The dimerized ferromagnetic Heisenberg chain

TL;DR

This paper studies the properties of the dimerized ferromagnetic Heisenberg chain using a modified spin-wave theory, revealing excellent agreement with numerical data across various physical quantities and conditions.

Contribution

It introduces a modified spin-wave approach to analyze the dimerized ferromagnetic Heisenberg chain, providing accurate predictions for correlation functions and other properties.

Findings

Modified spin-wave theory matches numerical results well.

Dimerized ferromagnetic chains exhibit specific temperature-dependent behaviors.

Correlation lengths and susceptibilities are accurately described.

Abstract

Ferromagnetic, in contrast to antiferromagnetic, Heisenberg chains can undergo a Spin-Peierls dimerization only at finite temperatures. They show reentrant behavior as a function of temperature, which might play a role for systems with small effective elastic constants as, for example, monatomic chains on surfaces. We investigate the physical properties of the dimerized ferromagnetic Heisenberg chain using a modified spin-wave theory. We calculate the exponentially decaying spin and dimer correlation functions, analyze the temperature dependence of the corresponding coherence lengths, the susceptibility, as well as the static and dynamic spin structure factor. By comparing with numerical data obtained by the density-matrix renormalization group applied to transfer matrices, we find that the modified spin wave theory yields excellent results for all these quantities for a wide range of dimerizations and temperatures.