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Roughening behavior of a one-dimensional crystal surface with inverse square potential

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  • Slurink, J.
  • Hilhorst, H.J.

Abstract

The discrete Gaussian chain with inverse square potential—which models a one-dimensional crystal surface—is studied by Monte-Carlo methods. The system is found to undergo a roughening transition, and the temperature-dependent correlation function exponent η(T) is shown to be discontinous at the critical point. These results can be transposed to the metal-insulator transition of a one-dimensional plasma of logarithmically interacting charges.

Suggested Citation

  • Slurink, J. & Hilhorst, H.J., 1983. "Roughening behavior of a one-dimensional crystal surface with inverse square potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 120(3), pages 627-634.
    • Handle: RePEc:eee:phsmap:v:120:y:1983:i:3:p:627-634
    DOI: 10.1016/0378-4371(83)90072-9
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