AN EXACT FINITE FIELD RENORMALIZATION GROUP CALCULATION ON A TWO-DIMENSIONAL FRACTAL LATTICE

J. F. Nystrom ()
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J. F. Nystrom: Department of Physics, PO Box 440903, University of Idaho, Moscow, ID 83844-0903, USA

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 02, 257-275

Abstract: A two-dimensional fractal lattice, herein referred to as thetetrahedral gasket, is used as a model for an exact two-dimensional real-space renormalization group calculation. It is shown that this Ising spin-system has exact solutions which includes a nontrivial phase transition even in the presence of a finite field. The calculation also introduces a new analysis tool, the free energy surface plot, which gives further insight into the phase diagram of the spin-system. The discussion includes comments concerning the apparent preference of the system to maintain some finite entropy, even in the presence of an extremely large spin–spin coupling.

Keywords: Real-Space Renormalization Group; Ising Model; Fractal Lattice (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000249

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