Landau levels in the presence of disclinations

Furtado, C.; Cunha, Bruno G.C. da; Moraes, Fernando; Mello, E. R. Bezerra de; Bezzerra, V.B.

doi:10.1016/0375-9601(94)90432-4

Cited by 208 publications

(180 citation statements)

References 9 publications

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“…In particular, cosmic-string theory provides a bridge between the physical descriptions of microscopic and macroscopic scales and then generates extensive discussions on various quantum problems. The influences of topological defects on the Landau levels have been investigated [27,28]. It was shown that the presence of a cosmic string breaks the infinite degeneracy of the Landau levels.…”

Section: Introductionmentioning

confidence: 99%

Influences of a topological defect on the spin Hall effect

Wang

2013

Phys. Rev. A

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We study the influence of topological defects on the spin current as well as the spin Hall effect. We find that the nontrivial deformation of the space time due to topological defects can generate a spin-dependent current which then induces an imbalanced accumulation of spin states on the edges of the sample. The corresponding spin Hall conductivity has also been calculated for the topological defect of a cosmic string. Compared to the ordinary value, a correction which is linear with mass density of the cosmic string appears. Our approach to the dynamics of non relativistic spinor in the presence of a topological defect is based on the Foldy-Wouthuysen transformation. The spin current is obtained by using the extended Drude model which is independent of the scattering mechanism.

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Section: Introductionmentioning

confidence: 99%

Influences of a topological defect on the spin Hall effect

Wang

2013

Phys. Rev. A

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“…In order to proceed with our discussion about bound states solutions, let us use the Frobenius method [45,46]. Thereby, the solution to Eq.…”

Section: Klein-gordon Oscillator Under the Influence Of A Coulombmentioning

confidence: 99%

On a relativistic particle and a relativistic position-dependent mass particle subject to the Klein–Gordon oscillator and the Coulomb potential

2016

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The relativistic quantum dynamics of an electrically charged particle subject to the Klein-Gordon oscillator and the Coulomb potential is investigated. By searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the KleinGordon oscillator on the quantum numbers of the system. The meaning of this behaviour of the angular frequency is that only some specific values of the angular frequency of the Klein-Gordon oscillator are permitted in order to obtain bound state solutions. As an example, we obtain both the angular frequency and the energy level associated with the ground state of the relativistic system. Further, we analyse the behaviour of an electrically charged particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential.

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“…Recently, the quantum dynamics of relativistic [24,25,26,27,28] and non-relativistic [29,30,31,32] particles in the presence of a topological defects has been studied. The influence of a topological defect to the Landau levels in the presence of a topological defect has been investigated in recent years [33,34]. In [35], the Landau levels have been investigated in the continuum elastic medium with topological defect in the presence of an external magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Landau quantization for a neutral particle in the presence of topological defects

et al. 2009

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In this paper we study the Landau levels in the non-relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved spacetime background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a neutral particle with a permanent electric dipole moment. * Electronic address: kbakke,lrr,jroberto,furtado@fisica.ufpb.br

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Landau levels in the presence of disclinations

Cited by 208 publications

References 9 publications

Influences of a topological defect on the spin Hall effect

Influences of a topological defect on the spin Hall effect

On a relativistic particle and a relativistic position-dependent mass particle subject to the Klein–Gordon oscillator and the Coulomb potential

Landau quantization for a neutral particle in the presence of topological defects

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