Cylindrical surface plasmon mode coupling as a three-dimensional Kaluza- Klein theory

Details Cylindrical surface plasmon mode coupling as a three-dimensional Kaluza- Klein theory Cylindrical surface plasmon mode coupling as a three-dimensional Kaluza- Klein theory

2002-09-29

arxiv.org/abs/cond-mat/0209662v1

Phys.Rev.B 67, 165406 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevB.67.165406

Cylindrical surface plasmon (CSP) mode coupling in a nanowire or a nanochannel is described in terms of three-dimensional Kaluza-Klein theory in which the compactified third dimension is considered to be the angular coordinate of the metal cylinder. Higher (n>0) CSP modes are shown to posses a quantized effective charge proportional to their angular momentum n. In a nanowire these slow moving charges exhibit strong long-range interaction via fast massless CSPs with zero angular momentum (n=0). Such a mode-coupling theory may be used in description of nonlinear optics of cylindrical nanowires and nanochannels (for example, in single-photon tunneling effect), and may be further extended to describe interaction of electrons with nonzero angular momenta in thin gold wires and carbon nanotubes

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