On the quantum phase transition of a quantum Hall liquid |
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| Affiliation: | 1. Department of Physics, University of Ottawa, Ottawa, ON K1N 6N5, Canada;2. Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855, USA;1. Imdea Nanoscience, Faraday 9, 28015, Madrid, Spain;2. Department of Physics and Astronomy, University of Manchester, Manchester, M13 9PY, UK;3. Donostia International Physics Center, Paseo Manuel de Lardizábal 4, 20018, San Sebastián, Spain;1. Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;2. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;3. Songshan Lake Materials Laboratory, Dongguan 523808, China;4. Research Center for Functional Materials, National Institute for Materials Science, Tsukuba 305-0044, Japan;5. International Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba 305-0044, Japan;6. School of Physical Sciences and Technology, ShanghaiTech University, Shanghai 200031, China;7. ShanghaiTech Laboratory for Topological Physics, ShanghaiTech University, Shanghai 200031, China;1. Institute of Microelectronics Technology and High Purity Materials, Russian Academy of Sciences, Academician Osipyan Str. 6, 142432, Chernogolovka, Russia;2. Helmholtz-Zentrum Berlin für Materialien und Energie, Hahn-Meitner-Platz 1, Berlin, 14109, Germany |
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| Abstract: | It is shown that, in the absence of disorder, a quantum Hall liquid undergoes a second-order quantum phase transition as function of the applied magnetic field. The analysis is carried out in the framework of the Chem-Simons-Ginzburg-Landau theory which is shown to exhibit a nontrivial infrared stable fixed point. The corresponding critical exponents are found to be gaussian, and thus universal and independent of the filling fraction. |
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