Magnetotransport in Nonplanar SiGe/Si Nanomembranes

Meyer, Gregory J.; Dias, N. L.; Blick, Robert H.; Knežević, I.

doi:10.1109/tnano.2007.896848

Cited by 12 publications

(17 citation statements)

References 23 publications

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“…The familiar cylindrical case d(x) cos γ(x) = R is recovered when l spans one half of the polygon side. 35,37,38 From Eq. (2) we have calculated the energy levels E n as a function of the field intensity for a number of materials and geometries taken from the literature.…”

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confidence: 99%

Magnetic States in Prismatic Core Multishell Nanowires

et al. 2009

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We study the electronic states of core multishell semiconductor nanowires, including the effect of strong magnetic fields. We show that the multishell overgrowth of a free-standing nanowire, together with the prismatic symmetry of the substrate, may induce quantum confinement of carriers in a set of quasi-1D quantum channels corresponding to the nanowire edges. Localization and interchannel tunnel coupling are controlled by the curvature at the edges and the diameter of the underlying nanowire. We also show that a magnetic field may induce either Aharonov-Bohm oscillations of the energy levels in the axial configuration, or a dimensional transition of the quantum states from quasi-1D to Landau levels for fields normal to the axis. Explicit predictions are given for nanostructures based on GaAs, InAs, and InGaN with different symmetries.

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confidence: 99%

Magnetic States in Prismatic Core Multishell Nanowires

et al. 2009

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“…The study carried out in this paper could lead to the investigation not only of the role of geometry but also of the influence of topology in electronics as, for example, the study of magnetotransport [23]. Knowing the effect of geometry and the topology in the Landau levels could lead, for example, to the investigation of the Quantum Hall Effect [24] in curved substrates with defects.…”

Section: Discussionmentioning

confidence: 95%

Electron on a cylinder with topological defects in a homogeneous magnetic field

Filgueiras

Oliveira

2011

Annalen der Physik

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In this work we study the effects of the geometry and topology of a cylinder on the energy levels of an electron moving in a homogeneous magnetic field. We consider the existence of topological defects as a screw dislocation and a disclination. When we take the region of movement as the full cylindrical surface, we find that, by increasing the strength of the screw dislocation, the dispersion on the electronic energy levels is affected and monotonically increasing. For an electron moving in an almost flat region we show that the dispersion on the Landau levels decrease monotonically as we increase the strength of the screw dislocation. The lowest Landau level can reach a zero value, leaving the energy of the system solely given by the geometry of the cylinder, which does not depend on the magnetic field. In both situations, as we change the deficit angle of the disclination, we observe that the energy levels are shifted and the magnitude of such shift depends on the magnetic field. The Landau levels for a flat sample are recovered in the limit of an infinite cylinder radius.

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“…The main drawback of such structures is spatial fluctuations of the curvature of surface in them, which makes the studies of the effect of the curvature on the magnetotransport [24] in such structures a very difficult task. The cylindrical surface is the simplest model for investigating the influence of geometry on physical systems [25,26].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, with the study of energy spectrum of these systems, we can investigate the role of curvature in electronics as magnetotransport [24] and quantum electromechanical circuits [9]. Using Eq.…”

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Two-dimensional electron gas under the effect of constrained potential and magnetic field in curved space

Pahlavani

2015

Physica B: Condensed Matter

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Magnetotransport in Nonplanar SiGe/Si Nanomembranes

Cited by 12 publications

References 23 publications

Magnetic States in Prismatic Core Multishell Nanowires

Magnetic States in Prismatic Core Multishell Nanowires

Electron on a cylinder with topological defects in a homogeneous magnetic field

Two-dimensional electron gas under the effect of constrained potential and magnetic field in curved space

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