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Phys. Rev. A 41, 5713–5716 (1990)

Ordering characterized by a strange attractor

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Bala Sundaram and Marek Cieplak
Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218

Jayanth R. Banavar
Department of Physics and Material Research Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802

Received 20 November 1989; published in the issue dated May 1990

Competing trends of ordering are shown to allow for a novel low-temperature phase in random-spin systems. In the space of the moments of the distribution of exchange couplings, the renormalization-group flows are characterized by a strange attractor. A random-exchange Potts model on hierarchical lattices is studied to illustrate this phenomenon.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.41.5713
DOI:
10.1103/PhysRevA.41.5713
PACS:
05.45.+b, 75.10.Nr, 64.60.Ak
 
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