2004/01/29 by Robert M. Konik, Robert Konik, Konik, Robert M.
Chemistry · Engineering · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Chemical and Physical Properties of Materials #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Surface and Thin Film Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/0401617
PRB revtex, 42 pages, 25 figures
arxiv created 2004/01/29 · openalex publication_date 2004/01/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the physics of transport through quantum dots in the presence of\ntwo tunneling paths. The first path sees electrons hopping on and off the dot\nwhile the second path is modeled through a potential scattering-like term. To\nstudy the effects of potential scattering, we employ a modified version of the\nAnderson model. Such a model can be exactly solved through the Bethe ansatz,\nthus allowing a comprehensive and exact analysis of the zero temperature linear\nresponse conductance. We find transport properties to be extremely sensitive to\nthe introduction of a potential scattering term. Indeed the presence of such a\nscattering term, inter alia, induces a series of first order quantum phase\ntransitions. Focusing on the Kondo regime of the quantum dot, the\nnon-perturbative effect of potential-like scattering can be directly tied to\nboth the breaking of particle-hole symmetry and the interlinking of charge and\nspin degrees of freedom in the Anderson model. The sensitivity to potential\nscattering is also reflected in a set of complementary exact diagonalization\ncomputations. The consequences of this analysis extends to observations in\ngeneral of Fano resonances in quantum dots as well as to the physics of\ntransport through quantum dots embedded in Aharonov-Bohm rings.\n