Frenkel-Kontorova model with pinning cusps

Hsien Chung Kao, Shih Chang Lee, Wen Jer Tzeng

研究成果: 雜誌貢獻文章同行評審

4 引文 斯高帕斯(Scopus)


A Frenkel-Kontorova model with a piecewise concave parabolic potential with downward cusps such that atoms could be pinned at the potential minima is exactly solved. An infinite series of first-order transitions, which may be understood as the dissociation of a large "molecule" into two smaller ones, is found as the strength of the potential increases from zero. The minimum energy configurations need not have a well-defined winding number. Given the winding number, the ground state configurations in general are highly degenerate and it is shown that one of them can be depicted by an increasing hull function. A novel type of non-recurrent minimum energy configuration, which may be viewed as defects carrying "fractional charge", exists.

頁(從 - 到)30-42
期刊Physica D: Nonlinear Phenomena
出版狀態已發佈 - 1997 一月 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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