Topological and noninertial effects in an Aharonov-Bohm ring

Abstract

In this paper, we study the influence of topological and noninertial effects on a Dirac particle confined in an Aharonov-Bohm (AB) ring. Next, we explicitly determine the Dirac spinor and the energy spectrum for the relativistic bound states. We observe that this spectrum depends on the quantum number $n$, magnetic flux $\Phi$ of the ring, angular velocity $\omega$ associated to the noninertial effects of a rotating frame, and on the deficit angle $\eta$ associated to the topological effects of a cosmic string. We verified that this spectrum is a periodic function and grows in values as a function of $n$, $\Phi$, $\omega$, and $\eta$. In the nonrelativistic limit, we obtain the equation of motion for the particle, where now the topological effects are generated by a conic space. However, unlike relativistic case, the spectrum of this equation depends linearly on the velocity $\omega$ and decreases in values as a function of $\omega$. Comparing our results with other works, we note that our problem generalizes some particular cases of the literature. For instance, in the absence of the topological and noninertial effects ($\eta =1$ and $\omega =0$) we recover the usual spectrum of a particle confined in an AB ring ($\Phi \ne 0$) or in an 1D quantum ring ($\Phi =0$).

arXiv comment15 pages, no figure. arXiv admin note: text overlap with arXiv:1906.07369

References in corpus (46)

• Spectroscopy of nanoscopic semiconductor rings
• Rapidly Rotating Atomic Gases
• Energy spectra of quantum rings
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Quantum rings for beginners: Energy spectra and persistent currents
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Persistent current in ballistic mesoscopic rings with Rashba spin-orbit coupling
• Dynamic response of isolated Aharonov-Bohm rings coupled to an electromagnetic resonator
• Quantum Transport in Nonuniform Magnetic Fields: Aharonov-Bohm Ring as a Spin Switch
• Relativistic quantum motion of spin-0 particles under the influence of non-inertial effects in the cosmic string space-time
• Effects of mechanical rotation on spin currents
• Mesoscopic decoherence in Aharonov-Bohm rings
• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Noninertial effects on the Dirac oscillator in a topological defect spacetime
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• Geometric and impurity effects on quantum rings in magnetic fields
• Observation of Quantum Asymmetry in an Aharonov-Bohm Ring
• Spin-dependent inertial force and spin current in accelerating systems
• Zero-conductance resonances and spin-filtering effects in ring conductors subject to Rashba coupling
• Noninertial effects on the quantum dynamics of scalar bosons
• From Rotating Atomic Rings to Quantum Hall States
• Physical regularization for the spin-1/2 Aharonov-Bohm problem in conical space
• Effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots
• Effect of spin-orbit coupling on zero-conductance resonances in asymmetrically coupled one-dimensional rings
• The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes
• Geometric Phase of electrons due to the Spin-rotation Coupling in Rotating C${}_{60}$ Molecules
• Pumping in a mesoscopic ring with Ahronov-Casher effect
• Edge states and thermodynamics of rotating relativistic fermions under magnetic field
• Persistent charge and spin currents in the long wavelength regime for graphene rings
• Hall state quantization in a rotating frame
• On the spin-1/2 Aharonov-Bohm problem in conical space: bound states, scattering and helicity nonconservation
• The effects of optically induced non-Abelian gauge field in cold atoms
• Bound state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system
• Interplay of h/e and h/2e Oscillations in Gate-Controlled Aharonov-Bohm Rings
• Effects of rotation in the energy spectrum of $C_{60}$
• Spin current generation due to mechanical rotation in the presence of impurity scattering
• Description for rotating $C_{60}$ fullerenes via Gödel-type metric
• Rotating Dirac fermions in a magnetic field in 1+2,3 dimensions
• Berry phase and Rashba fields in quantum rings in tilted magnetic field
• Hall effect in the presence of rotation
• Relativistic persistent currents in ideal Aharonov-Bohm rings
• Electronic properties of single and double napped carbon nanocones
• Spin Currents of Charged Dirac Particles in Rotating Coordinates
• Aharonov-Bohm rings in de Sitter expanding universe

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