Semiclassical theory of persistent current fluctuations in ballistic chaotic rings |
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| Institution: | 1. Dahlem Center for Complex Quantum Systems and Physics Department, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany;2. Niels Bohr International Academy, and the Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark;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. 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 |
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| Abstract: | The persistent current in a mesoscopic ring has a Gaussian distribution with small non-Gaussian corrections. Here we report a semiclassical calculation of the leading non-Gaussian correction, which is described by the three-point correlation function. The semiclassical approach is applicable to systems in which the electron dynamics is ballistic and chaotic, and includes the dependence on the Ehrenfest time. At small but finite Ehrenfest times, the non-Gaussian fluctuations are enhanced with respect to the limit of zero Ehrenfest time. |
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| Keywords: | Quantum transport Quantum chaos Mesoscopic physics |
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