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arXiv · 1211.6972

Entropic commensurate-incommensurate transition

Nikolai Nikola·Daniel Hexner·Dov Levine
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Abstract

The equilibrium properties of a minimal tiling model are investigated. The model has extensive ground state entropy, with each ground state having a quasiperiodic sequence of rows. It is found that the transition from the quasiperiodic ground state to the high temperature disordered phase proceeds through a sequence of periodic arrangements of rows, in analogy with the Frenkel-Kontorova model, but with temperature playing the role of the strength of the substrate potential.

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Nikolai Nikola, Daniel Hexner, Dov Levine. 2012-11-29. Entropic commensurate-incommensurate transition. https://doi.org/10.1103/physrevlett.110.125701

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