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According to the self-consistent electronic dynamic transport theory of mesoscopic system, we present the dynamic conductance of mesoscopic structure. As an application of this theory, we employ a coherent mesoscopic parallel-plate capacitor model in the present study. The results show that the dynamic conductance of system depends on the frequency of external field and Fermi energy of system, and is a complex with a finite imaginary part. For a smaller frequency, the conductance shows a similar feature to dc case, but with the increase of the frequency of external fields, substantial deviations between dc case and ac case are observed, the dynamic conductance of system presents a peak structure with Fermi energy varying. For a given Fermi energy, the dynamic conductance is oscillatory with frequency varying, moreover some negative imaginary parts of conductance are observed. The negative imaginary part implies the capacitive behavior, and positive imaginary part refers to the inductive behavior.
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Keywords:
- self-consistent transport theory /
- coherent parallel-plate capacitor /
- conductance /
- mesoscopic system
[1] Christen T, Bttiker M 1996 Phys. Rev. Lett. 77 143
[2] Bttiker M, Prtre A, Thomas H 1993 Phys. Rev. Lett. 70 4114
[3] [4] [5] Prtre A, Thomas H, Bttiker M 1996 Phys. Rev. B 54 8130
[6] Fernando C L, Frensley W R 1995 Phys. Rev. B 52 5092
[7] [8] [9] Wang J, Guo H 1999 Phys. Rev. B 59 7572
[10] [11] Liu H C 1991 Phys. Rev. B 43 12538
[12] Zhao X A, He J H 2004 Acta Phys. Sin. 53 1201 (in Chinese) [赵学安、何军辉 2004 53 1201]
[13] [14] Dong Z C 1999 Acta Phys. Sin. 48 511 (in Chinese) [董正超 1999 48 511]
[15] [16] Xu H, Song W P 2002 Acta Phys. Sin. 51 1798 (in Chinese) [徐 慧、宋袆璞 2002 51 1798]
[17] [18] [19] Jauho A P, Wingreen N S, Meir Y 1994 Phys. Rev. B 50 5528
[20] Bttiker M 2000 J. Low Temp. Phys. 118 519
[21] [22] Bttiker M 1993 J. Phys: Condens. Matter 5 9361
[23] [24] Gabelli J, Fve G, Berroir J M, Placais B, Cavanna A, Etienne B, Jin Y, Glattli D C 2006 Science 313 499
[25] [26] [27] Yu Y B, Liu Q H, Quan J, Tang Y H 2007 Phys. Rev. B 75 115329
[28] Quan J, Liu Y X, Yu Y B 2010 Acta Phys. Sin. 59 1237(in Chinese)[全 军、刘一星、余亚斌 2010 59 1237]
[29] [30] Quan J, Yu Y B, Au Yeung T C 2009 Appl. Phys. Lett. 94 163116
[31] -
[1] Christen T, Bttiker M 1996 Phys. Rev. Lett. 77 143
[2] Bttiker M, Prtre A, Thomas H 1993 Phys. Rev. Lett. 70 4114
[3] [4] [5] Prtre A, Thomas H, Bttiker M 1996 Phys. Rev. B 54 8130
[6] Fernando C L, Frensley W R 1995 Phys. Rev. B 52 5092
[7] [8] [9] Wang J, Guo H 1999 Phys. Rev. B 59 7572
[10] [11] Liu H C 1991 Phys. Rev. B 43 12538
[12] Zhao X A, He J H 2004 Acta Phys. Sin. 53 1201 (in Chinese) [赵学安、何军辉 2004 53 1201]
[13] [14] Dong Z C 1999 Acta Phys. Sin. 48 511 (in Chinese) [董正超 1999 48 511]
[15] [16] Xu H, Song W P 2002 Acta Phys. Sin. 51 1798 (in Chinese) [徐 慧、宋袆璞 2002 51 1798]
[17] [18] [19] Jauho A P, Wingreen N S, Meir Y 1994 Phys. Rev. B 50 5528
[20] Bttiker M 2000 J. Low Temp. Phys. 118 519
[21] [22] Bttiker M 1993 J. Phys: Condens. Matter 5 9361
[23] [24] Gabelli J, Fve G, Berroir J M, Placais B, Cavanna A, Etienne B, Jin Y, Glattli D C 2006 Science 313 499
[25] [26] [27] Yu Y B, Liu Q H, Quan J, Tang Y H 2007 Phys. Rev. B 75 115329
[28] Quan J, Liu Y X, Yu Y B 2010 Acta Phys. Sin. 59 1237(in Chinese)[全 军、刘一星、余亚斌 2010 59 1237]
[29] [30] Quan J, Yu Y B, Au Yeung T C 2009 Appl. Phys. Lett. 94 163116
[31]
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