Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic chain at 1/3 magnetization

TL;DR

This paper explores how elastic deformations influence magnetoelastic phases in a spin-1/2 antiferromagnetic J1-J2 chain at 1/3 magnetization, predicting novel trimerized phases and mapping a complex ground state phase diagram.

Contribution

It introduces a bosonization-based prediction of non-homogeneous trimerized phases in magnetoelastic chains at 1/3 magnetization, supported by exact diagonalization.

Findings

Prediction of non-homogeneous trimerized magnetoelastic phases.

Identification of a rich ground state phase diagram with classical and quantum plateau states.

Support from exact diagonalization of small clusters.

Abstract

We investigate elastic deformations of spin $S=1/2$ antiferromagnetic $J_1-J_2$ Heisenberg chains, at $M=1/3$ magnetization, coupled to phonons in the adiabatic approximation. Using a bosonization approach we predict the existence of non-homogeneous trimerized magnetoelastic phases. A rich ground state phase diagram is found, including classical and quantum plateau states for the magnetic sector as well as inequivalent lattice deformations within each magnetic phase. The analytical results are supported by exact diagonalization of small clusters.