A description of dislocation and disclination defects in terms of the Riemann–Cartan
geometry is given, with the curvature and torsion tensors interpreted as the surface densities …

In this paper we study the Landau levels in the presence of topological defects. We analyse
the behaviour of electrons moving in a magnetic field in the presence of a continuous …

We study electrons moving in a magnetic field in the presence of a screw dislocation. We
focus on the influence of the screw dislocation on the energy spectrum of the electron (or …

The geometric language of General Relativity is not normally related to Condensed Matter
(CM) Physics since it is the electromagnetic and not the gravitational interaction that …

Многие твердые тела обладают кристаллической структурой. Однако в природе
идеальных кристаллов нет, и большинство их физических свойств, таких как …

We investigate the quantum scattering of an electron by a topological defect called
dispiration, with an externally applied magnetic field along its axis. The Aharonov–Bohm …

We consider scattering of elastic waves on parallel wedge dislocations in the geometric
theory of defects or, equivalently, scattering of point particles and light rays on cosmic …

We consider a wedge dislocation in the framework of elasticity theory and the geometric
theory of defects. We show that the geometric theory quantitatively reproduces all the results …

A class of Riemann-Cartan Gödel-type spacetimes are examined in the light of equivalence
problem techniques. The conditions for local spacetime homogeneity are derived …

We address the problem of a quantum particle moving under interactions presenting
singularities. The self-adjoint extension approach is used to guarantee that the Hamiltonian …