# Geometric effects on the electronic structure and the bound states in annular corrugated wires.

@article{Cheng2019GeometricEO, title={Geometric effects on the electronic structure and the bound states in annular corrugated wires.}, author={Run Cheng and Yong-Long Wang and Haoyang Gao and Hao Zhao and Jia-Qi Wang and Hongshi Zong}, journal={Journal of physics. Condensed matter : an Institute of Physics journal}, year={2019} }

In the spirit of the thin-layer quantization scheme, we give the effective Hamiltonian describing the noninteracting electrons confined to an annular corrugated wire, and find that the geometrically induced potential is considerably influenced by the introduced corrugations. By using numerical calculation, we investigate the eigenenergies and the corresponding eigenstates, and find that the transition energies can be sufficiently improved by adding corrugations. Particularly, the transition… Expand

#### Figures, Tables, and Topics from this paper

#### 2 Citations

Bound states and energy shifts resulting from corrugations

- Physics
- 2021

Abstract In the thin-layer quantization formalism, we give the effective Hamiltonian describing the noninteracting electron confined to the corrugated torus. In the presence of the geometric… Expand

Quantum Control beyond the Adiabatic Regime in 2D Curved Matter-Wave Guides.

- Physics, Medicine
- Physical review letters
- 2020

This work works out a design method for 2D sharply bent waveguides beyond this approximation using an exact inverse-engineering technique, and realizes reflectionless and ultrarobust curved guides, even in the presence of interactions. Expand

#### References

SHOWING 1-10 OF 63 REFERENCES

The geometric potential of a double-frequency corrugated surface

- Physics
- Physics Letters A
- 2019

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… Expand

Curvature-induced bound states and coherent electron transport on the surface of a truncated cone

- Physics
- 2016

We study the curvature-induced bound states and the coherent transport properties for a particle constrained to move on a truncated cone-like surface. With longitudinal hard wall boundary condition,… Expand

Band structure of the P, D, and G surfaces

- Physics
- 2005

A theoretical study on the band structures for electrons constrained to move along triply periodic minimal surfaces is presented. The P, D, and G surfaces, which belong to the same Bonnet family, are… Expand

Electronic structure of periodic curved surfaces: Topological band structure

- Physics
- 2001

The electronic band structure for electrons bound on periodic minimal surfaces is differential-geometrically formulated and numerically calculated. We focus on minimal surfaces because they are not… Expand

Quantum transport in a curved one-dimensional quantum wire with spin-orbit interactions

- Physics
- 2007

The one-dimensional effective Hamiltonian for a planar curvilinear quantum wire with arbitrary shape is proposed in the presence of the Rashba spin-orbit interaction. Single electron propagation… Expand

Transport in curved nanoribbons in a magnetic field

- Materials Science
- 2011

We study the low-field and ballistic electronic transport in curved nanoribbons subject to static and uniform magnetic fields, where the curved nanoribbon is placed between two leads that inject… Expand

Geometric effects in the electronic transport of deformed nanotubes.

- Materials Science, Physics
- Nanotechnology
- 2016

The curvature of the deformations indeed has strong effects on the electron dynamics, suggesting its use in the design of nanotube-based electronic devices, and the one-electron Schrödinger equation with open boundary conditions is solved numerically with a flexible MAPLE code. Expand

Topological surface states in deformed quantum wires

- Materials Science
- 2000

We show that a cylindrical quantum wire whose lateral surface is deformed may support surface states localized on the deformation. This surface localization can be studied upon writing the… Expand

Bound states and scattering in quantum waveguides coupled laterally through a boundary window

- Physics
- 1996

We consider a pair of parallel straight quantum waveguides coupled laterally through a window of a width l in the common boundary. We show that such a system has at least one bound state for any l≳0.… Expand

Effect of curvature on the electronic structure and bound-state formation in rolled-up nanotubes

- Physics
- 2010

We analyze the electronic properties of a two-dimensional electron gas rolled-up into a nanotube by both numerical and analytical techniques. The nature and the energy dispersion of the electronic… Expand