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

In the spirit of the thin-layer quantization scheme, we give the effective Hamiltonian describing the noninteracting electrons confined to an annular corrugated surface, and find that the geometrically induced potential is considerably influenced by corrugations. By using a numerical calculation, we...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2020-01, Vol.32 (2), p.25504-025504
Main Authors: Cheng, Run, Wang, Yong-Long, Gao, Hao-Xuan, Zhao, Hao, Wang, Jia-Qi, Zong, Hong-Shi
Format: Article
Language:English
Subjects:
annular corrugated wires
bound states
electronic structure
geometric potential
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Summary:In the spirit of the thin-layer quantization scheme, we give the effective Hamiltonian describing the noninteracting electrons confined to an annular corrugated surface, and find that the geometrically induced potential is considerably influenced by corrugations. By using a 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 energy between the adjacent eigenstates corresponds to energy level differences based on the wavefunction of annular wire, and the number of the energy levels is equal to the number of corrugations. Furthermore, the larger magnitude of corrugations is capable of increasing the number of bound states. In addition, the distribution of ground state probability density is reconstructed by the corrugations, and the energy shift is generated.
ISSN:0953-8984
1361-648X
DOI:10.1088/1361-648X/ab494e