Interplay of Magnetic Interactions and External Fields on Entanglement in the One-Dimensional Heisenberg Chain

Abstract

In this paper, we investigate the interplay of Dzyaloshinskii–Moriya interaction (DMI) and uniform and staggered fields in x and z directions on entanglement in the spin-1/2 one-dimensional Heisenberg chain. We use the well-known mapping of this model on sine-Gordon theory to calculate the quantum entanglement quantifiers as von Neumann entropy and entanglement negativity, which provides a useful framework for studying the emergence of quantum correlation in this model. How the behavior of the spin velocity implies in a significant impact on energy of elementary excitations, carrying spin \(S^z=\pm 1/2\), we get that the DMI interaction and external fields generate a large effect on behavior of the spinons energy and quantum correlation.