entropy to identify topological order in quantum skyrmions

Strongly Correlated Electrons 2023-11-08 v1 Mesoscale and Nanoscale Physics Quantum Physics

Abstract

We study the topological entanglement entropy and scalar chirality of a topologically ordered skyrmion formed in a two-dimensional triangular lattice. Scalar chirality remains a smooth function of the magnetic field in both helical and quantum skyrmion phases. In contrast, topological entanglement entropy remains almost constant in the quantum skyrmion phase, whereas it experiences enhanced fluctuations in the helical phase. Therefore, topological entanglement entropy is an effective tool to distinguish between the two phases and pinpoint the quantum phase transition in the system.

Keywords

Cite

@article{arxiv.2311.03915,
  title  = {Topological entanglement entropy to identify topological order in quantum skyrmions},
  author = {Vipin Vijayan and L. Chotorlishvili and A. Ernst and S. S. P. Parkin and M. I. Katsnelson and S. K. Mishra},
  journal= {arXiv preprint arXiv:2311.03915},
  year   = {2023}
}