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A new eight-vertex model with an infinite number of commensurate phases

Journal of Mathematical Physics, ISSN: 0022-2488, Vol: 29, Issue: 12, Page: 2682-2687
1988
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Article Description

A symmetric eight-vertex model, containing four even vertices with real weights and four odd vertices with imaginary weights, is found to exhibit an infinite number of commensurate phases. The phase diagram is conjectured to be a complete devil's staircase similar to that of certain one-dimensional systems. Associated naturally with the model are two diffeomorphic one-dimensional maps whose asymptotic trajectories are either stable cycles or intermittently chaotic, depending on the phase. © 1988 American Institute of Physics.

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