Faraday Rotation, Band Splitting, and One-Way Propagation of Plasmon Waves on a Nanoparticle Chain

Abstract

We calculate the dispersion relations of plasmonic waves propagating along a chain of semiconducting or metallic nanoparticles in the presence of both a static magnetic field $\mathbf{B}$ and a liquid crystalline host. The dispersion relations are obtained using the quasistatic approximation and a dipole-dipole approximation to treat the interaction between surface plasmons on different nanoparticles. For a plasmons propagating along a particle chain in a nematic liquid crystalline host with both $\mathbf{B}$ and the director parallel to the chain, we find a small, but finite, Faraday rotation angle. For $\mathbf{B}$ perpendicular to the chain, but director still parallel to the chain, the field couples the longitudinal and one of the two transverse plasmonic branches. This coupling is shown to split the two branches at the zero field crossing by an amount proportional to $|\mathbf{B}|$. In a cholesteric liquid crystal host and an applied magnetic field parallel to the chain, the dispersion relations for left- and right-moving waves are found to be different. For some frequencies, the plasmonic wave propagates only in one of the two directions.

6 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1502.04960

References in corpus (5)

• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Longitudinal chirality, enhanced non-reciprocity, and nano-scale planar one-way guiding
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Cited by in corpus (1)

• Magnon Waves on Chains of YIG particles: Dispersion Relations, Faraday Rotation, and Power Transmission