Formation of limit-periodic structures by quadrupole particles confined to a triangular lattice.

Journal Article

We have performed Monte Carlo (MC) simulations on two-dimensional systems of quadrupole particles confined to a triangular lattice in order to determine the conditions that permit the formation of a limit-periodic phase. We have found that limit-periodic structures form only when the rotations of the particles are confined to a set of six orientations aligned with the lattice directions. Related structures including striped and unidirectional rattler phases form when π/π66 rotations or continuous rotations are allowed. Order parameters signaling the formation of the limit-periodic structure and related structures are measured as a function of temperature. Our findings on the formation of the limit-periodic structure elucidate features relevant to the experimental creation of such a structure, which is expected to have interesting vibrational and electromagnetic modes.

Full Text

Duke Authors

Cited Authors

  • Rutkowski, DM; Marcoux, C; Socolar, JES; Hall, CK

Published Date

  • January 10, 2017

Published In

Volume / Issue

  • 95 / 1-1

Start / End Page

  • 012604 -

PubMed ID

  • 28208436

Pubmed Central ID

  • 28208436

Electronic International Standard Serial Number (EISSN)

  • 2470-0053

International Standard Serial Number (ISSN)

  • 2470-0045

Digital Object Identifier (DOI)

  • 10.1103/physreve.95.012604


  • eng