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Title: Elastic lattice in an incommensurate background

Abstract

We study a harmonic triangular lattice, which relaxes in the presence of an incommensurate short-wavelength potential. Monte Carlo simulations reveal that the elastic lattice exhibits only short-ranged translational correlations, despite the absence of defects in either lattice. Extended orientational order, however, persists in the presence of the background. Translational correlation lengths exhibit approximate power-law dependence upon cooling rate and background strength. Our results may be relevant to Wigner crystals, atomic monolayers on crystals surfaces, and flux-line and magnetic bubble lattices.

Authors:
;  [1]
  1. Department of Physics and Astronomy, Lehman College, City University of New York, Bedford Park Boulevard West, Bronx, New York 10468-1589 (United States)
Publication Date:
OSTI Identifier:
6692556
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter; (United States)
Additional Journal Information:
Journal Volume: 51:1; Journal ID: ISSN 0163-1829
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRYSTAL LATTICES; RELAXATION; COMPUTERIZED SIMULATION; ELASTICITY; HARMONIC OSCILLATOR MODELS; MONTE CARLO METHOD; TWO-DIMENSIONAL CALCULATIONS; CALCULATION METHODS; CRYSTAL STRUCTURE; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; SIMULATION; TENSILE PROPERTIES; 665000* - Physics of Condensed Matter- (1992-)

Citation Formats

Dickman, R, and Chudnovsky, E M. Elastic lattice in an incommensurate background. United States: N. p., 1995. Web. doi:10.1103/PhysRevB.51.97.
Dickman, R, & Chudnovsky, E M. Elastic lattice in an incommensurate background. United States. https://doi.org/10.1103/PhysRevB.51.97
Dickman, R, and Chudnovsky, E M. 1995. "Elastic lattice in an incommensurate background". United States. https://doi.org/10.1103/PhysRevB.51.97.
@article{osti_6692556,
title = {Elastic lattice in an incommensurate background},
author = {Dickman, R and Chudnovsky, E M},
abstractNote = {We study a harmonic triangular lattice, which relaxes in the presence of an incommensurate short-wavelength potential. Monte Carlo simulations reveal that the elastic lattice exhibits only short-ranged translational correlations, despite the absence of defects in either lattice. Extended orientational order, however, persists in the presence of the background. Translational correlation lengths exhibit approximate power-law dependence upon cooling rate and background strength. Our results may be relevant to Wigner crystals, atomic monolayers on crystals surfaces, and flux-line and magnetic bubble lattices.},
doi = {10.1103/PhysRevB.51.97},
url = {https://www.osti.gov/biblio/6692556}, journal = {Physical Review, B: Condensed Matter; (United States)},
issn = {0163-1829},
number = ,
volume = 51:1,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 1995},
month = {Sun Jan 01 00:00:00 EST 1995}
}