Exact Solution of Frenkel-Kontorova Models with a Complete Devil's Staircase in Higher Dimensions
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
We solve exactly a class of Frenkel-Kontorova models with piecewise parabolic potential, which has sub-wells in a period. With careful analysis, we show that the phase diagram of the minimum enthalpy configurations exhibits the structure of a complete -dimensional devil's staircase. The winding number of a minimum enthalpy configuration is locked to rational values, while the fraction of atoms in each sub-well is locked to values which are sub-commensurable with the winding number.
Keywords
Cite
@article{arxiv.solv-int/9607001,
title = {Exact Solution of Frenkel-Kontorova Models with a Complete Devil's Staircase in Higher Dimensions},
author = {Hsien-chung Kao and Shih-Chang Lee and Wen-Jer Tzeng},
journal= {arXiv preprint arXiv:solv-int/9607001},
year = {2008}
}
Comments
14 pages, uses revtex. Four figures included