Complex-Field Zeros of the random-energy model
Cristian F. Moukarzel, Nestor Parga
Abstract
The complex-field zeros of the Random Energy Model are analytically determined. For T<Tc they are distributed in the whole complex plane with a density that decays very fast with the real component of H. For T>Tc a region is found which is free of zeros and is associated to the paramagnetic phase of the system. This region is separated from the former by a line of zeros. The real axis is found to be enclosed in a cloud of zeros in the whole frozen phase of the system.
Create a lesson
Related papers
Glauber dynamics of the Sherrington--Kirkpatrick spin-glass model: a dynamical cavity method
Grzegorz Szamel
Generative diffusion in long-range correlated landscapes: Speciation cascade and the foam structure of the score
Jerome Garnier-Brun, Giulio Biroli, Marc Mézard et al.
A Clifford-index approach connecting boundary Dirac fermions to sigma-model topological terms in the periodic table of topological insulators and superconductors
Y. X. Zhao
Exact solution of the dynamic pseudogap model: Fock-space formalism for Gaussian fluctuations
Michael V. Sadovskii
Covariance-dependent participation scaling of Comtet disorder on open hyperbolic lattices
Wei Li, Yong Cheng
Informative Fisher Modes in Neural Networks as a Result of Explicit Symmetry Breaking
Ibrahim Talha Ersoy, Björn Ladewig, Karoline Wiesner