2DEG on a cylindrical shell with a screw dislocation

Abstract

A two dimensional electron gas on a cylindrical surface with a screw dislocation is considered. More precisely, we investigate how both the geometry and the deformed potential due to a lattice distortion affect the Landau levels of such system. The case showing the deformed potential can be thought in the context of 3D common semiconductors where the electrons are confined on a cylindrical shell. We will show that important quantitative differences exist due to this lattice distortion. For instance, the effective cyclotron frequency is diminished by the deformed potential, which in turn enhances the Hall conductivity

Harmonic oscillator in an elastic medium with a spiral dislocation

“…The common point between these areas of physics is the description of these defects made by the Volterra process [1,2,4,5]. Up to now, a great deal of study has explored quantum system in the presence of disclinations [6][7][8][9][10] and screw dislocations [5,[11][12][13][14][15][16] in the context of condensed matter physics. In particular, torsion effects related to the presence of topological defects are in the interests of studies of semiconductors [17][18][19][20].…”

On an atom with a magnetic quadrupole moment in a rotating frame

“…Hall effect [73], quantum scattering [74][75][76], spin currents [77], cylindrical shells [78] and geometric quantum phases [79,80].…”

Analysis of the interaction of an electron with radial electric fields in the presence of a disclination

“…Since topological defects can modify the electronic properties of the medium, then, studies of semiconductors and quantum dots in the presence of topological defects have attracted attention in the literature [5][6][7][8][9][10]. Other works have dealt with topological defects in quantum rings [11][12][13], electrons subject to the deformed Kratzer potential [14], electron gas in a cylindrical shell [15], quantum holonomies [16] and with an electron in a uniform magnetic field [17][18][19][20]. In recent years the influence of disclinations has been widely studied in several areas of physics [10].…”