5 papers
Topology of the Fermi surface and universality of the metal-metal and metal-insulator transitions: -dimensional Hatsugai-Kohmoto model as an example
Gennady Y. Chitov
The earlier theory [1] of the quantum phase transitions related to the change of the Fermi Surface Topology (FST) is advanced. For such transitions the Fermi surface as a quantum c…
Identifying internal patterns in (1+1)-dimensional directed percolation using neural networks
Danil Parkhomenko, Pavel Ovchinnikov, Konstantin Soldatov +2
In this paper we present a neural network-based method for the automatic detection of phase transitions and classification of hidden percolation patterns in a (1+1)-dimensional rep…
Hierarchy of percolation patterns in a kinetic replication model
P. Ovchinnikov, K. Soldatov, V. Kapitan +1
The model of a one-dimensional kinetic contact process with parallel update is studied by the Monte Carlo simulations and finite-size scaling. The goal was to reveal the structure…
Fermi surface as a quantum critical manifold: gaplessness, order parameter, and scaling in -dimensions
Gennady Y. Chitov
We study several models of -dimensional fermions () with an emphasis on the properties of their gapless (metallic) phase. It occurs at as a continuous transitio…
Observational Constraints on Dynamical Dark Energy Models
Olga Avsajanishvili, Gennady Y. Chitov, Tina Kahniashvili +2
CDM models provide an alternative to the standard CDM paradigm, while being physically better motivated. These models lead to a time-dependent speed of sound for dark energ…