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Renormalization group (RG) study of the Ising model on higher-dimensional (d>1) quasi-lattices
Institution:1. Dipartimento Biotecnologie Mediche, Università degli Studi di Siena, Siena, Italy;2. Dipartimento Scienze Mediche, Chirurgiche e Neuroscienze, Università degli Studi di Siena, Siena, Italy;3. Laboratorio di Patologia Clinica, Ospedale S. Antonio, Tolmezzo, Italy;4. Dipartimento di Medicina Molecolare e dello Sviluppo, Università degli Studi di Siena, Siena, Italy;5. Biblioteca Area Medico Farmaco Biologica, Università degli Studi di Siena, Siena, Italy;1. BioMedIA Group, Department of Computing, Imperial College London, 180 Queen’s Gate, London, SW7 2AZ, UK;2. Division of Brain Sciences, Department of Medicine, Imperial College London, UK;3. Graduate School of Informatics, Nagoya University, Japan;4. Aichi Cancer Centre, Japan;5. Nagoya University Hospital, Japan
Abstract:We suggest two model quasi-lattices in two and three dimensions and use the Migdal-Kadanoff renormalization group scheme to calculate the fixed points and the correlation length exponent ν. The results strongly support the conjecture that Ising models on periodic and quasi-periodic lattices belong to the same universality class.
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