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Analytic solution of the renormalization equations of the Kosterlitz-Thouless transition
Affiliation:1. Tribology Research Institute, Key Laboratory of Advanced Technologies of Materials (Ministry of Education), Southwest Jiaotong University, Chengdu 610031, Sichuan Province, PR China;2. Department of Electronic & Electrical Engineering, University College London, Torrington Place, London WC1E 7JE, UK;1. Department of Hematology and Medical Oncology, Cleveland Clinic Taussig Cancer Institute, Cleveland, OH;2. Department of Medicine, Brigham and Women’s Hospital, Boston, MA;3. Department of Internal Medicine, Section of Hematology Oncology, Tulane University Medical School, New Orleans, LA;4. Department of Internal Medicine, Section of Hematology Oncology, Vanderbilit University, Nashville, TN;5. Department of Hematology Oncology, University Hospitals Seidman Cancer Center. Case Comprehensive Cancer Center, Cleveland, OH;1. Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, MA 01003-9305, USA;2. Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany;3. Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87544, United States;1. Institute of Electronics and Photonics, FEI STU, Ilkovičova 3, SK-812 19 Bratislava, Slovakia;2. New Technologies-Research Centre, University of West Bohemia, Univerzitní 8, 30614 Plzeň, Czech Republic
Abstract:The Kosterlitz-Thouless renormalization equations are shown to have an analytic solution, for the whole range of their validity. The solution enables us to express one of the previously unknown parameters used for flux-flow resistance in thin film superconductors, in term of the parameters of the Kosterlitz-Thouless transition.
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