Landau quantization and curvature effects in a two-dimensional quantum dot

Furtado, C.; Rosas, Alexandre; Azevedo, S.

doi:10.1209/0295-5075/79/57001

Cited by 62 publications

(40 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Moreover, we have shown that the presence of topological defects does not change the periodicity of the persistent currents as pointed out in Ref. [4] in the absence of torsion, but yields a new term in the expression of the persistent currents. Note that the existence of this new contribution to the persistent current in (19), which arises from the presence of torsion in a quantum dot, can be investigated in semiconductors quantum dots possessing a density of screw dislocations, since persistent spin currents can be measured in these systems.…”

Section: Hard-wall Confining Potentialsupporting

confidence: 69%

“…Persistent currents have been studied for spinless quantum particles confined to a quantum ring [2], two-dimensional quantum rings and quantum dots [3] due to the presence of the Aharonov-Bohm quantum flux. In the presence of a disclination, the confinement of a spinless quantum particle to a two-dimensional quantum dot has been discussed in [4], where it has been shown that the presence of a topological defect changes the periodicity of the persistent currents.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Persistent spin currents in an elastic Landau system

Bakke

Furtado

2013

Eur. Phys. J. B

View full text Add to dashboard Cite

We consider a neutral particle with permanent magnetic dipole moment in an elastic medium with the presence of a uniform distribution of screw dislocations interacting with a radial electric field. We show that the uniform distribution of dislocations plays the role of an effective uniform magnetic field, and obtain a spectrum of energy which depends on the Aharonov-Casher geometric phase [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984)]. Moreover, from the dependence of energy levels on the Aharonov-Casher geometric phase, we calculate the persistent spin currents in this elastic Landau system.

show abstract

Section: Hard-wall Confining Potentialsupporting

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Persistent spin currents in an elastic Landau system

Bakke

Furtado

2013

Eur. Phys. J. B

View full text Add to dashboard Cite

show abstract

“…Accordingly, the dynamics of a quantum particle in a conical background has been profusely studied with very different motivations [4]. An important issue concerning the cone is the fact that the conical background is naturally associated to a curvature singularity at the cone tip.…”

Section: Introductionmentioning

confidence: 99%

On the quantum dynamics of a point particle in conical space

Filgueiras

Moraes

2008

Annals of Physics

View full text Add to dashboard Cite

A quantum neutral particle, constrained to move on a conical surface, is used as a toy model to explore bound states due to both a inverse squared distance potential and a δ-function potential, which appear naturally in the model. These pathological potentials are treated with the self-adjoint extension method which yields the correct boundary condition (not necessarily a null wavefunction) at the origin. We show that the usual boundary condition requiring that the wavefunction vanishes at the origin is arbitrary and drastically reduces the number of bound states if used. The situation studied here is closely related to the problem of a dipole moving in conical space.

show abstract

“…We investigate situations where the defect is related to torsion. In addition we consider a potential that can describe different kinds of mesoscopic systems (quantum dots, wires or antidots) [16,21,22]. We apply this potential in a 2D ring and calculate their energy spectrum.…”

Section: Introductionmentioning

confidence: 99%

Quantum rings in a space with topological defects

Netto¹,

Furtado²,

Chesman³

2010

J. Phys.: Conf. Ser.

Self Cite

View full text Add to dashboard Cite

Abstract. Topological defects generally they occur in a system when phase transitions take place. We have examples of arrangements with these defects both in Gravitation and Condensed Matter. Depending on how they are generated, this kind of defects make the space present curvature or torsion. There is a wide literature about this matter, much from a gauge field point of view [1,2,3], and probing different aspects [6] as the existence of Landau levels [4,5] or quantum phases [7], for example. However, there is not an unique fundamental theory for describing defects in solids. In our work we follow the Geometric Thery of Defects (TGD) which has the work by Katanaev [8] as a good way of describing continuum media with topological defects. This last theoretical framework is our compass. Besides, we are interested in mesoscopic systems, an important subject right before the role played by nanodevices. In our work we study quantum rings in a space with a screw dislocation. This kind of space presents torsion. The confinement is modelled by a potential that describes different kinds of mesoscopic systems (quantum dots, antidots and quantum wires). We found some results showing the changes in the behaviour of properties as energy eigenvalues and magnetization.

show abstract

Landau quantization and curvature effects in a two-dimensional quantum dot

Cited by 62 publications

References 17 publications

Persistent spin currents in an elastic Landau system

Persistent spin currents in an elastic Landau system

On the quantum dynamics of a point particle in conical space

Quantum rings in a space with topological defects

Contact Info

Product

Resources

About