Frustrated Spin-Peierls Chains

TL;DR

This paper investigates the phase diagram, ground state, and excitation gaps of a frustrated spin-Peierls chain with competing interactions, using bosonization RG and bond-operator mean field methods.

Contribution

It introduces a combined bosonization RG approach and a bond-operator mean field approximation for analyzing frustrated spin-Peierls chains, providing new insights into their properties.

Findings

Phase diagram of frustrated spin-Peierls chain mapped out.

Ground state properties characterized using mean field approximation.

Excitation gaps calculated with proposed methods.

Abstract

We study the phase diagram, ground state properties, and excitation gaps of a frustrated spin-Peierls chain, i.e. a spin-Peierls chain with both nearest neighbor exchange $J_1$ and next nearest neighbor exchange $J_2$. The phase diagram is calculated using a bosonization Renormalization-Group (RG) method. We propose a (bosonic) bond-operator mean field approximation to calculate the ground state properties and excitation gaps.