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arXiv · 1906.12103

Sturmian ground states in classical lattice-gas models

Aernout van Enter·Henna Koivusalo·Jacek Miekisz
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Abstract

We construct for the first time examples of non-frustrated, two-body, infinite-range, one-dimensional classical lattice-gas models without periodic ground-state configurations. Ground-state configurations of our models are Sturmian sequences defined by irrational rotations on the circle. We present minimal sets of forbidden patterns which define Sturmian sequences in a unique way. Our interactions assign positive energies to forbidden patterns and are equal to zero otherwise. We illustrate our construction by the well-known example of the Fibonacci sequences.

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Aernout van Enter, Henna Koivusalo, Jacek Miekisz. 2019-06-28. Sturmian ground states in classical lattice-gas models. https://doi.org/10.1007/s10955-019-02464-4

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