Regular Article

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

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

^a e-mail: lslima@cefetmg.br

Received: 28 March 2019
Received in final form: 14 September 2019
Published online: 21 November 2019

Abstract

The effect of uniform Dzyaloshinskii-Moriya interaction (antisymmetric spin coupling) and arbitrary oriented external magnetic fields in the x^̂ and z^̂ directions h_x, h_y, 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.