{ "id": "1502.04960", "version": "v1", "published": "2015-02-17T17:10:56.000Z", "updated": "2015-02-17T17:10:56.000Z", "title": "Plasmonic Waves on a Chain of Metallic Nanoparticles: Combined Effects of a Liquid Crystalline Host and Static Magnetic Field", "authors": [ "N. A. Pike", "D. Stroud" ], "comment": "7 Pages, 4 Figures. arXiv admin note: substantial text overlap with arXiv:1210.1509", "categories": [ "cond-mat.mes-hall" ], "abstract": "We calculate the dispersion relations of plasmonic waves propagating along a chain of metallic nanoparticles in the presence of both a static magnetic field $ B$ and a liquid crystalline host. Our calculations use the quasistatic approximation and a dipole approximation for the interaction between plasmons on different nanoparticles. For $B$ parallel to the chain, and nematic liquid crystal (NLC) host with director $\\hat{n}$ also parallel to the chain, the two transverse (T) branches consist of left- and right-circularly polarized waves with slightly different wave vectors for a given frequency. For $ B$ perpendicular and $\\hat{n}$ parallel to the chain, the longitudinal (L) and one of the T branches mix to form two elliptically polarized waves. In the parallel orientation we find that a linearly polarized T wave undergoes Faraday rotation as it propagates along the chain. For parameters approximating that of a typical metal, and for a field of $2T$ parallel to the chain, the Faraday rotation is of order of microdegrees per ten interparticle spacings. For a cholesteric liquid crystal (CLC) host with $B$ parallel to the chain, left- and right-traveling modes propagating along the chain have slightly different dispersion relations. This opens up the possibility of one-way wave propagation at some frequencies. Possible extensions of our approach are briefly discussed.", "revisions": [ { "version": "v1", "updated": "2015-02-17T17:10:56.000Z" } ], "analyses": { "keywords": [ "liquid crystalline host", "static magnetic field", "plasmonic waves", "metallic nanoparticles", "wave undergoes faraday rotation" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150204960P" } } }