Quantum Hall systems offer the most familiar setting where strong interparticle interactions combine with topology of single-particle states to yield novel phenomena. Despite our mature understanding these systems, an open challenge has been develop a microscopic theory capturing both their universal and nonuniversal properties, when Hamiltonian is restricted noncommutative space lowest Landau ...

The Mpemba effect describes the situation in which a hot system cools faster than an identical copy that is initiated at colder temperature. In many of experimental observations effect, e.g. water and clathrate hydrates, it defined by phase transition timing. However, none theoretical investigations so far considered timing transition, most abstract models used to explore do not have transition...