English

Lattice on Lattice in Two Dimensions

Condensed Matter 2007-05-23 v1

Abstract

We study a harmonic triangular lattice, which relaxes in the presence of a weak, short-wavelength periodic potential. Monte Carlo simulations reveal that the elastic lattice has only short-ranged positional correlations, despite the absence of defects in either lattice. Long-range orientational order, however, persists in the presence of the background. Our results provide an alternative explanation for the hexatic glassphase observed in high-temperature superconductors, magnetic bubble lattices, and charge density waves in semiconductors.

Keywords

Cite

@article{arxiv.cond-mat/9402105,
  title  = {Lattice on Lattice in Two Dimensions},
  author = {Ronald Dickman and Eugene M. Chudnovsky},
  journal= {arXiv preprint arXiv:cond-mat/9402105},
  year   = {2007}
}

Comments

12 pages, LaTeX + four figures on request

R2 v1 2026-07-22T11:47:05.611Z