The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
arXiv:2204.06057 · doi:10.1007/s10714-022-03057-5
Abstract
In the present paper, we investigate the bound-state solutions of the noncommutative quantum Hall effect (NCQHE) with anomalous magnetic moment (AMM) in three different relativistic scenarios, namely: the Minkowski spacetime (inertial flat case), the spinning cosmic string (CS) spacetime (inertial curved case), and the spinning CS spacetime with noninertial effects (noninertial curved case). In particular, in the first two scenarios, we have an inertial frame, while in the third, we have a rotating frame. With respect to bound-state solutions, we focus primarily on eigenfunctions (Dirac spinor and wave function) and on energy eigenvalues (Landau levels), where we use the flat and curved Dirac equation in polar coordinates to reach such solutions. However, unlike the literature, here we consider a CS with an angular momentum non-null and also the NC of the positions, and therefore, we seek a more general description for the QHE. Once the solutions are obtained, we discuss the influence of all parameters and physical quantities on relativistic energy levels. Finally, we analyze the nonrelativistic limit, and we also compared our problem with other works, where we verified that our results generalize some particular cases of the literature.
54 pages, 11 figures
References in corpus (29)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Room-Temperature Quantum Hall Effect in Graphene
- Unconventional Integer Quantum Hall effect in graphene
- Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
- Cosmic String Interpretation of NANOGrav Pulsar Timing Data
- Disclinations, dislocations and continuous defects: a reappraisal
- Has NANOGrav found first evidence for cosmic strings?
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- From NANOGrav to LIGO with metastable cosmic strings
- Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
- Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
- Effects of mechanical rotation on spin currents
- Electronic properties of curved graphene sheets
- Boundary effects and gapped dispersion in rotating fermionic matter
- Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
- Landau Quantization in the Spinning Cosmic String Spacetime
- Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
- Scalar bosons under the influence of noninertial effects in the cosmic string spacetime
- Half-Quantized Hall Effect and Power Law Decay of Edge Current Distribution
- The Noncommutative Anandan's Quantum Phase
- On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
- Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
- Landau Analog Levels for Dipoles in the Noncommutative Space and Phase Space
- Neutrino spin oscillations in external fields in curved spacetime
- Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment
- Theory of the fractional quantum Hall effect in Weyl semimetals
- Inertial-Hall effect: the influence of rotation on the Hall conductivity
- Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
- Noninertial effects on nonrelativistic topological quantum scattering
Cited by in corpus (10)
- Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
- Dirac fermions in a spinning conical Gödel-type spacetime
- Comment on "Neutrino interaction with matter in a noninertial frame"
- Comment on "Exact massless spinor quasibound states of Schwarzschild black hole"
- Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space
- Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"
- Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"
- Dirac fermions with electric dipole moment and position-dependent mass in the presence of a magnetic field generated by magnetic monopoles
- Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime
- The Dirac oscillator in the curved spacetime of a cloud of strings