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arXiv · 1706.04891

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

Tolga Caglar·A. Nihat Berker
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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.

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Tolga Caglar, A. Nihat Berker. 2017-09-18. Phase Transitions between Different Spin-Glass Phases and between Different Chaoses in Quenched Random Chiral Systems. https://doi.org/10.1103/physreve.96.032103

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