Stability in microcanonical many-body spin glasses
Zsolt Bertalan, Kazutaka Takahashi
TL;DR
This paper extends the de Almeida-Thouless line to the microcanonical ensemble in many-body spin glasses, showing it matches the canonical case, and provides a full microcanonical phase diagram.
Contribution
It introduces a microcanonical phase diagram for many-body spin glasses, aligning the microcanonical and canonical stability boundaries.
Findings
Microcanonical and canonical de Almeida-Thouless lines coincide.
Complete microcanonical phase diagram derived.
Supports ensemble equivalence in spin glass models.
Abstract
We generalize the de Almeida-Thouless line for the many-body Ising spin glass to the microcanonical ensemble and show that it coincides with the canonical one. This enables us to draw a complete microcanonical phase diagram of this model.
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