Understanding spin glass transition as a dynamic phenomenon

Abstract

Existing theories explain spin glass transition in terms of a phase transition and order parameters, and assume the existence of a distinct spin glass phase. In addition to problems related to clarifying the nature of this phase, the common challenge is to explain profound dynamic effects. Here, we propose that the main experimental results of spin glass transition can be understood in an entirely dynamic picture, without a reference to a distinct spin glass phase, phase transition and order parameters. In this theory, the susceptibility cusp at the glass transition temperature is due to the dynamic crossover between the high-temperature relaxational and low-temperature spin wave, or elastic, regime. The crossover takes place when $t=\tau$, where $t$ is observation time and $\tau$ is relaxation time. Time-dependent effects, inconsistent with the phase transition approach, and the logarithmic increase of $T_g$ with field frequency in particular, originate as the immediate consequence of the proposed picture. We comment on the behavior of non-linear susceptibility. In our discussion, we explore similarities between the spin and structural glass transitions.

References in corpus (8)

• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Heat capacity of liquids: an approach from the solid phase
• Heat capacity at the glass transition
• Slow dynamics and stress relaxation in a liquid as an elastic medium
• Glass Phenomenology from the Connection to Spin Glasses
• Liquid elasticity length, universal dynamic crossovers and glass transition
• Depth dependent spin dynamics of canonical spin glass films: A low-energy muon spin rotation study
• Observation of non-local dielectric relaxation in glycerol

Cited by in corpus (1)

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