Low-Temperature Resistivity Anomalies in Periodic Curved Surfaces

Abstract

Effects of periodic curvature on the the electrical resistivity of corrugated semiconductor films are theoretically considered. The presence of a curvature-induced potential affects the motion of electrons confined to the thin curved film, resulting in a significant resistivity enhancement at specific values of two geometric parameters: the amplitude and period of the surface corrugation. The maximal values of the two parameters in order to observe the corrugation-induced resistivity enhancement in actual experiments are quantified by employing existing material constants.

4 pages, 5 figures

References in corpus (3)

• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Tuning the electrical resistivity of semiconductor thin films by nanoscale corrugation
• Curvature effects on collective excitations in dumbbell-shaped hollow nanotubes

Cited by in corpus (11)

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• Geometric Potential Resulting from Dirac Quantization
• Density of Quantum States in Quasi-1D layers
• Geometric scattering of a scalar particle moving on a curved surface in the presence of point defects
• Anomalous phase shift in a twisted quantum loop
• Transmission gaps from corrugations
• Flexible control of the Peierls transition in metallic C${}_{60}$ polymers
• Manipulating the Tomonaga-Luttinger exponent by electric field modulation
• General covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere