Alexander D. Mirlin

TL;DR: In this paper, a matrix product states-based approach is proposed for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. But the method is applied to one-dimensional chains of nearest-neighbor interacting hard-core bosons.

TL;DR: In this article, a review of magnetotransport of electrons in a 2D system in the range of moderately strong transverse magnetic fields is presented, including quasiclassical memory effects in systems with various types of disorder, transport in lateral superlattices, interaction-induced quantum magnetoresistance, quantum magnetooscillations in dc and ac transport and oscillatory microwave photoconductivity.

TL;DR: The residual negative dissipative resistance in the stable domain state of the voltage-biased system has a rich phase diagram in the system size and voltage plane, with second- and first-order transitions between the domain and homogeneous states for small and large voltages, respectively.

TL;DR: In this article, commensurability oscillations in the magnetoresistivity of a two-dimensional electron gas in a 2D lateral superlattice are studied in the framework of quasiclassical transport theory.

TL;DR: In this paper, the authors explore the dynamics of disordered and quasi-periodic interacting lattice models using a self-consistent time-dependent Hartree-Fock (TDHF) approximation, accessing both large systems and very long times.