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Lattice on Lattice in Two Dimensions

Ronald Dickman·Eugene M. Chudnovsky
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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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Ronald Dickman, Eugene M. Chudnovsky. 1994-02-25. Lattice on Lattice in Two Dimensions. https://arxiv.org/abs/cond-mat/9402105

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