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

Abstract

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

5 pages, 1 figure

References in corpus (7)

• Plasmon-assisted Quantum Entanglement
• Density dependent spin polarisation in ultra low-disorder quantum wires
• Single-photon tunneling
• Diamagnetic orbital response of mesoscopic silver rings
• Optical control of photon tunneling through an array of nanometer scale cylindrical channels
• Anomalous Conductance Distribution in Quasi-One Dimension: Possible Violation of One-Parameter Scaling Hypothesis
• Fractal extra dimension in Kaluza-Klein theory

Cited by in corpus (7)

• Surface plasmon toy-model of a rotating black hole
• Metamaterial "Multiverse"
• Holographic duality in nonlinear hyperbolic metamaterials
• Magnetic light
• Dephasing of electrons in mesoscopic metal wires due to zero-point fluctuations of optically active localized plasmon modes
• Long-range Coulomb-like mode interaction in a coaxial waveguide filled with Faraday material
• Vacuum diamagnetism of mesoscopic metallic samples