Representation Transform Theory of Dielectric Function on Plasmons inLow-Dimensional Quantum Systems

doi:10.3969/j.cnki.jdxb.2017.02.004

Journal of Jishou University（Natural Sciences Edition)

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Representation Transform Theory of Dielectric Function on Plasmons inLow-Dimensional Quantum Systems

YANG Zhe,LIU Xinhai

(School of Physics and Electronic Science,Changsha University of Science and Technology,Changsha 410114,China)

Online:2017-03-25 Published:2017-04-26
About author:YANG Zhe(1982—),male,was born in Shaoyang City,Hunan Province,master of School of Physics and Electronic Science,Changsha University of Science and Technology;research area are nano structures and nano materials；LIU Xinhai(1974—),male,was born in Tai'an City,Shandong Province,associate professor of School of Physics and Electronic Science,Changsha University of Science and Technology,doctor;research area are nano structures,nano materials and molecular electronics.
Supported by:
National Science Foundation of Hunan Provience(14JJ7040)

Abstract

Abstract:

We derive matrix expression of the dielectric function of plasmons in low-dimensional quantum systems and establish the transform relations among the present matrix expression,the tensor expression,and Fourier expression.In the finite-subband model,we calculate the dispersion relations of plasmon modes in quantum well structures and semiconductor superlattices for different representations and we numerically confirm the equivalence of the expressions of dielectric function on plasmons in these three representations.

Key words: low-dimensional, matrix expression, plasmons；dielectric function

YANG Zhe,LIU Xinhai. Representation Transform Theory of Dielectric Function on Plasmons inLow-Dimensional Quantum Systems[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2017.02.004.

References

[1] STERN F.Polarizability of a Two-Dimensional Electron Gas[J].Physical Review Letters,1967,18(14):546-548.
[2] VISSCHER P B,FALICOV L M.Dielectric Screening in a Layered Electron Gas[J].Physical Review B,1971,3(8):2 541-2 547.
[3] FETTER A L.Electrodynamics of a Layered Electron Gas. I. Single Layer[J].Annals of Physics,1973,81(2):367-393.
[4] BLOSS W L,BRODY E M.Collective Modes of a Superlattice-Plasmons,LO Phonon-Plasmons,and Magneto Plasmons[J].Solid State Communications,1982,43(7):523-528.
[5] DAS SARMA S,QUINN J J.Collective Excitations in Semiconductor Superlattices[J].Physical Review B,1982,25(12):7 603-7 618.
[6] TSELIS A,GONZALES DE LA CRUZ G,QUINN J J.Theory of Intersubband Collective Modes in Semiconductor Superlattices[J].Solid State Communications,1983,46(10):779-781.
[7] TSELIS A C,QUINN J J.Theory of Collective Excitations in Semiconductor Superlattice Structures[J].Physical Review B,1984,29(6):3 318-3 335.
[8] FASOL G,KING-SMITH R D,RICHARDS D,et al.Intrawell and Interwell Coupling of Plasmons in Multilayer Modulation-Doped GaAs/AlxGa1-xAs Quantum Wells[J].Physical Review B,1989,39(17):12 695-12 703.
[9] BECK D E.Self-Consistent Calculation of the Plasma Modes in a Layered Electron Gas[J].Physical Review B,1994,49(12):8 169-8 173.
[10] YU Jixin,XIA Jianbai.Collective Excitations in Coupled Quantum Wells[J].Solid State Communications,1996,99(6):433-438.
[11] SCHYU F L,LIN Mingfa,LU Yanten.Electronic Excitations in Cylinder Superlattices[J].Journal of the Physical Society Japan,1999,68(10):3 352-3 359.
[12] PUSEP YU A,SILVA M T O,MOSHEGOV N T,et al.Effect of Dispersion of "Vertically" Polarized Plasmon-LO-Phonon Excitations on Raman Scattering of Strongly Coupled GaAs/AlAs Superlattices[J].Physical Review B,2000,61(7):4 441-4 444.
[13] LEE HAENG KI,KIM EUN YONG,SOHN KI SOO,et al.Optical Properties and Collective Excitations of Plasmons in Semiconductor Superlattices in Magnetic Fields[J].Physical Review B,2001,63:045307.
[14] GOÑI A R,PINCZUK A,WEINER J S,et al.One-Dimensional Plasmon Dispersion and Dispersionless Intersubband Excitations in GaAs Quantum Wires[J].Physical Review Letters,1991,67(23):3 298-3 301.
[15] WENDLER LUTA,GRIGORYAN V G.Magnetoplasma Excitations in Quantum-Well Wires[J].Physical Review B,1994,49(19):13 607-13 610.
[16] WENDLER L,HAUPT R.Plasmons in Imperfect Parabolic Quantum-Well Wires:Self-Consistent Calculations[J].Physical Review B,1995,52(12):9 031-9 043.
[17] DAS SARMA S,HWANG E H.Dynamical Response of a One-Dimensional Quantum-Wire Electron System[J].Physical Review B,1996,54(3):1 936-1 946.
[18] WENDLER L,GRIGORYAN V G.Collective and Single-Particle Excitations of the Quasi-One-Dimensional Electron Gas in the Presence of a Magnetic Field[J].Physical Review B,1996,54(12):8 652-8 675.
[19] ULRICHS E,BIESE G,STEINEBACH C,et al.One-Dimensional Plasmons in Magnetic Fields[J].Physical Review B,1997,56(20):R12 760-R12 763.
[20] DAS SARMA S,HWANG E H.Collective Charge-Density Excitations in Two-Component One-Dimensional Quantum Plasmas:Phase-Fluctuation-Mode Dispersion and Spectral Weight in Semiconductor Quantum-Wire Nanostructures[J].Physical Review B,1999,59(16):10 730-10 743.
[21] YU Jixin,XIA Jianbai.Collective Excitations in the Coupled Quantum Wires[J].Solid State Communications,1996,98(3):227-233.
[22] HAI Guoqiang,TAVARES MARCOS R S.Tunneling-Assisted Acoustic-Plasmon-Quasiparticle Excitation Resonances in Coupled Quasi-One-Dimensional Electron Gases[J].Physical Review B,2000,61(3):1 704-1 707.
[23] KARIMI SHAHRZAD,ULLRICH CARSTEN A.Three-to Two-Dimensional Crossover in Time-Dependent Density-Functional Theory[J].Physical Review B,2014,90(24):245 304.
[24] VIGIL-FOWLER DEREK,LOUIE STEVEN G,JOHANNES LISCHNER.Dispersion and Line Shape of Plasmon Satellites in One,Two,and Three Dimensions[J].Physical Review B,2016,93(23):235 446.
[25] EHRENREICH H,COHEN M H.Self-Consistent Field Approach to the Many-Electron Problem[J].Physical Review,1959,115:786-790.
[26] SAWADA K.Correlation Energy of an Electron Gas at High Density[J].Physical Review,1957,106(2):372-383.
[27] BROUT R.Correlation Energy of a High-Density Gas:Plasma Coordinates[J].Physical Review,1957,108(3):515-517.

Representation Transform Theory of Dielectric Function on Plasmons inLow-Dimensional Quantum Systems

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