Dynamics of magnetization in frustrated spin-chain systems: Ca$_3$Co$_2$O$_6$

TL;DR

This paper models the magnetization dynamics in frustrated spin-chain systems like Ca$_3$Co$_2$O$_6$, explaining observed magnetization steps and their dependence on temperature and magnetic field sweep rate.

Contribution

It introduces a two-dimensional model with Glauber-like spin-flip dynamics to accurately describe magnetization steps in Ca$_3$Co$_2$O$_6$ and explores phase transitions.

Findings

Reproduces magnetization steps observed experimentally.

Shows dependence of magnetization dynamics on sweep rate and temperature.

Identifies a phase transition from low to high temperature.

Abstract

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field, and a heat reservoir that causes the chains to change their states randomly with time. A probability of a single spin-flip process is assumed in a Glauber-like form. This technique allows describing properly the steps in the magnetization curves observed in Ca$_3$Co$_2$O$_6$ and their dependence on a magnetic field sweep rate and temperature. A transition from a low-temperature to high-temperature phase is also observed.