Numerical Study of the Incommensurate Phase in Spin-Peierls Systems

TL;DR

This study investigates the properties of lattice solitons in the incommensurate phase of spin-Peierls systems using numerical methods, revealing both qualitative agreement and quantitative differences with theoretical predictions.

Contribution

It provides a detailed numerical analysis of soliton features and their relation to magnetic properties, highlighting discrepancies with existing bosonized field theory predictions.

Findings

Relation between soliton width and spin-Peierls gap matches predictions qualitatively.

Quantitative differences found in soliton properties compared to theoretical models.

Results could inform experimental studies of spin-Peierls materials.

Abstract

We analyze several properties of the lattice solitons in the incommensurate phase of spin-Peierls systems using exact diagonalization and quantum Monte Carlo. These systems are modelled by an antiferromagnetic Heisenberg chain with nearest and next-nearest neighbor interactions coupled to the lattice in the adiabatic approximation. Several relations among features of the solitons and magnetic properties of the system have been determined and compared with analytical predictions. We have studied in particular the relation between the soliton width and the spin-Peierls gap. Although this relation has the form predicted by bosonized field theories, we have found some important quantitative differences which could be relevant to describe experimental studies of spin-Peierls materials.