The geometric potential of a double-frequency corrugated surface
arXiv:1810.11174 · doi:10.1016/j.physleta.2019.04.013
Abstract
For an electron confined to a surface reconstructed by double-frequency corrugations, we give the effective Hamiltonian by the formula of geometric influences, obtain an additive scalar potential induced by curvature that consists of attractive wells with different depth. The difference is generated by the multiple frequency of the double-frequency corrugation. Subsequently, we investigate the effects of geometric potential on the transmission probability, and find the resonant tunneling peaks becoming rapidly sharper and the transmission gaps being substantially widened with increasing the multiple frequency. As a potential application, double-frequency corrugations can be employed to select electrons with particular incident energy, as an electronic switch, which are more effective than a single-frequency ones.
arXiv comment6 pages, 5 figures
References in corpus (23)
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Quantum Mechanics on Manifolds Embedded in Euclidean Space
- Geometric potential and transport in photonic topological crystals
- Quantum mechanics of a spin-orbit coupled electron constrained to a space curve
- Wavevector-dependent spin filtering and spin transport through magnetic barriers in graphene
- Absence of anomalous interactions in the quantum theory of constrained charged particles in presence of electrical currents
- Curvature-induced geometric potential in strain-driven nanostructures
- Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field
- Geometric Momentum: the Proper Momentum for a Free Particle on a Two-dimensional Sphere
- On geometric potentials in nanomechanical circuits
- Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
- Tuning the electrical resistivity of semiconductor thin films by nanoscale corrugation
- Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface
- Constraint-induced mean curvature dependence of Cartesian momentum operators
- Diverse corrugation pattern in radially shrinking carbon nanotubes
- Pauli Equation on a Curved Surface and Rashba Splitting on a Corrugated Surface
- Geometric momentum for a particle constrained on a curved hypersurface
- Geometric effects resulting from square and circular confinements for a particle constrained to a space curve
- Wave functions in the neighborhood of a toroidal surface; hard vs. soft constraint
- Transmission gaps from corrugations
- Scattering due to geometry: The case of a spinless particle moving on an asymptotically flat embedded surface
- Geometric effects of a quarter of corrugated torus