The XY model and Kadanoff's variational real space renormalization group |
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| Institution: | 1. The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark;1. Institute for Advanced Study, Tsinghua University, Beijing 100084, China;2. Department of Physics, Peking University, Beijing 100871, China;3. Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;4. Collaborative Innovation Center of Quantum Matter, Beijing 100084, China;1. Institute of Physical Chemistry, Johannes Kepler University Linz, Altenberger Straße 69, 4040 Linz, Austria;2. Department of Business Administration, Economics and Law, Carl von Ossietzky University, Ammerländer Heerstraße 114-118, 26129 Oldenburg (Oldb), Germany;3. Potsdam Institute for Climate Impact Research, Telegrafenberg A 31, 14473 Potsdam, Germany;1. International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India;2. Zentrum Mathematik & Physik-Department, Technische Universität München, 85747 Garching, Germany |
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| Abstract: | The XY model in d dimensions is studied by means of a variational real space renormalization group transformation. Contrary to an earlier computation in the same framework for the d = 2 case, we find that a low order operator basis truncation is highly unstable. For certain values of the variational parameter p the renormalization group flow can display period doubling sequences towards a chaotic regime. The behavior in the d = 3 case is very similar. |
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