Two-dimensional quantum ring in a graphene layer in the presence of a Aharonov–Bohm flux

Neto, José Amaro; Bueno, M.J.; Furtado, C.

doi:10.1016/j.aop.2016.07.023

Cited by 47 publications

(7 citation statements)

References 49 publications

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“…Clearly, the search for Lorentz symmetry breaking effects in nanosystems is not limited to the spherical symmetry. Quantum dots and quantum rings allow us to extend our discussion to the quantum systems with cylindrical symmetry [54][55][56][57][58][59]. In view of these kind of nanostructures, they can be a good hint about searching for effects of the coupling between a fixed vector field f μ γ 5 and the derivative of the fermionic field at low-energy regime.…”

Section: Discussionmentioning

confidence: 99%

Nonrelativistic quantum effects of the Lorentz symmetry violation on the Morse potential

Bakke

Belich

2023

Commun. Theor. Phys.

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We search for Lorentz symmetry violation effects at low-energy regime by exploring the Dirac equation in $\left(1+1\right)$-dimensions and the possibility of dealing with quantum systems with spherical symmetry. We bring a discussion about the influence of the Lorentz symmetry violation effects on the spectrum of molecular vibrations caused by the coupling between a fixed vector field and the derivative of the fermionic field. Further, we discuss the influence of this Lorentz symmetry violation background on the revival time.

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Section: Discussionmentioning

confidence: 99%

Nonrelativistic quantum effects of the Lorentz symmetry violation on the Morse potential

Bakke

Belich

2023

Commun. Theor. Phys.

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“…Since it was introduced in the literature, several papers about the DO have been made in different areas of physics, such as in thermodynamic [8][9][10], physics-mathematics [4,[11][12][13], quantum optics [14][15][16][17], graphene physics [10,[18][19][20][21], etc, and has also been studied in different contexts, such as in quantum phase transitions [22,23], hidden supersymmetry [4], Aharonov-Bohm-Coulomb system [24], spin effects [25][26][27], rotating frames and cosmic strings [28,29], minimal length scenario [23], quantum rings [20,30], etc. In 2013, the DO was verified experimentally by J.…”

Section: Introductionmentioning

confidence: 99%

The noncommutative Dirac oscillator with a permanent electric dipole moment in the presence of an electromagnetic field

de Sousa Oliveira,

Alencar,

Landim

2024

Phys. Scr.

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We investigate the noncommutative Dirac oscillator (NCDO) with a permanent electric dipole moment (EDM) in the presence of an electromagnetic field. We consider a radial magnetic field generated by anti-Helmholtz coils and the uniform electric field of the Stark effect. Next, we determine the exact solutions of the system, given by the Dirac spinor and the relativistic energy spectrum. We note that such a spinor is written in terms of the generalized Laguerre polynomials, and such a spectrum is a linear function on the potential energy U, and depends on the quantum numbers n and m, spin parameter s, and of four angular frequencies: ω, ω–, ωθ, and ωη, where ω is the frequency of the DO, ω– is a type of ``cyclotron frequency'', and ωθ and ωη are the NC frequencies of position and momentum. We graphically analyze the behavior of the spectrum as a function of these frequencies for three different values of n, with and without the influence of U. Besides, as an interesting result, another interpretation can be given for the origin of the nonminimal coupling of the DO, which would be through a neutral fermion with EDM in a radial magnetic field. Finally, we also analyze the nonrelativistic limit of our results, and comparing our problem with other works, we verified that our results generalize some particular cases of the literature.

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“…Other examples are given in [4][5][6], where the energy levels depend on the Berry phase [7] and the Aharonov-Anandan quantum phase [8] when the particle is confined to a quantum ring. Analogues of the Aharonov-Bohm effect for bound states have been studied in two-dimensional quantum rings [9,10], between cylindrical surfaces [11][12][13], graphene [14][15][16], in a nanosphere [17] and Coulomb-type potentials [18,19]. In neutral particle systems, the dependence of the energy levels on the Aharonov-Casher geometric quantum phase [20] has been studied in quantum rings in [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Persistent currents, revival time and effects of rotation on an attractive inverse-square-type potential in a magnetic quadrupole moment system

Vieira

Bakke

2023

Proc. R. Soc. A.

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We study the appearance of an Aharonov–Bohm-type effect around a cylindrical cavity in a magnetic quadrupole moment system in a rotating reference frame. The analogue of the Aharonov–Bohm-type effect of bound states arises from the interaction of the magnetic quadrupole moment of a neutral particle with an induced electric field when the neutral particle is subject to an attractive inverse-square-type potential, which in turn stems from the interaction of the magnetic quadrupole moment of a neutral particle with a magnetic field. We also discuss how the effects of rotation modify the degeneracy of the energy levels in contrast to the case of absence of rotation. Besides this, we calculate the revival time and the persistent currents.

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Two-dimensional quantum ring in a graphene layer in the presence of a Aharonov–Bohm flux

Cited by 47 publications

References 49 publications

Nonrelativistic quantum effects of the Lorentz symmetry violation on the Morse potential

Nonrelativistic quantum effects of the Lorentz symmetry violation on the Morse potential

The noncommutative Dirac oscillator with a permanent electric dipole moment in the presence of an electromagnetic field

Persistent currents, revival time and effects of rotation on an attractive inverse-square-type potential in a magnetic quadrupole moment system

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