Communicating through a sea of frustration: Zeroerature triangular Ising antiferromagnet on a cylinder

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number032107
JournalPhysical Review E
Volume98
Issue number3
DOIs
StatePublished - Sep 6 2018

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Communicating through a sea of frustration: Zeroerature triangular Ising antiferromagnet on a cylinder'. Together they form a unique fingerprint.

  • Cite this