Communicating through a sea of frustration: Zero-temperature triangular Ising antiferromagnet on a cylinder

Amir Nourhani, Vincent H. Crespi, and Paul E. Lammert
Phys. Rev. E 98, 032107 – Published 6 September 2018

Abstract

‘‘Communication” through the frustrated ground state of a classical triangular Ising antiferromagnet wrapped on a cylinder is studied via reformulation as imaginary-time evolution of a system of fermions on a ring, detailing a breakdown of the ordinary Perron-Frobenius scenario for disordered one-dimensional systems. For instance, constraint of the configuration at one cylinder end allows infinite-range, albeit partial, control of the state. Mutual information between end configurations under open boundary conditions, which measures the strength of the correlations, has an asymptotic decay with a complex dependence on cylinder circumference and spin (anti)periodicity. In some cases, the decay is not even exponential in length, but inverse square.

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  • Received 24 September 2017

DOI:https://doi.org/10.1103/PhysRevE.98.032107

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & ThermodynamicsInterdisciplinary Physics

Authors & Affiliations

Amir Nourhani1,2,*, Vincent H. Crespi1,2,3,4, and Paul E. Lammert1,2,†

  • 1Center for Nanoscale Science, Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 2Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 3Department of Materials Science and Engineering, Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 4Department of Chemistry, Pennsylvania State University, University Park, Pennsylvania 16802, USA

  • *nourhani@psu.edu
  • lammert@psu.edu

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Issue

Vol. 98, Iss. 3 — September 2018

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