1D Frustrated Ferromagnetic Model with Added Dzyaloshinskii-Moriya Interaction

TL;DR

This paper investigates how adding Dzyaloshinskii-Moriya interaction affects the ground state phases of a 1D frustrated ferromagnetic spin-1/2 model, revealing classical and quantum phase transitions, entanglement properties, and the emergence of a rich phase diagram.

Contribution

It provides a comprehensive analysis of classical and quantum effects of DM interaction on a 1D frustrated ferromagnetic model, including phase diagrams and entanglement features, using analytical and numerical methods.

Findings

Classical ground state is a single chiral phase.

Quantum phase diagram includes Luttinger liquid, chiral, and dimer phases.

DM interaction induces long-distance entanglement and controls end-spin entanglement.

Abstract

The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classical and quantum effects of adding a Dzyaloshinskii-Moriya (DM) interaction on the ground state of the system is studied using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state magnetic phase diagram consists of only one single phase: "chiral". The quantum corrections are determined by means of the Lanczos method and a rich quantum phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is obtained. Moreover, next nearest neighbors will be entangled by increasing DM interaction and for open chains, end-spins are entangled which shows the long distance entanglement (LDE) feature that can be controlled by DM interaction.