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

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.

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

Received: 01 July 2010
Revised: 04 March 2011
Accepted manuscript online:

PACS:	71.38.-k	(Polarons and electron-phonon interactions)
	71.38.Mx	(Bipolarons)
	71.45.Lr	(Charge-density-wave systems)
	71.30.+h	(Metal-insulator transitions and other electronic transitions)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10574163).

Cite this article:

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 2011 Chin. Phys. B 20 067103

[1]	Holstein T 1959 emphAnn. Phys. 8 325
[2]	Fradkin E and Hirsch J E 1983 emphPhys. Rev. B 27 1608
[3]	Hirsch J E and Fradkin E 1983 emphPhys. Rev. B 27 4302.
[4]	Hirsch J E 1985 emphPhys. Rev. B 31 6022
[5]	Nasu K 1988 emphPhys. Rev. B 37 5075
[6]	Slusher R E, Yurke B, Grangier P, Lapport A, Wells D F and Reid N 1987 emphJ. Opt. Soc. Am. B 4 1453
[7]	Zheng H, Feinberg D and Avignon M 1989 emphPhys. Rev. B 39 9405
[8]	Feinberg D, Ciuchi S and Pasquale F D 1990 emphInt. J. Mod. Phys. B 4 1317
[9]	Zheng H 1988 emphPhys. Rev. B 37 7419
[10]	Pang Z F 1999 emphPhys. Lett. A 259 446
[11]	Pang Z F 2001 emphJ. Phys. Chem. Solids 62 491
[12]	Roberto T and George P 1998 emphPhysica D 113 318
[13]	Wellein G and Fehake H 1997 emphPhys. Rev. B 56 4513
[14]	Henning D 1998 emphPhysica D 113 196
[15]	Tekic J, Ivic Z and Zekovic S 1999 emphPhys. Rev. E 60 821
[16]	Wang K L, Chen Q H and Wan S L 1994 emphPhys. Lett. A 185 216
[17]	Chen Q H, Fang M H and Zhang Q R 1996 emphPhys. Rev. B 53 11296
[18]	Kornilovitch P E 2000 emphPhys. Rev. Lett. 84 1551
[19]	Wan S L and Wang K L 2000 emphChin. Phys. Lett. 17 129
[20]	Ren Q B and Chen Q H 2005 emphChin. Phys. Lett. 22 2914
[21]	Ivanov V A, Zhuravlev M Ye, Muragama Y and Nakajima S 1996 emphJETP Lett. 64 148
[22]	Ren X Z, Liao X, Liu T and Wang K L 2006 emphActa Phys. Sin. 55 2865 (in Chinese)
[23]	Majernkova M and Koval J 1998 emphPhysica 37 23
[24]	Liang X X and Ban S L 2004 emphChin. Phys. 13 71
[25]	Wang Z G, Duan S Q and Zhao X G 2005 emphChin. Phys. 14 1232
[26]	Scully M O and Zubairy M S 1997 emphQuantum Optics (London: Cambridge University Press)
[27]	Xie C M, Fan H Y and Wan S L 2010 emphChin. Phys. B 19 064207
[28]	Liu W Y, An Y Y and Yang Z Y 2007 emphChin. Phys. 16 3704

[1]	Charge self-trapping in two strand biomolecules: Adiabatic polaron approach D Chevizovich, S Zdravković, A V Chizhov, and Z Ivić. Chin. Phys. B, 2023, 32(1): 010506.
[2]	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). Chin. Phys. B, 2022, 31(11): 117104.
[3]	Probability density and oscillating period of magnetopolaron in parabolic quantum dot in the presence of Rashba effect and temperature Ying-Jie Chen(陈英杰) and Feng-Lan Shao(邵凤兰). Chin. Phys. B, 2021, 30(11): 110304.
[4]	Multiple Fano resonances in metal-insulator-metal waveguide with umbrella resonator coupled with metal baffle for refractive index sensing Yun-Ping Qi(祁云平), Li-Yuan Wang(王力源), Yu Zhang(张宇), Ting Zhang(张婷), Bao-He Zhang(张宝和), Xiang-Yu Deng(邓翔宇), Xiang-Xian Wang(王向贤). Chin. Phys. B, 2020, 29(6): 067303.
[5]	Magnetpolaron effect in two-dimensional anisotropic parabolic quantum dot in a perpendicular magnetic field Kang-Kang Ju(居康康), CuiXian Guo(郭翠仙), Xiao-Yin Pan(潘孝胤). Chin. Phys. B, 2017, 26(9): 097103.
[6]	Temperature and hydrogen-like impurity effects on the excited state of the strong coupling bound polaron in a CsI quantum pseudodot Jing-Lin Xiao(肖景林). Chin. Phys. B, 2017, 26(2): 027104.
[7]	Crossover of large to small radius polaron in ionic crystals M I Umo. Chin. Phys. B, 2016, 25(11): 117104.
[8]	Polaron effect on the optical rectification in spherical quantum dots with electric field Zhen-Yu Feng(冯振宇), Zu-Wei Yan(闫祖威). Chin. Phys. B, 2016, 25(10): 107804.
[9]	Properties of strong-coupling magneto-bipolaron qubit in quantum dot under magnetic field Xu-Fang Bai(白旭芳), Ying Zhang(张颖), Wuyunqimuge(乌云其木格), Eerdunchaolu(额尔敦朝鲁). Chin. Phys. B, 2016, 25(7): 077804.
[10]	Effects of Shannon entropy and electric field on polaron in RbCl triangular quantum dot M Tiotsop, A J Fotue, S C Kenfack, N Issofa, H Fotsin, L C Fai. Chin. Phys. B, 2016, 25(4): 048401.
[11]	Effects of electron-optical phonon interactions on the polaron energy in a wurtzite ZnO/M_xZn_1-xO quantum well Zhao Feng-Qi (赵凤岐), Zhang Min (张敏), Bai Jin-Hua (白金花). Chin. Phys. B, 2015, 24(9): 097105.
[12]	Tight-binding electron-phonon coupling and band renormalization in graphene Zhang De-Sheng (张德生), Kang Guang-Zhen (康广震), Li Jun (李俊). Chin. Phys. B, 2015, 24(1): 017301.
[13]	Influence of electron-phonon interaction on the properties of transport through double quantum dot with ferromagnetic leads Luo Kan (罗侃), Wang Fa-Qiang (王发强), Liang Rui-Sheng (梁瑞生), Ren Zhen-Zhen (任珍珍). Chin. Phys. B, 2014, 23(10): 107103.
[14]	Electron-phonon coupling in cuprate and iron-based superconductors revealed by Raman scattering Zhang An-Min (张安民), Zhang Qing-Ming (张清明). Chin. Phys. B, 2013, 22(8): 087103.
[15]	The effect of interface hopping on inelastic scattering of oppositely charged polarons in polymers Di Bing (邸冰), Wang Ya-Dong (王亚东), Zhang Ya-Lin (张亚琳), An Zhong (安忠). Chin. Phys. B, 2013, 22(6): 067103.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

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

Cite this article:

Online attention