Solitons and (spin-)Peierls transition in disordered quasi-one-dimensional systems

TL;DR

This paper investigates how disorder and thermal effects influence the (spin-)Peierls transition in quasi-one-dimensional systems, highlighting the role of kinks and their impact on interchain coherence, with implications for materials like CuGeO3.

Contribution

It introduces an effective Ising model to describe the transition and analyzes the effects of disorder and doping on the (spin-)Peierls transition in disordered quasi-one-dimensional systems.

Findings

Kinks induced by disorder and temperature disrupt interchain coherence.

Weak interchain interaction lowers the transition temperature below mean-field predictions.

Results align with properties observed in CuGeO3.

Abstract

We study the (spin-)Peierls transition in quasi-one-dimensional disordered systems, treating the lattice classically. The role of kinks, induced thermally and by disorder, is emphasized. For weak interchain interaction the kinks destroy the coherence between different chains at a temperature significantly lower than the mean-field Peierls transition temperature. We formulate the effective Ising model, which describes such a transition, investigate the doping dependence of the (spin-)Peierls transition temperature and discuss several implications of the picture developed. The results are compared with the properties of the spin-Peierls system CuGeO_3.