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Lattice on Lattice in Two Dimensions

1994/02/25 by Ronald Dickman, Dickman, Ronald, Eugene M. Chudnovsky +1
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Rings, Modules, and Algebras #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9402105

12 pages, LaTeX + four figures on request

arxiv created 1994/02/25 · openalex publication_date 1994/02/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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