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Measuring the Luttinger liquid parameter with shot noise
Affiliation: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. Institute of Physics, National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine;2. Research Physico-Technical Institute, State University of Nizhni Novgorod, 603950 Nizhni Novgorod, Russia;1. Institut de Physique et de Chimie des Matériaux de Strasbourg, Université de Strasbourg, CNRS UMR 7504, 23 rue du Loess, BP 43, F-67034 Strasbourg Cedex 2, France;2. Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, Albertstr. 19, D-79104 Freiburg, Germany;1. Centro de Física de Materiales, Centro Mixto CSIC-UPV/EHU, Paseo Manuel de Lardizabal 5, E-20018 Donostia-San Sebastián, Spain;2. Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal 4, E-20018 Donostia-San Sebastián, Spain;3. IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain;4. Departamento de Química-Física, UPV/EHU, Apartado 644, 48080 Bilbao, Spain;5. Department of Physics, Shanghai University, 200444 Shanghai, People''s Republic of China
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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