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Reprint of : Regular and singular Fermi liquid in triple quantum dots: Coherent transport studies
Institution:1. Institute of Molecular Physics, Polish Academy of Sciences, ul. M. Smoluchowskiego 17, 60-179 Poznań, Poland;2. Jožef Stefan Institute, Ljubljana, Slovenia;3. Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia;1. Univ. Grenoble Alpes, INAC-SPSMS, F-38000 Grenoble, France;2. CEA, INAC-SPSMS, F-38000 Grenoble, France;3. Department of Physics, College of William and Mary, Williamsburg, Virginia 23187, USA;4. Kavli Institute of NanoScience, Delft University of Technology, Lorentzweg 1, NL-2628 CJ, Delft, The Netherlands;1. Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy;2. Nano-Bio Spectroscopy Group, Departamento de Fìsica de Materiales, Universidad del Paìs Vasco UPV/EHU, E-20018 San Sebastiàn, Spain;1. Institut für Theoretische Festkörperphysik, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany;2. Institute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany;1. Université de Nice Sophia-Antipolis, INLN, CNRS, 06560 Valbonne, France;2. Institut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands;3. Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France;4. Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France
Abstract:A system of three coupled quantum dots in a triangular geometry (TQD) with electron–electron interaction and symmetrically coupled to two leads is analyzed with respect to the electron transport by means of the numerical renormalization group. Varying gate potentials this system exhibits extremely rich range of regimes with different many-electron states with various local spin orderings. It is demonstrated how the Luttinger phase changes in a controlled manner which then via the Friedel sum rule formula exactly reproduces the conductance through the TQD system. The analysis of the uncoupled TQD molecule from the leads gives a reliable qualitative understanding of various relevant regimes and an insight into the phase diagram with the regular Fermi liquid and singular-Fermi liquid phases.
Keywords:Kondo effect  Quantum dots  Singular-Fermi liquid
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