The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.
Journal of Physics C: Solid State Physics , abstract =
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Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.
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The Legendre structure of the TAP complexity for the Ising spin glass
The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.
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On the true low-energy excitations of the three-dimensional spin glass
Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.