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Reprint of : Measuring the Luttinger liquid parameter with shot noise
Institution:1. Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany;2. Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany;3. L. D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia;4. Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel;5. Petersburg Nuclear Physics Institute, 188300 St. Petersburg, Russia;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. 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. 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. 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. Mesoscopic and Multilayer Structures Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon;2. Department of Physics, Higher Teachers’ Training College, The University of Maroua, Maroua, Cameroon
Abstract:We explore the low-frequency noise of interacting electrons in a one-dimensional structure (quantum wire or interaction-coupled edge states) with counterpropagating modes, assuming a single channel in each direction. The system is driven out of equilibrium by a quantum point contact (QPC) with an applied voltage, which induces a double-step energy distribution of incoming electrons on one side of the device. A second QPC serves to explore the statistics of outgoing electrons. We show that measurement of a low-frequency noise in such a setup allows one to extract the Luttinger liquid constant K which is the key parameter characterizing an interacting 1D system. We evaluate the dependence of the zero-frequency noise on K and on parameters of both QPCs (transparencies and voltages).
Keywords:Luttinger liquid  Quantum Hall edges  Shot noise
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