Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field

TL;DR

This paper explores how quantum effects modify the Dzyaloshinskii-Moriya interaction in a one-dimensional spin-1/2 antiferromagnetic Heisenberg chain under a uniform magnetic field, revealing a rich phase diagram.

Contribution

It provides the first detailed analysis of quantum corrections to the DM interaction in this model using exact diagonalization, identifying new stable phases.

Findings

DM interaction induces a staggered chiral phase at zero field

The staggered chiral phase persists under an external magnetic field

The phase diagram includes four distinct phases: Luttinger liquid, chiral, spin-flop, and ferromagnetic

Abstract

We have investigated the ground state phase diagram of the 1D AF spin-1/2 Heisenberg model with the staggered Dzyaloshinskii-Moriya (DM) interaction in an external uniform magnetic field $H$. We have used the exact diagonalization technique. In the absence of the uniform magnetic field (H=0), we have shown that the DM interaction induces a staggered chiral phase. The staggered chiral phase remains stable even in the presence of the uniform magnetic field. We have identified that the ground state phase diagram consists of four Luttinger liquid, staggered chiral, spin-flop, and ferromagnetic phases.