We consider the role of coordinate-dependent Fermi velocities, equivalent to effective tetrad
(or vierbein) frame fields characterizing momentum space geometry, and torsional Landau …

In the present paper, we investigate the bound-state solutions of the noncommutative
quantum Hall effect with anomalous magnetic moment in three different relativistic …

Topological semimetals are a new class of metallic materials, which exist at band fillings that
ordinarily correspond to insulators or compensated accidental semimetals with zero …

Luttinger's theorem connects a basic microscopic property of a given metallic crystalline
material, the number of electrons per unit cell, to the volume, enclosed by its Fermi surface …

We present a theory of charge density wave (CDW) states in Weyl semimetals and their
interplay with the chiral anomaly. In particular, we demonstrate a special nature of the …

It has recently been demonstrated that it is possible to open a gap in a magnetic Weyl
semimetal, while preserving the chiral anomaly along with the charge conservation and …

In this paper, we analyze the relativistic and nonrelativistic energy spectra (fermionic Landau
levels) for the noncommutative quantum Hall effect with anomalous magnetic moment in the …

We report the presence of exactly and nearly flat bands with non-trivial topology in three-
dimensional (3D) lattice models. We first show that an exactly flat band can be realized in a …

We discuss two scenarios of emergent gravity. In one of them the quantum vacuum is
considered as superplastic crystal, and the effective gravity describes the dynamical elastic …

We introduce a two-dimensional electronic insulator that possesses a toric-code topological
order enriched by translation symmetry. This state can be realized from disordering a weak …