The Fully Frustrated Hypercubic Model is Glassy and Aging at Large $D$
Enzo Marinari, Giorgio Parisi, Felix Ritort
TL;DR
This paper investigates the behavior of the fully frustrated hypercubic model in high dimensions, revealing a glass transition in the Ising case with aging phenomena, while the XY case remains paramagnetic without a phase transition.
Contribution
It provides a detailed analysis of the model's phase behavior in the infinite-dimensional limit, highlighting differences between Ising and XY spins.
Findings
Ising case exhibits a glass transition and aging effects.
XY case remains paramagnetic with no phase transition.
The model's behavior aligns with the random orthogonal model in the Ising case.
Abstract
We discuss the behavior of the fully frustrated hypercubic cell in the infinite dimensional mean-field limit. In the Ising case the system undergoes a glass transition, well described by the random orthogonal model. Under the glass temperature aging effects show clearly. In the case there is no sign of a phase transition, and the system is always a paramagnet.
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