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Geometric Effects of a Quarter of Corrugated Torus

by Run Cheng 1,2, Yong-Long Wang 2,3,*, Hua Jiang 2, Xiao-Jun Liu 1,* and Hong-Shi Zong 1,3,4,*
1
Key Laboratory of Modern Acoustics, Department of Physics, Nanjing University, Nanjing 210093, China
2
School of Physics and Electronic Engineering, Linyi University, Linyi 276005, China
3
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
4
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China
*
Authors to whom correspondence should be addressed.
Condens. Matter 2019, 4(1), 3; https://doi.org/10.3390/condmat4010003
Received: 1 December 2018 / Revised: 24 December 2018 / Accepted: 24 December 2018 / Published: 28 December 2018
In the spirit of the thin-layer quantization scheme, we give the effective Shrödinger equation for a particle confined to a corrugated torus, in which the geometric potential is substantially changed by corrugation. We find the attractive wells reconstructed by the corrugation not being at identical depths, which is strikingly different from that of a corrugated nanotube, especially in the inner side of the torus. By numerically calculating the transmission probability, we find that the resonant tunneling peaks and the transmission gaps are merged and broadened by the corrugation of the inner side of torus. These results show that the quarter corrugated torus can be used not only to connect two tubes with different radiuses in different directions, but also to filter the particles with particular incident energies. View Full-Text
Keywords: geometric potential; confining potential approach; curvature-tunable filter geometric potential; confining potential approach; curvature-tunable filter
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Cheng, R.; Wang, Y.-L.; Jiang, H.; Liu, X.-J.; Zong, H.-S. Geometric Effects of a Quarter of Corrugated Torus. Condens. Matter 2019, 4, 3.

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