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Effect of an ac field on the conductance fluctuations for mescoscopic systems
Institution:1. Department of Physics and Astronomy, Hunter College of CUNY and the Graduate School, 695 Park Avenue, New York, NY 10021, USA;2. Asea Brown Boveri, Corporate Research, CH-5405, Baden-Dattwil, Switzerland;1. Department of Chemistry, Soongsil University, Seoul 156-743, Republic of Korea;2. Department of Physics, Sogang University, Seoul 121-742, Republic of Korea;3. School of Systems Biomedical Science, Soongsil University, Sangdo-dong, Dongjak-gu, Seoul, Republic of Korea;4. Department of Chemistry, Gachon University, Seongnam 461-701, Republic of Korea;5. Gachon Medical Research Institute, Gil Medical Center, Inchon 405-760, Republic of Korea;6. Department of Bionano Technology, Hanyang University, Ansan 426-791, Republic of Korea;7. College of Veterinary Medicine, Seoul National University, Seoul 156-743, Republic of Korea;8. Molecular-level Interface Research Center and Department of Chemistry, KAIST, Daejeon 305-701, Republic of Korea;1. Department of Chemistry and Chemical Biology, McMaster University, Hamilton, ON L8S 4M1, Canada;2. School of Life Sciences, University of Nevada at Las Vegas, Las Vegas, NV 89154-4004, USA
Abstract:With the use of perturbation theory to perform impurity averaging, the conductance fluctuations (CF) in mesoscopic systems are evaluated at finite frequency (ω) of the applied electric field. Calculations are carried out for frequencies much smaller than the inverse elastic mean free time, ωτel−1. It is shown that the CF decrease monotonically as ω increases. Also, the frequency scale over which this decrease occurs is given by τdiff−1τel−1, where τdiff is the time for an electron to diffuse across the sample. This means that the universality of the CF at zero frequency is not preserved at finite frequency. These calculations are for a rectangular prism. Six leads covering the probe faces are attached to the cube. It is also shown that at finite frequency the sample-to-sample CF have the same size as the fluctuations of a given sample as a function of frequency.
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