{ "id": "cond-mat/0411638", "version": "v1", "published": "2004-11-25T11:04:24.000Z", "updated": "2004-11-25T11:04:24.000Z", "title": "DC Josephson Effect in a Tomonaga-Luttinger Liquid", "authors": [ "Yositake Takane" ], "comment": "18 pages", "journal": "J. Phys. Soc. Jpn. 71 (2002) 550", "categories": [ "cond-mat.mes-hall" ], "abstract": "The dc Josephson effect in a one-dimensional Tomonaga-Luttinger (TL) liquid is studied on the basis of two bosonized models. We first consider a TL liquid sandwiched between two superconductors with a strong barrier at each interface. Both the interfaces are assumed to be perfect if the barrier potential is absent. We next consider a TL liquid with open boundaries, weakly coupled with two superconductors. Without putting strong barriers, we instead assume that the coupling at each interface is described by a tunnel junction. We calculate the Josephson current in each model, and find that the two models yield same results. The Josephson current is suppressed by repulsive electron-electron interactions. It is shown that the suppression is characterized by only the correlation exponent for the charge degrees of freedom. This result is inconsistent with a previously reported result, where the spin degrees of freedom also affects the suppression. The reason of this inconsistency is discussed.", "revisions": [ { "version": "v1", "updated": "2004-11-25T11:04:24.000Z" } ], "analyses": { "keywords": [ "dc josephson effect", "tomonaga-luttinger liquid", "strong barrier", "josephson current", "tl liquid" ], "tags": [ "journal article" ], "publication": { "doi": "10.1143/JPSJ.71.550", "journal": "Journal of the Physical Society of Japan", "year": 2002, "month": "Feb", "volume": 71, "number": 2, "pages": 550 }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002JPSJ...71..550T" } } }