Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron–soliton systems—the effects of electron-two-phonon interaction and non-adiabatic quantum correlations

doi:10.1088/1674-1056/20/6/067103

中国物理B ›› 2011, Vol. 20 ›› Issue (6): 67103-067103.doi: 10.1088/1674-1056/20/6/067103

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron–soliton systems—the effects of electron-two-phonon interaction and non-adiabatic quantum correlations

罗质华¹, 余超凡¹, 曹锡金²

(1)Department of Physics, Guangdong University of Education, Guangzhou 510303, China; (2)Pinggang Middle School, Longgang District, Shenzhen 518116, China

收稿日期:2010-07-01 修回日期:2011-03-04 出版日期:2011-06-15 发布日期:2011-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10574163).

Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron–soliton systems—the effects of electron-two-phonon interaction and non-adiabatic quantum correlations

Luo Zhi-Hua(罗质华)^a), Cao Xi-Jin(曹锡金)^b)†, and Yu Chao-Fan(余超凡)^a)

^a Department of Physics, Guangdong University of Education, Guangzhou 510303, China; ^b Pinggang Middle School, Longgang District, Shenzhen 518116, China

Received:2010-07-01 Revised:2011-03-04 Online:2011-06-15 Published:2011-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10574163).

摘要/Abstract

摘要： Based on the Holstein model Hamiltonian of one-dimensional molecular crystals, by making use of the expansion approach of the correlated squeezed-coherent states of phonon instead of the two-phonon coherent state expansion scheme, the properties of the ground state and the anomalous quantum fluctuations are investigated in a strongly coupled electron-phonon system with special consideration of the electron-two-phonon interaction. The effective renormalization (ã_i) of the displacement of the squeezed phonons with the effect of the squeezed-coherent states of phonon and both the electron-displaced phonon and the polaron-squeezed phonon correlations have been combined to obtain the anomalous quantum fluctuations for the corrections of the coherent state. Due to these non-adiabatic correlations, the effective displacement parameter ã_i is larger than the ordinary parameter α_i⁽⁰⁾. In comparison with the electron-one-phonon interaction (g) corrected as ã_i, we have found the electron-two-phonon interaction (g₁) corrected as ã_i²g₁ is enhanced significantly. For this reason, the ground state energy (E₀⁽²⁾) contributed by the electron-two-phonon interaction is more negative than the single-phonon case (E₀⁽¹⁾) and the soliton solution is more stable. At the same time, the effects of the electron-two-phonon interaction greatly increase the polaron energy and the quantum fluctuations. Furthermore, in a deeper level, we have considered the effect of the polaron-squeezed phonon correlation (f-correlation). Since this correlation parameter f>1, this effect will strengthen the electron-one and two-phonon interactions by fã_ig and f²ã_i²g₁, respectively. The final results show that the ground state energy and the polaron energy will appear more negative further and the quantum fluctuations will gain further improvement.

Abstract: Based on the Holstein model Hamiltonian of one-dimensional molecular crystals, by making use of the expansion approach of the correlated squeezed-coherent states of phonon instead of the two-phonon coherent state expansion scheme, the properties of the ground state and the anomalous quantum fluctuations are investigated in a strongly coupled electron-phonon system with special consideration of the electron-two-phonon interaction. The effective renormalization (ã_i) of the displacement of the squeezed phonons with the effect of the squeezed-coherent states of phonon and both the electron-displaced phonon and the polaron-squeezed phonon correlations have been combined to obtain the anomalous quantum fluctuations for the corrections of the coherent state. Due to these non-adiabatic correlations, the effective displacement parameter ã_i is larger than the ordinary parameter α_i⁽⁰⁾. In comparison with the electron-one-phonon interaction (g) corrected as ã_i, we have found the electron-two-phonon interaction (g₁) corrected as ã_i²g₁ is enhanced significantly. For this reason, the ground state energy (E₀⁽²⁾) contributed by the electron-two-phonon interaction is more negative than the single-phonon case (E₀⁽¹⁾) and the soliton solution is more stable. At the same time, the effects of the electron-two-phonon interaction greatly increase the polaron energy and the quantum fluctuations. Furthermore, in a deeper level, we have considered the effect of the polaron-squeezed phonon correlation (f-correlation). Since this correlation parameter f>1, this effect will strengthen the electron-one and two-phonon interactions by fã_ig and f²ã_i²g₁, respectively. The final results show that the ground state energy and the polaron energy will appear more negative further and the quantum fluctuations will gain further improvement.

Key words: correlated squeezed-coherent state expansion, electron-two-phonon interaction, non-adiabatic correlations and renormalized phonon displacement, anomalous quantum fluctuations, polaron-squeezed phonon correlation

中图分类号: (Polarons and electron-phonon interactions)

71.38.-k

71.38.Mx (Bipolarons) 71.45.Lr (Charge-density-wave systems) 71.30.+h (Metal-insulator transitions and other electronic transitions)

罗质华, 曹锡金, 余超凡. Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron–soliton systems—the effects of electron-two-phonon interaction and non-adiabatic quantum correlations[J]. 中国物理B, 2011, 20(6): 67103-067103.

Luo Zhi-Hua(罗质华), Cao Xi-Jin(曹锡金), and Yu Chao-Fan(余超凡). Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron–soliton systems—the effects of electron-two-phonon interaction and non-adiabatic quantum correlations[J]. Chin. Phys. B, 2011, 20(6): 67103-067103.

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Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron–soliton systems—the effects of electron-two-phonon interaction and non-adiabatic quantum correlations

Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron–soliton systems—the effects of electron-two-phonon interaction and non-adiabatic quantum correlations

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