Phase Transitions between Different Spin-Glass Phases and between Different Chaoses in Quenched Random Chiral Systems

TL;DR

This study uncovers four distinct spin-glass phases and their transitions in a 3D chiral clock model, revealing complex phase behavior and chaos quantified by Lyapunov exponents, using renormalization-group theory.

Contribution

First identification of four different spin-glass phases and their transitions in a 3D chiral clock model with q=4 states using renormalization-group analysis.

Findings

Four spin-glass phases including chiral and quadrupolar types identified.

Phase transitions between different spin-glass phases characterized.

Chiral spin-glass phase exhibits the highest chaos, quantified by Lyapunov exponents.

Abstract

The left-right chiral and ferromagnetic-antiferromagnetic double spin-glass clock model, with the crucially even number of states q=4 and in three dimensions d=3, has been studied by renormalization-group theory. We find, for the first time to our knowledge, four different spin-glass phases, including conventional, chiral, and quadrupolar spin-glass phases, and phase transitions between spin-glass phases. The chaoses, in the different spin-glass phases and in the phase transitions of the spin-glass phases with the other spin-glass phases, with the non-spin-glass ordered phases, and with the disordered phase, are determined and quantified by Lyapunov exponents. It is seen that the chiral spin-glass phase is the most chaotic spin-glass phase. The calculated phase diagram is also otherwise very rich, including regular and temperature-inverted devil's staircases and reentrances.