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On the tricritical point induced by random transverse fields
Institution:1. State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, PR China;2. School of Materials Science and Engineering, Northeastern University, Shenyang 110819, PR China;3. Welding Engineering and Laser Processing Centre, Cranfield University, Bedfordshire MK430AL, UK;4. Department of Applied Science, University of Quebec at Chicoutimi, Chicoutimi, Canada G7H2W9;1. University of Exeter, Northcote House, Exeter, EX4 4QJ, UK;2. University of Vienna, Universitätsring 1, 1010, Wien, Austria;3. British Broadcasting Corporation, Broadcasting House, London, W1A 1AA, UK;4. nainitadesai.com;5. chriswatson.net;6. Time Based Arts, Shoreditch Town Hall, 380 Old Street, London, EC1 V9LT, UK;7. Uppsala University, SE-751 05, Uppsala, Sweden;1. Norwegian University of Science and Technology, Department of Engineering Cybernetics, 7491 Trondheim, Norway;2. SINTEF Energy Research, 7465 Trondheim, Norway;1. CAS Key Laboratory for Biological Effects of Nanomaterials and Nanosafety, National Center for Nanoscience and Technology (NCNST), PR China;2. Beijing Key Laboratory of Function Materials for Molecule & Structure Construction, Department of Material Physics and Chemistry, School of Materials Science and Engineering, University of Science and Technology Beijing, PR China;3. Key Laboratory of Catalysis and Materials Science of the State Ethnic Affairs Commission & Ministry of Education, South-Central University for Nationalities, PR China;4. Faculty of Chemistry, Northeast Normal University Changchun, PR China;1. School of Materials Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, PR China;2. State Key Laboratory for Metallic Matrix Composite Materials, School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai, 200240, PR China;3. School of Materials Science and Engineering, Key Laboratory of Materials Processing and Mold (Zhengzhou University), Ministry of Education, Zhengzhou University, Zhengzhou, 450002, PR China;4. Integrated Composites Laboratory (ICL), Department of Chemical & Biomolecular Engineering, University of Tennessee, Knoxville, TN, 37996, USA
Abstract:In contradiction to a paper of Pirc it is shown that for a classical n-vector model with annealed random transverse fields only the second-order phase transition is possible and no tricritical points appear. The free energy functional for such systems is evaluated within the Landau theory.
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