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

David M. Rutkowski, Catherine Marcoux, Joshua E. S. Socolar, and Carol K. Hall
Phys. Rev. E 95, 012604 – Published 10 January 2017

Abstract

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.

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  • Received 19 September 2016

DOI:https://doi.org/10.1103/PhysRevE.95.012604

©2017 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterCondensed Matter, Materials & Applied Physics

Authors & Affiliations

David M. Rutkowski1, Catherine Marcoux2, Joshua E. S. Socolar2, and Carol K. Hall1,*

  • 1Department of Chemical and Biomolecular Engineering, North Carolina State University, Raleigh, North Carolina 27606, USA
  • 2Physics Department, Duke University, Durham, North Carolina 27708, USA

  • *hall@ncsu.edu

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Issue

Vol. 95, Iss. 1 — January 2017

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