{ "id": "cond-mat/0407127", "version": "v1", "published": "2004-07-06T14:11:30.000Z", "updated": "2004-07-06T14:11:30.000Z", "title": "The renormalization group for interacting fermions: from Fermi liquids to quantum dots", "authors": [ "R. Shankar" ], "comment": "Lectures given at the Fifteenth Chris Engelbrecht Summer School South Africa, January 2004. 6 eps figs and springer style file (svmult)", "doi": "10.1007/11358817_1", "categories": [ "cond-mat.mes-hall" ], "abstract": "The renormalization group approach as developed by the author for Fermi liquids is applied to clean Fermi liquids and ballistic quantum dots. In the former case Landau theory is shown to be a fixed point and in the latter the Universal Hamiltonian is shown to be a fixed point for weak coupling. The strong coupling phase is analyzed using large N and Random Matrix methods.", "revisions": [ { "version": "v1", "updated": "2004-07-06T14:11:30.000Z" } ], "analyses": { "keywords": [ "interacting fermions", "renormalization group approach", "fixed point", "case landau theory", "clean fermi liquids" ], "tags": [ "lecture notes", "journal article" ], "publication": { "journal": "Quantum Dots: a Doorway to Nanoscale Physics", "year": 2005, "volume": 667, "pages": 1 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005LNP...667....1S" } } }