{ "id": "1103.3601", "version": "v1", "published": "2011-03-18T11:22:45.000Z", "updated": "2011-03-18T11:22:45.000Z", "title": "Surface roughness and thermal conductivity of semiconductor nanowires: going below the Casimir limit", "authors": [ "Jesús Carrete", "Luis Javier Gallego", "Luis Miguel Varela", "Natalio Mingo" ], "comment": "11 pages, 4 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "By explicitly considering surface roughness at the atomic level, we quantitatively show that the thermal conductivity of Si nanowires can be lower than Casimir's classical limit. However, this violation only occurs for deep surface degradation. For shallow surface roughness, the Casimir formula is shown to yield a good approximation to the phonon mean free paths and conductivity, even for nanowire diameters as thin as 2.22 nm. Our exact treatment of roughness scattering is in stark contrast with a previously proposed perturbative approach, which is found to overpredict scattering rates by an order of magnitude. The obtained results suggest that a complete theoretical understanding of some previously published experimental results is still lacking.", "revisions": [ { "version": "v1", "updated": "2011-03-18T11:22:45.000Z" } ], "analyses": { "subjects": [ "66.70.Df", "63.20.kp", "63.22.Gh" ], "keywords": [ "thermal conductivity", "casimir limit", "semiconductor nanowires", "phonon mean free paths", "deep surface degradation" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevB.84.075403", "journal": "Physical Review B", "year": 2011, "month": "Aug", "volume": 84, "number": 7, "pages": "075403" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvB..84g5403C" } } }