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Plasmonic excitations in mesoscopic-sized atomic chains are investigated by employing the tight-binding model. Based on the quantum response theory and random phase approximation, a plasma oscillation eigen-frequency equation is derived for calculation of the plasmon energy spectrum. The plasmon energy spectrum has been numerically calculated, and the eigen-oscillation of the system and the resonance behavior under the external electric field applied on the atom chain are investigated, respectively. Dependence of plasmonic excitation energy on the length of systems and electron density has been discussed. Results suggest that in the case of resonance, the resonant peak of dipole moment is corresponding to the plasmonic excitation, and this indicates that the external electric field excites the plasmon of the system. In resonance the oscillation amplitude of the charge is much larger than that in the case of non-resonance, especially the imaginary part of the charge has a more obvious enhancement. For the eigen-oscillations, the plasmonic excitation energy is greater than the single-particle excitation state at the same level; the length of atomic chains, the electron density, and the strength of Coulomb correlation have significant effects on the plasmon spectroscopy. For the given atom-chain length, with variation of number of electrons, the plasmonic excitation energy varies symmetrically around the half-filling. This indicates that the plasmon spectrum of the system is symmetrical for the electrons and holes.
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Keywords:
- nanostructure /
- one-dimensional atomic chains /
- plasmon
[1] Nie S, Emory S R 1997 Science 257 1102
[2] Xu H X, Bjerneld E J, Käll M, Börjesson L 1999 Phys. Rev. Lett. 83 4357
[3] Zhang X F, Yan X 2013 Acta Phys. Sin. 62 037805 (in Chinese) [张兴坊, 闫昕 2013 物理学报 62 037805]
[4] Han Q Y, Tang J C, Zhang C, Wang C, Ma H Q, Yu L, Jiao R Z 2012 Acta Phys. Sin. 61 135202 (in Chinese) [韩清瑶, 汤俊超, 张弨, 王川, 马海强, 于丽, 焦荣珍 2012 物理学报 61 135202]
[5] Sun Y, Xia Y 2002 Science 298 2176
[6] Sönnichsen C, Franzl T, Wilk T, Plessen G V, Feldmann J, Wilson O, Mulvaney P 2002 Phys. Rev. Lett. 88 077402
[7] Cong C, Wu D J, Liu X J, Li B 2012 Acta Phys. Sin. 61 037301 (in Chinese) [丛超, 吴大建, 刘晓峻, 李勃 2012 物理学报 61 037301]
[8] Hervieux P A, Bigot J Y 2004 Phys. Rev. Lett. 92 197402
[9] Barnes W L, Dereux A, Ebbesen T W 2003 Nature(London) 424 824
[10] Pendry J B, Martin-Moreno L, Garcia-Vidia F J 2004 Science 305 847
[11] Yao H M, Chen X N, Chen X Z 2005 Acta Phys. Sin. 54 2645 (in Chinese) [姚汉民, 陈旭南, 陈献忠 2005 物理学报 54 2645]
[12] Wang R Z, Li P F, Yan X H 2002 Acta Phys. Sin. 51 2139 (in Chinese) [王如志, 李鹏飞, 颜晓红 2002 物理学报 51 2139]
[13] Chen Y, Yu L P, Zhu Z Y 2002 Acta Phys. Sin. 51 1571 (in Chinese) [陈一, 余礼平, 朱志远 2002 物理学报 51 1571]
[14] Fang N, Lee H, Sun C, Zhang X 2005 Science 308 534
[15] Bell A T. 2003 Science 299 1688
[16] Hirsch L R, Stafford R J, Bankson J A, Sershen S R, Rivera B, Price R E, Hazle J D, Halas N J, West J L 2003 Proc. Natl. Acad. Sci. U.S.A. 100 13549
[17] Nordlander P, Halas N J 2010 Phys. Chem. C 114 7378
[18] Muniz R A, Haas S 2009 Phys. Rev. B 80 045413
[19] Cassidy A, Grigorenko I, Haas S 2008 Phys Rev. B 77 245404
[20] Xu H X, Käll M 2002 Phys. Rev. Lett. 89 246802
[21] Yan J, Gao S W 2008 Phys. Rev. B 78 235413
[22] Yan J, Yuan Z, Gao S W 2007 Phys. Rev. Lett. 98 216602
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[1] Nie S, Emory S R 1997 Science 257 1102
[2] Xu H X, Bjerneld E J, Käll M, Börjesson L 1999 Phys. Rev. Lett. 83 4357
[3] Zhang X F, Yan X 2013 Acta Phys. Sin. 62 037805 (in Chinese) [张兴坊, 闫昕 2013 物理学报 62 037805]
[4] Han Q Y, Tang J C, Zhang C, Wang C, Ma H Q, Yu L, Jiao R Z 2012 Acta Phys. Sin. 61 135202 (in Chinese) [韩清瑶, 汤俊超, 张弨, 王川, 马海强, 于丽, 焦荣珍 2012 物理学报 61 135202]
[5] Sun Y, Xia Y 2002 Science 298 2176
[6] Sönnichsen C, Franzl T, Wilk T, Plessen G V, Feldmann J, Wilson O, Mulvaney P 2002 Phys. Rev. Lett. 88 077402
[7] Cong C, Wu D J, Liu X J, Li B 2012 Acta Phys. Sin. 61 037301 (in Chinese) [丛超, 吴大建, 刘晓峻, 李勃 2012 物理学报 61 037301]
[8] Hervieux P A, Bigot J Y 2004 Phys. Rev. Lett. 92 197402
[9] Barnes W L, Dereux A, Ebbesen T W 2003 Nature(London) 424 824
[10] Pendry J B, Martin-Moreno L, Garcia-Vidia F J 2004 Science 305 847
[11] Yao H M, Chen X N, Chen X Z 2005 Acta Phys. Sin. 54 2645 (in Chinese) [姚汉民, 陈旭南, 陈献忠 2005 物理学报 54 2645]
[12] Wang R Z, Li P F, Yan X H 2002 Acta Phys. Sin. 51 2139 (in Chinese) [王如志, 李鹏飞, 颜晓红 2002 物理学报 51 2139]
[13] Chen Y, Yu L P, Zhu Z Y 2002 Acta Phys. Sin. 51 1571 (in Chinese) [陈一, 余礼平, 朱志远 2002 物理学报 51 1571]
[14] Fang N, Lee H, Sun C, Zhang X 2005 Science 308 534
[15] Bell A T. 2003 Science 299 1688
[16] Hirsch L R, Stafford R J, Bankson J A, Sershen S R, Rivera B, Price R E, Hazle J D, Halas N J, West J L 2003 Proc. Natl. Acad. Sci. U.S.A. 100 13549
[17] Nordlander P, Halas N J 2010 Phys. Chem. C 114 7378
[18] Muniz R A, Haas S 2009 Phys. Rev. B 80 045413
[19] Cassidy A, Grigorenko I, Haas S 2008 Phys Rev. B 77 245404
[20] Xu H X, Käll M 2002 Phys. Rev. Lett. 89 246802
[21] Yan J, Gao S W 2008 Phys. Rev. B 78 235413
[22] Yan J, Yuan Z, Gao S W 2007 Phys. Rev. Lett. 98 216602
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