Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction

TL;DR

This study investigates the magnetic properties and Lyapunov exponents of a kagome chain with multi-site exchange interactions using a dynamical approach, revealing magnetization plateaus and corresponding Lyapunov behavior.

Contribution

It introduces a dynamical method to analyze magnetization and Lyapunov exponents in a kagome chain with complex exchange interactions, providing new insights into its magnetic phases.

Findings

Kagome chain separates into four sublattices with distinct magnetizations.

Magnetization curves show plateaus at zero and 2/3 saturation.

Lyapunov exponent exhibits plateaus near magnetization plateaus.

Abstract

The Ising approximation of the Heisenberg model in a strong magnetic field, with two, three and six spin exchange interactions is studied on a kagome chain. The kagome chain can be considered as an approximation of the third layer of 3He absorbed on the surface of graphite (kagome lattice). By using dynamical approach we have found one and multi-dimensional mappings (recursion relations) for the partition function. The magnetization diagrams are plotted and they show that the kagome chain is separating into four sublattices with different magnetizations. Magnetization curves of two sublattices exhibit plateaus at zero and 2/3 of the saturation field. The maximal Lyapunov exponent for multi-dimensional mapping is considered and it is shown that near the magnetization plateaus the maximal Lyapunov exponent also exhibits plateaus.