Temperature effect of polaron in quantum disk

Abstract

Abstract:

Under the condition of electron-LO-phonon strong coupling，the eigen-energy and the corresponding eigen-wave functions of the ground state and the first excited state of electron in quantum disk were obtained by solving precisely the energy eigen-equation, and the phonon effect and the temperature effect were studied by LLP unitary transformation and elementary excitation theory method. Furthermore, the temperature effect on the ground energy of the polaron in quantum disk was discussed also. Numerical results showed that few phonons were excited at low temperature, while in the condition of high temperature, the energy of polaron was effected by temperature, and the higher temperature, the more phonons. The results also indicated that the energy of the ground state of polaron decreased with the increasing electron-LO phonon coupling strength. It means that quantum disk has obvious quantum size effect.

Key words: optoelectronics, quantum disk, polaron, temperature effect

CLC Number:

O469

Sarengaowa, ZHAO Cui-lan. Temperature effect of polaron in quantum disk[J]. J4, 2012, 29(4): 495-499.

References

[1] Cirac J I, Zoller P. Quantum computations with cold trapped Ions[J].Phys Rev Lett,1995,74:4091-4094.
[2] Chuang I L, Gershenfeld N A,Kubinec M. Experimental implementation of fast quantum searching[J]. Phys Rev Lett,1998,80:3408-3411.
[3] Turchette Q A, Hood C J, Lange W, etal. Measurement of conditional phase shifts for quantum logic[J].Phys Rev Lett,1995,75:4710-4713.
[4] Loss D, DiVincenzo D P. Quantum computation with quantum dots[J].Phys Rev A, 1998 ,57: 120-126.
[5] Fliyou M, Satori H, Bouayad M. Polaronic Effect on the Ground-State Energy of an Electron [J] . phys. stat. sol. (b), 1999, 212: 97-103
[6] Comas F, Studart N, Marques G E. Optical phonons in semiconductor quantum rods. Solid State Communications. 2004, 130: p477480
[7] Li S S, Xia J B. Electronic states of InAs/GaAs quantum ring [J] . Journal of Applied Physics,2001,89 (6): 3434-3437
[8] Kang K, Cha M C, et al. Linear chain of coupled quantum dots[J].Phys.Rev.B, 1997,56: 4344- 4347.
[9] Partoens B, Matulis B, Peeters F M, Magnetoplasma excitations of two vertically coupled dots[J]. Phys.Rev.B, 1998,57：13039-13049.
[10] Li S S, Xia J B, et al. Effective-mass theory for InAs/GaAs strained coupled quantum dots [J].Phys. Rev. B, 1996, 54:11575-11581.
[11] Li S S, Xia J B, Intraband optical absorption in semiconductor coupled quantum dots[J].Phys.Rev.B, 1997, 55:15434-15437.
[12] Guy Lamouche, Yves Lepine.Ground state of a quantum disk by the effective-index method. Phys. Rev. B,1995,51(3) :1950-1953.
[13] Chen C Y, Li W S, Teng X Y, Liang S D. Polaron in a quantum disk. Physica B,1998,245(01) :92-102
[14] B.Adolph, S.Glutsch, F.Bechstedt.Coulomb attraction in the optical spectra of quantum disks. Phys. Rev. B,1993,48(20) :15077-15085
[15] Xia W. Exciton states in a didk-like quantum dot.Physica B,2000,279(04) :253-256
[16] Ba Y Y, Xiao J L.Vibrational frequency of strong-coupling magnetopolaron in a quantum rods[J].Chinese Journal OF Quantum Electronics(量子电子学报),2010,27(3):361-366.
[17] Xiao J L, Wang L G. The properties of strong-coupling polarons in quantum dots [J].Journal of Optoelectronics•Laser,2003,14(8):886-888.
[18] Gong L L, Wang L G. The mean number of phonons of weak-coupling polaron in quantum disk[J].Journal of Inner Mongolia University for Nationalities,2009,24(3):244-246.
[19] Jian R H, ZHAO C L. Properties of strong-coupling magnetopolaron in a semiconductor quantum well [J].Chinese Journal OF Quantum Electronics(量子电子学报),2010,27(4) :480-485.
[20] Ge J, Wang N, Zhao C L. Influence of speed of polaron on properties of magnetopolaron in quantum dots [J].Chinese Journal OF Quantum Electronics(量子电子学报),2011,28(1):104-109.
[21] Bruno-Alfonso A. Semiconductor quantum rings: shallow-donor levels [J]. Physical Review B, 2000, 61, 15887-15894.