Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study

TL;DR

This study uses the transfer-matrix renormalization group method to analyze thermodynamic and magnetic properties of zigzag spin chains with antiferromagnetic and ferromagnetic interactions, comparing results with experimental data.

Contribution

It applies the transfer-matrix renormalization group technique to zigzag spin chains, providing high-accuracy numerical results and comparison with experimental findings.

Findings

Thermodynamic quantities are accurately computed in the thermodynamic limit.

Magnetization field dependence is analyzed numerically.

Results are consistent with experimental data on Rb₂Cu₂Mo₃O₁₂.

Abstract

Properties of the zigzag spin chains with various nearest-neighbor and next-nearest-neighbor interactions are studied by making use of the transfer-matrix renormalization group method. Thermodynamic quantities of the systems (temperature dependence of the susceptibility and the specific heat), as well as the field dependence of the magnetization are analyzed numerically with a high accuracy in the thermodynamic limit. The results have been compared with the recent experimental data on Rb$_2$Cu$_{2}$Mo$_{3}$O$_{12}$.