Tuning the electrical resistivity of semiconductor thin films by nanoscale corrugation

Ono, Shota; Shima, Hiroyuki

doi:10.1103/physrevb.79.235407

Cited by 49 publications

(48 citation statements)

References 56 publications

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“…It is known that mobile carriers whose motion is confined to a thin curved layer behave differently from those on a conventional flat plane because of the curvature-induced electromagnetic field [43,44,45]. Another interesting issue is the effect of atomic lattice registry on nonlinear deformation (i.e.…”

Section: Resultsmentioning

confidence: 99%

Thin-shell theory based analysis of radially pressurized multiwall carbon nanotubes

Shima

Ghosh

Arroyo

et al. 2012

Computational Materials Science

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The elastic radial deformation of multiwall carbon nanotubes (MWNTs) under hydrostatic pressure is investigated within the continuum elastic approximation. The thin-shell theory, with accurate elastic constants and interwall couplings, allows us to estimate the critical pressure above which the original circular cross-section transforms into radially corrugated ones. The emphasis is placed on the rigorous formulation of the van der Waals interaction between adjacent walls, which we analyze using two different approaches. Possible consequences of the radial corrugation in the physical properties of pressurized MWNTs are also discussed.

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Section: Resultsmentioning

confidence: 99%

Thin-shell theory based analysis of radially pressurized multiwall carbon nanotubes

Shima

Ghosh

Arroyo

et al. 2012

Computational Materials Science

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“…In terms of e 1 and e 2 , the unit vector along the direction normal to the surface Eq. (A1) can be defined by [34] …”

Section: Conclusion and Discussionmentioning

confidence: 99%

Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space

2017

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In the spirit of the thin-layer quantization approach, we give the formula of the geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space. The geometric contributions can result from the reduced commutation relation between the acted function depending on normal variable and the normal derivative. According to the formula, we obtain the geometric potential, geometric momentum, geometric orbital angular momentum, geometric linear Rashba and cubic Dresselhaus spin-orbit couplings. As an example, a truncated cone surface is considered. We find that the geometric orbital angular momentum can provide an azimuthal polarization for spin, and the sign of the geometric Dresselhaus spin-orbit coupling can be flipped through the inclination angle of generatrix.

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“…These transformed results satisfy Eq. (20). As J 3 = 0, the Coulomb gauge obviously determines that we can not find a restricted gauge function to satisfy A 3 = 0 and…”

Section: A Spin-less Charged Particle Confined On 2d Curved Surfmentioning

confidence: 99%

“…where h ab are the coefficients of the second fundamental form, h ab = n · ∂ 2 r ∂q a ∂q b , wherein n is the unit vector perpendicular to S [20],…”

Section: Figmentioning

confidence: 99%

Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface

Wang

Zong

2016

Annals of Physics

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We clearly refine the fundamental framework of the thin-layer quantization procedure, and further develop the procedure by taking the proper terms of degree one in q3 (q3 denotes the curvilinear coordinate variable perpendicular to curved surface) back into the surface quantum equation. The well-known geometric potential and kinetic term are modified by the surface thickness. Applying the developed formalism to a toroidal system obtains the modification for the kinetic term and the modified geometric potential including the influence of the surface thickness.

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Tuning the electrical resistivity of semiconductor thin films by nanoscale corrugation

Cited by 49 publications

References 56 publications

Thin-shell theory based analysis of radially pressurized multiwall carbon nanotubes

Thin-shell theory based analysis of radially pressurized multiwall carbon nanotubes

Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space

Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface

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