Topological phase transition of a fractal spin system: The relevance of the network complexity | Zendy

Felipe Torres | Zendy; José Rogan | Zendy; Miguel Kiwi | Zendy; J. A. Valdivia | Zendy

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Topological phase transition of a fractal spin system: The relevance of the network complexity

Author(s) -

Felipe Torres,

José Rogan,

Miguel Kiwi,

J. A. Valdivia

Publication year - 2016

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4942826

Subject(s) - topology (electrical circuits) , ising model , phase transition , fractal , statistical physics , fractal dimension , partition function (quantum field theory) , physics , complex system , spin (aerodynamics) , complex network , condensed matter physics , mathematics , computer science , quantum mechanics , combinatorics , mathematical analysis , thermodynamics , artificial intelligence

A new type of collective excitations, due to the topology of a complex random network that can be characterized by a fractal dimension D-F, is investigated. We show analytically that these excitations generate phase transitions due to the non-periodic topology of the D-F > 1 complex network. An Ising system, with long range interactions, is studied in detail to support the claim. The analytic treatment is possible because the evaluation of the partition function can be decomposed into closed factor loops, in spite of the architectural complexity. The removal of the infrared divergences leads to an unconventional phase transition, with spin correlations that are robust against thermal fluctuations. (C) 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License

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