{ "id": "1507.03930", "version": "v1", "published": "2015-07-14T17:08:59.000Z", "updated": "2015-07-14T17:08:59.000Z", "title": "Ferromagnetic and underscreened Kondo behavior in quantum dot arrays", "authors": [ "J. A. Andrade", "D. J. GarcĂ­a", "Pablo S. Cornaglia" ], "comment": "9 pages, 7 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "We analyze the low energy properties of a device with $N+1$ quantum dots in a star configuration. A central quantum dot is tunnel coupled to source and drain electrodes and to $N$ quantum dots. Extending results by Baruselli et al. [Phys. Rev. Lett. 111 047201 (2013)] we show that, in the appropriate parameter regime, the low energy Hamiltonian of the system is a ferromagnetic Kondo model for a $S=(N-1)/2$ impurity spin. For small enough interdot tunnel coupling, however, a two-stage Kondo effect takes place as the temperature is decreased. The spin $1/2$ in the central quantum dot is Kondo screened first and at lower temperatures the antiferromagnetic coupling to the side-coupled quantum dots leads to an underscreened $S=N/2$ Kondo effect. We present numerical results for the thermodynamic and spectral properties of the system which show a singular behavior at low temperatures and allow to characterize the different strongly correlated regimes of the device.", "revisions": [ { "version": "v1", "updated": "2015-07-14T17:08:59.000Z" } ], "analyses": { "keywords": [ "quantum dot arrays", "underscreened kondo behavior", "central quantum dot", "ferromagnetic kondo model", "two-stage kondo effect" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }