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

Sen, Diptiman
December 1988
Journal of Mathematical Physics;Dec88, Vol. 29 Issue 12, p2682
Academic Journal
A symmetric eight-vertex model, containing four even vertices with reak 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 aymptotic trajectories are either stable cycles or intermittently chaotic, depending on the phase.


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