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Topological entanglement entropy to identify topological order in quantum skyrmions

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arxiv 2311.03915 v1 pith:T6NCYBM7 submitted 2023-11-07 cond-mat.str-el cond-mat.mes-hallquant-ph

Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra This is my paper
classification cond-mat.str-elcond-mat.mes-hallquant-ph
keywords topologicalentanglemententropyquantumphaseskyrmionchiralityhelical
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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.

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