Scattering of electrons on screw dislocations

Bausch, Richard; Schmitz, Rudi; Turski, Łukasz A.

doi:10.1103/physrevb.59.13491

Cited by 39 publications

(44 citation statements)

References 15 publications

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“…Theoretical description of quantum dynamics in a medium with dislocation has been carried out a long time ago. For example, Kawamura [25] and Bausch, Schmitz, and Turski [26][27][28][29] investigated the scattering of a single particle in dislocated media using a different approach and demonstrated that the equation describing the scattering of a quantum particle by a screw dislocation is of Aharonov-Bohm form [1]. The Aharonov-Bohm effect has also been investigated using the Katanaev-Volovich approach in medium with a disclination in Refs.…”

Section: Introductionmentioning

confidence: 96%

Quantum ring in a rotating frame in the presence of a topological defect

2015

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In this contribution, we study the effects caused by rotation of an electron/hole in the presence of a screw dislocation confined in a quantum ring potential, within a quantum dynamics. The Tan-Inkson potential is used to model the confinement of the particle in two-dimensional quantum ring. We suppose that the quantum ring is placed in the presence of an external uniform magnetic field and an Aharonov-Bohm flux in the center of the system, and that the frame rotates around the z-axis. The Schrödinger equation is solved and the eigenfunctions and energy eigenvalues are exactly obtained for this configuration. The influence of the dislocation and the rotation on both the persistent current and magnetization is also studied.

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Section: Introductionmentioning

confidence: 96%

Quantum ring in a rotating frame in the presence of a topological defect

2015

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“…The quantization of gauge field is gauge boson; e.g., photons are a kind of gauge bosons out of the gauge degree of freedom of electromagnetic fields. The quantum motions of electrons in a gauge field due to the topological dislocation defects have been investigated (Bausch, Schmitz & Truski, 1999;Bausch, Schmitz & Turski, 1999;Turski & Mińkowski, 2009). The main conclusions of the gauge field theory (Bausch et al, 1998) are that the motion of a quantum particle is described in a curved-twisted space, as in gravitational field, called Rieman-Cartan manifold and that the Hamiltonian is separated in two parts that the covariant part and noncovariant parts (Larzar, 2010).…”

Section: Renormalization Group and Gauge Theorymentioning

confidence: 99%

Towards the Authentic Ab Intio Thermodynamics

Kim¹

2011

Thermodynamics - Interaction Studies - Solids, Liquids and Gases

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“…It means that we have the behaviour similar to the Ramsauer-Tousend effect of quantum mechanics, where the scattering amplitude becomes zero. The scattering amplitude is of Aharonov-Bohm-type although an extra term, due to the deformation potential, not included in this treatment, should appear [27]. As mentioned above a more detailed study, including this term, is due in a forthcoming publication.…”

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confidence: 99%

“…Note that we found a scattering behaviour similar to the Aharonov-Bohm effect, where the parameter ν represents a quantum potential. Notice that in [27] a chiral contribution to the scattering amplitude appears due to a repulsive term in the Hamiltonian derived from deformation potential theory. The fact that we did not consider neither the quadratic term in the electric field nor this repulsive term is quivalent to the case where we have both but they are adjusted to cancel each other (both terms are inversely proprtional to the radius square and have opposing signs).…”

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confidence: 99%

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Solid-state analog for the He-McKellar-Wilkens quantum phase

Ribeiro¹,

Furtado²,

Moraes³

2003

Europhys. Lett.

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Abstract. -In this letter we investigate the quantum dynamics of a quasiparticle in the presence of a charged screw dislocation submitted to a uniform magnetic field. Analysing the quantum scattering for this quasiparticle we observed the appearance of a topological quantum phase in the solution and demonstrate that this phenomenon is the solid state analog of the He-McKeller-Wilkens effect.Aharonov and Bohm(AB) [1] have demonstrated that a quantum charge circulating around a magnetic flux tube acquires a quantum topological phase. This effect has been found experimentally by Shambers [2,3]. Aharonov and Casher [4] showed that a particle with a magnetic moment moving in a electric field accumulates a quantum phase, the AharonovCasher(AC) phase. This phenomenon has been observed with a neutron interferometer [5] and in a neutral atomic Ramsey interferometer [6]. He and Mckellar [7], and Wilkens [8] independently, have predicted the existence of a quantum phase that a electric dipole acquires, while circulating around, and parallel to, a line of magnetic monopoles. This phase has been denominated in the literature the He-Mckellar-Wilkens(HMW) phase. It is the Maxwell dual of the AC phase. A practical experimental configuration to test the HMW phase was proposed by Wei, Han and Wei [9]. In their proposal the electric field of a charged wire polarizes a neutral atom and a uniform magnetic field is applied parallel to the wire. In this field configuration, the neutral atom acquire a HMW phase. In a recent article Anandan [10] has presented a

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Scattering of electrons on screw dislocations

Cited by 39 publications

References 15 publications

Quantum ring in a rotating frame in the presence of a topological defect

Quantum ring in a rotating frame in the presence of a topological defect

Towards the Authentic Ab Intio Thermodynamics

Solid-state analog for the He-McKellar-Wilkens quantum phase

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