| CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES |
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Quantum nature of proton transferring across one-dimensional potential fields |
| Cheng Bi(毕成)1,2, Quan Chen (陈泉)1, Wei Li(李伟)3, and Yong Yang(杨勇)1,2,† |
| 1 Key Laboratory of Photovoltaic and Energy Conservation Materials, Institute of Solid State Physics, HFIPS, Chinese Academy of Sciences, Hefei 230031, China; 2 Science Island Branch of Graduate School, University of Science and Technology of China, Hefei 230026, China; 3 Key Laboratory of Materials Physics, Institute of Solid State Physics, HFIPS, Chinese Academy of Sciences, Hefei 230031, China |
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Abstract Proton transfer plays a key role in the applications of advanced energy materials as well as in the functionalities of biological systems. In this work, based on the transfer matrix method, we study the quantum effects of proton transfer in a series of one-dimensional (1D) model potentials and numerically calculate the quantum probability of transferring across single and double barriers (wells). In the case of single barriers, when the incident energies of protons are above the barrier height, the quantum oscillations in the transmission coefficients depend on the geometric shape of the barriers. It is found that atomic resonant tunneling (ART) not only presents in the rectangular single well and rectangular double barriers as expected, but also exists in the other types of potential wells and double barriers. For hetero-structured double barriers, there is no resonant tunneling in the classical forbidden zone, i.e., in the case when the incident energy (E i) is lower than the barrier height (E b). Furthermore, we have provided generalized analysis on the characteristics of transmission coefficients of hetero-structured rectangular double barriers.
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Received: 21 December 2020
Revised: 21 January 2021
Accepted manuscript online: 29 January 2021
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PACS:
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66.30.jp
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(Proton diffusion)
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68.35.Fx
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(Diffusion; interface formation)
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82.40.-g
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(Chemical kinetics and reactions: special regimes and techniques)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11474285). |
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Corresponding Authors:
†Corresponding author. E-mail: yyanglab@issp.ac.cn
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Cite this article:
Cheng Bi(毕成), Quan Chen (陈泉), Wei Li(李伟), and Yong Yang(杨勇) Quantum nature of proton transferring across one-dimensional potential fields 2021 Chin. Phys. B 30 046601
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