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Influence of Dzyaloshinskii-Moriya interaction and external fields on quantum entanglement in half-integer spin one-dimensional antiferromagnets

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Abstract

The effect of uniform Dzyaloshinskii-Moriya interaction (antisymmetric spin coupling) and arbitrary oriented external magnetic fields in the x̂ and ẑ directions hx, hy, on quantum entanglement is investigated in the quantum spin-1/2 one-dimensional Heisenberg antiferromagnetic model. The Von Neumann entropy of quantum entanglement is calculated employing Abelian bosonization and density matrix renormalization group. We investigate the influence of quantum phase transition of three competing phases (Néel phase, dimerized phase and gapless Luttinger liquid phase) on quantum entanglement at zero-temperature.

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  1. Departamento de Física, Centro Federal de Educação Tecnológica de Minas Gerais, 30510-000, Belo Horizonte, MG, Brazil

    Leonardo S. Lima

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  1. Leonardo S. Lima
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Correspondence to Leonardo S. Lima.

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Lima, L.S. Influence of Dzyaloshinskii-Moriya interaction and external fields on quantum entanglement in half-integer spin one-dimensional antiferromagnets. Eur. Phys. J. D 73, 242 (2019). https://doi.org/10.1140/epjd/e2019-100167-7

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  • DOI: https://doi.org/10.1140/epjd/e2019-100167-7

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