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An Exact Finite Field Renormalization Group Calculation On A Two-Dimensional Fractal Lattice

Author

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  • J. F. NYSTROM

    (Department of Physics, PO Box 440903, University of Idaho, Moscow, ID 83844-0903, USA)

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.

Suggested Citation

  • J. F. Nystrom, 2000. "An Exact Finite Field Renormalization Group Calculation On A Two-Dimensional Fractal Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 257-275.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:02:n:s0129183100000249
    DOI: 10.1142/S0129183100000249
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