Infinitely robust order and local order-parameter tulips in Apollonian networks with quenched disorder

For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persistence of ordered phases up to infinite temperature over the entire range of disorder. We develop a renormalization-group...

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Detalhes bibliográficos
Principais autores: Kaplan, C. Nadir, Hinczewski, Michael, Berker, A. Nihat
Outros Autores: Massachusetts Institute of Technology. Department of Physics
Formato: Artigo
Idioma:en_US
Publicado em: American Physical Society 2010
Acesso em linha:http://hdl.handle.net/1721.1/51768
https://orcid.org/0000-0002-5172-2172
Descrição
Resumo:For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persistence of ordered phases up to infinite temperature over the entire range of disorder. We develop a renormalization-group technique that yields highly detailed information, including the exact distributions of local magnetizations and local spin-glass order parameters, which turn out to exhibit, as function of temperature, complex and distinctive tulip patterns.