For two-dimensional topological insulators, the integer and intrinsic (without external
magnetic field) quantum Hall effect is described by the gauge anomalous (2+ 1) …

In the present paper, we review the progress of the project of the classification and
construction of invariant differential operators for non-compact, semisimple Lie groups. Our …

In the absence of interactions the conductivity of the chiral separation effect (CSE) in the
system of massless fermions is given by a topological expression; interactions might change …

We consider magnetic Weyl semimetals. First of all we review relation of intrinsic anomalous
Hall conductivity, band contribution to intrinsic magnetic moment, and the conductivity of …

We discuss chiral separation effect in the systems with spatial nonhomogeneity. It may be
caused by nonuniform electric potential or by another reasons, which do not, however, break …

We propose a new version of Wigner-Weyl calculus for tight-binding lattice models. It allows
to express various physical quantities through Weyl symbols of operators and Green's …

We consider relativistic fermionic systems in lattice regularization out of equilibrium. The
chiral magnetic conductivity σ CME is calculated in a spatially infinite system for the case …

We discuss the tight-binding models of solid state physics with the Z 2 sublattice symmetry in
the presence of elastic deformations in an important particular case—the tight binding model …

Abstract Conductivity of Integer Quantum Hall Effect (IQHE) may be expressed as the
topological invariant composed of the two-point Green function. Such a topological invariant …

We discuss equilibrium relativistic fermionic systems in lattice regularization, and extend the
consideration of chiral magnetic effect to systems with spatial inhomogeneity and finite …