On geometric potentials in nanomechanical circuits

Abstract

We demonstrate the formation of confinement potentials in suspended nanostructures induced by the geometry of the devices. We then propose a setup for measuring the resulting geometric phase change of electronic wave functions in such a mechanical nanostructure. The device consists of a suspended loop through which a phase coherent current is driven. Combination of two and more geometrically induced potentials can be applied for creating mechanical quantum bit states.

Cited by in corpus (25)

• Quantum mechanics of a spin-orbit coupled electron constrained to a space curve
• Effect of Curvature on the Electronic Structure and Bound State Formation in Rolled-up Nanotubes
• Curvature-induced geometric potential in strain-driven nanostructures
• Absence of anomalous interactions in the quantum theory of constrained charged particles in presence of electrical currents
• Geometric Momentum: the Proper Momentum for a Free Particle on a Two-dimensional Sphere
• Tuning the electrical resistivity of semiconductor thin films by nanoscale corrugation
• Quantum motion on a torus as a submanifold problem in a generalized Dirac's theory of second-class constraints
• Quantum transport in a curved one-dimensional quantum wire with spin-orbit interactions
• Can the canonical quantization be accomplished within the intrinsic geometry?
• Geometric momentum for a particle constrained on a curved hypersurface
• Induced magnetic moment for a spinless charged particle in the thin-layer approach
• Geometric Potential Resulting from Dirac Quantization
• Wave functions in the neighborhood of a toroidal surface; hard vs. soft constraint
• Ballistic Anisotropic Magnetoresistance in Core Shell Nanowires and Rolled-up Nanotubes
• Curvature effects on collective excitations in dumbbell-shaped hollow nanotubes
• Transmission gaps from corrugations
• Anomalous phase shift in a twisted quantum loop
• Shapes and energies of icosahedral fullerenes: Onset of ridge sharpening transition
• Curved One-Dimensional Wire as a Spin Rotator
• The geometric potential of a double-frequency corrugated surface
• Two-dimensional electron gas under the effect of constrained potential and magnetic field in curved space
• General covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere
• Spin interference effects in Rashba quantum rings
• Spin-orbit coupled transport in a curved quantum wire
• The Geometrical Effects on Electronic Spectrum and Persistent Currents in Mesoscopic Polygon