We discuss the nature and sequence of phase transitions in two-dimensional systems with
continuous degeneracy, in which other factors must be taken into account in addition to the …

The nonequilibrium relaxation (NER) method is a numerical technique to analyse
equilibrium phase transitions. One can estimate the transition point and critical exponents …

TheNishimori line'is a line or hypersurface in the parameter space of systems with quenched
disorder, where simple expressions of the averages of physical quantities over the …

For quantum phases of Hamiltonian ground states, the energy gap plays a central role in
ensuring the stability of the phase as long as the gap remains finite. We propose Markov …

The influence of the disorder-induced Anderson localization and electron-electron
interaction on the superconductivity in two-dimensional systems is explored. We determine …

We study the universality class of the Nishimori point in the 2D±J random-bond Ising model
by means of the numerical transfer-matrix method. Using the domain-wall free energy, we …

В 70-е годы было показано, что в широком классе двумерных систем с непрерывным
вырождением (включающем в себя, в частности, планарные ферромагнетики [1-5] …

Exact dynamical properties are discussed for the±J Ising model around the multicritical point
(MCP). It is found that the relation of relaxations between the non-equilibrium remanent …

We prove continuous symmetry breaking in three dimensions for a special class of
disordered models described by the Nishimori line. The spins take values in a group, such …

Group synchronization requires to estimate unknown elements. ย v/v2V of a compact group
G associated to the vertices of a graph GD. V; E/, using noisy observations of the group …