{ "id": "0911.4908", "version": "v1", "published": "2009-11-25T16:33:54.000Z", "updated": "2009-11-25T16:33:54.000Z", "title": "Universal Resistances of the Quantum RC circuit", "authors": [ "Christophe Mora", "Karyn Le Hur" ], "comment": "12 pages, 3 figures", "journal": "Nature Physics 6, 697 (2010)", "doi": "10.1038/nphys1690", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We examine the concept of universal quantized resistance in the AC regime through the fully coherent quantum RC circuit comprising a cavity (dot) capacitively coupled to a gate and connected via a single spin-polarized channel to a reservoir lead. As a result of quantum effects such as the Coulomb interaction in the cavity and global phase coherence, we show that the charge relaxation resistance $R_q$ is identical for weak and large transmissions and it changes from $h/2e^2$ to $h/e^2$ when the frequency (times $\\hbar$) exceeds the level spacing of the cavity; $h$ is the Planck constant and $e$ the electron charge. For large cavities, we formulate a correspondence between the charge relaxation resistance $h/e^2$ and the Korringa-Shiba relation of the Kondo model. Furthermore, we introduce a general class of models, for which the charge relaxation resistance is universal. Our results emphasize that the charge relaxation resistance is a key observable to understand the dynamics of strongly correlated systems.", "revisions": [ { "version": "v1", "updated": "2009-11-25T16:33:54.000Z" } ], "analyses": { "keywords": [ "charge relaxation resistance", "universal resistances", "fully coherent quantum rc circuit", "global phase coherence", "coherent quantum rc circuit comprising" ], "tags": [ "journal article" ], "publication": { "journal": "Nature Physics", "year": 2010, "month": "Sep", "volume": 6, "number": 9, "pages": 697 }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010NatPh...6..697M" } } }