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Exotic quantum order in low-dimensional systems
Affiliation:1. Material Nanochemistry Laboratory, Physical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati, 781035, Assam, India;2. Academy of Scientific and Innovative Research (AcSIR), Ghaziabad, 201002, Uttar Pradesh, India;1. Department of Semiconductor Materials Engineering, Wroclaw University of Science and Technology, Wybrzee Wyspiaskiego 27, 50-370 Wrocaw, Poland;2. Department of Experimental Physics, Wroclaw University of Science and Technology, Wybrzee Wyspiaskiego 27, 50-370 Wrocaw, Poland;3. Department of Materials Science and Engineering, University of Wisconsin-Madison, 1509 University Ave., Madison, WI 53706, United States;1. Physics Division, Oak Ridge National Laboratory, Oak Ridge, 37830, TN, USA;2. Department of Physics and Astronomy, Vanderbilt University, Nashville, 37235, TN, USA;3. Department of Physics, Faculty of Science, University of Zagreb, 10000, Zagreb, Croatia;4. Department of Physics, Faculty of Science, Hokkaido University, 060-0810, Sapporo, Japan;5. Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA;6. Physics Department, Tsinghua University, Beijing, 100084, China;7. Joint Institute for Nuclear Research, Dubna, 141980, Russia;1. Laboratory of Energy and Environment, Department of Chemical and Food Engineering, Federal University of Santa Catarina, Florianópolis, Brazil;2. Bioinorganic and Crystallography Laboratory, Department of Chemistry, Federal University of Santa Catarina, Florianópolis, Brazil;1. Institute of Applied Physics and Würzburg-Dresden Cluster of Excellence ct.qmat, TUD Dresden University of Technology, Dresden, Germany;2. Ioffe Institute, Saint Petersburg, Russian Federation
Abstract:Strongly correlated quantum systems in low dimensions often exhibit novel quantum ordering. This ordering is sometimes hidden and can be revealed only by examining new “dual” types of correlations. Such ordering leads to novel collection modes and fractional quantum numbers. Examples will be presented from quantum spin chains and the quantum Hall effect.
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