Tuning the Hall conductivity with rotation

Abstract

In this work we investigate the effects of rotation in the integer quantum Hall effect. We verify that the quantization of the Hall conductivity comes from the quantization of a generalized gauge field flux as predicted by Fischer and Schopohl (Europhys. Lett., 54 (2001) 502) and show that rotation can be used to fine-tune the conductivity plateaus.

Inertial and topological effects on a 2D electron gas

“…In fact, curvature may be used as a tool to manipulate the electronic structure of charge carriers confined to a surface [6][7][8]. Rotation, as well, has its effects on the IQHE as we reported in a previous publication [9]. The aim of this article is to further elucidate the influence of curvature and rotation on the LL and on the IQHE.…”

“…This is done with the inclusion of a topological defect (disclination) and by making the system rotate around the defect axis. Separately, the disclination [10] and the rotation [9,11] introduce subtle modifications in the LL spectrum without changing the linear dependence of the energy on the magnetic field. Together, they make the energy dependence on the magnetic field become parabolic and there appears a range of magnetic field free of LL, as presented below.…”

The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios

“…Therefore, using the information above and the fact that in the QHE the angular component of the vector potential associated with a constant uniform magnetic field B = B e z is given by A ϕ (ρ) = 1 2 Bρ (symmetric gauge in polar coordinates) [78,79,146,147], we can then rewrite Eq. ( 21) in the form…”

“…In recent decades, inertial effects (here we call noninertial effects) generated by rotating frames (such as Coriolis, centrifugal, or Euler forces) on quantum systems have been widely studied in the literature, where possibly the oldest and most well-known effect on this theme is the Barnett effect (magnetization induced by rotation) [67][68][69]. In the nonrelativistic context (low energies), noninertial effects are very important in physical systems found in condensed matter (theoretical and experimental), for example, have already been applied to problems involving Bose-Einstein condensates [71], spin currents [72,73], atomic gases [74], fullerenes (C 60 molecules) [75], superconductors [76], quantum rings [77], and in the QHE [72,78,79]. Now, in the relativistic context (high energies), noninertial effects are also very important [80][81][82], and considering in special the DE (or the Dirac field) in a rotating frame [83], we can study systems involving boundary effects and gapped dispersion in rotating fermionic matter [84], chiral symmetry restoration, moment of inertia and thermodynamics [85], chiral symmetry breaking [86], coherence and quantum decoherence [87,88], quantum chromodynamics [89,90], pairing phase transitions [91], carbon nanotubes [92], fullerenes [93], etc.…”

Topological and non inertial effects on the interband light absorption

“…The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation was established in [14]. It is clear then, that rotation may be used as an additional tool to manipulate the electronic structure of charge carriers in low dimensional systems as discussed in [15,16].…”