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12 papers · 2 filters
Finite temperature phase transition for disordered weakly interacting bosons in one dimension
I. L. Aleiner, B. L. Altshuler, G. V. Shlyapnikov
It is commonly accepted that there are no phase transitions in one-dimensional (1D) systems at a finite temperature, because long-range correlations are destroyed by thermal fluctu…
Glasses and replicas
Marc Mezard, Giorgio Parisi
We review the approach to glasses based on the replica formalism. The replica approach presented here is a first principle's approach which aims at deriving the main glass properti…
The Levy spin glass transition
K. Janzen, A. Engel, M. Mézard
We determine the phase transition of the Levy spin glass. A regularized model where the coupling constants smaller than some cutoff are neglected can be studied by the cavity m…
Effect of boundaries on the spectrum of a one-dimensional random mass Dirac Hamiltonian
Christophe Texier, Christian Hagendorf
The average density of states (DoS) of the one-dimensional Dirac Hamiltonian with a random mass on a finite interval [0,L] is derived. Our method relies on the eigenvalues distribu…
Decimation flows in constraint satisfaction problems
Saburo Higuchi, Marc Mézard
We study hard constraint satisfaction problems with a decimation approach based on message passing algorithms. Decimation induces a renormalization flow in the space of problems, a…
Critical interface: twisting spin glasses at
E. Brézin, S. Franz, G. Parisi
We consider identical copies of spin glasses in finite dimension coupled at the boundaries. This allows to identify the spin glass analogous of twisted boundary conditions in ferro…