| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Coherent interaction and action-counteraction theory in small polaron systems, and ground state properties |
| Zhi-Hua Luo(罗质华)† and Chao-Fan Yu(余超凡) |
| School of Physics and Information Engineering, Guangdong University of Education, Guangzhou 510303, China |
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Abstract Based on the coherent interaction and action-counteraction principles, we investigate the ground state properties for small polaron systems, the coherent-squeezed fluctuation correction, and the anomalous lattice quantum fluctuation, with the new variational generator containing correlated squeezed-coherent coupling and quantum entanglement. Noting that $-2t $ is the T.B.A. energy, for the coherent interaction effect, we find the ground-state energy $E_0$ to be $-2.428t$, in which the coherent squeezed fluctuation correction $-A_0 t$ is $-0.463t $ (where $ t $ is the hopping integral, $\omega $ is the phonon frequency), with the electron-one-phonon coupling constant $g=$1 and the electron-two-phonon coupling constant $g_{1}=-0.1$. However, as a result of the action-counteraction effect, $\tilde{{E}}_{0} $ is $-2.788t$, but $-\tilde{{A}}_{0} t$ is $-0.735t$. As to the polaron binding energy $(E_{\rm P} )$, for the coherent interaction effect, $E_{\rm P} $ is $-1.38\omega $, but for the action-counteraction effect, $\tilde{{E}}_{\rm P}$ is $-1.88\omega $. In particular, the electron-two-phonon interaction noticeably enlarges the coherent interaction and the coherent squeezed quantum fluctuation correction. By intervening with the quantum entanglement, the evolutions of the squeezed coherent state and the lattice quantum fluctuation begin to take control. At that time, we encounter a new quantum phase coherence phenomenon — the collapse and revival of inversion repeatedly for the coherent state in the entangled evolution.
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Received: 29 November 2021
Revised: 29 November 2021
Accepted manuscript online: 18 April 2022
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PACS:
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71.38.-k
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(Polarons and electron-phonon interactions)
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71.38.Mx
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(Bipolarons)
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71.45.Lr
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(Charge-density-wave systems)
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71.30.+h
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(Metal-insulator transitions and other electronic transitions)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10574163). |
Corresponding Authors:
Zhi-Hua Luo
E-mail: lo-zh@126.com
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Cite this article:
Zhi-Hua Luo(罗质华) and Chao-Fan Yu(余超凡) Coherent interaction and action-counteraction theory in small polaron systems, and ground state properties 2022 Chin. Phys. B 31 117104
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