English

Stiffness from Disorder in Triangular-Lattice Ising Thin Films

Strongly Correlated Electrons 2014-04-17 v3 Statistical Mechanics

Abstract

We study the triangular lattice Ising model with a finite number of vertically stacked layers and demonstrate a low temperature reentrance of two Berezinskii-Kosterlitz-Thouless transitions, which results in an extended disordered regime down to T=0T=0. Numerical results are complemented with the derivation of an effective low-temperature dimer theory. Contrary to order by disorder, we present a new scenario for fluctuation-induced ordering in frustrated spin systems. While short-range spin-spin correlations are enhanced by fluctuations, quasi-long-range ordering is precluded at low enough temperatures by proliferation of topological defects.

Keywords

Cite

@article{arxiv.1310.3468,
  title  = {Stiffness from Disorder in Triangular-Lattice Ising Thin Films},
  author = {Shi-Zeng Lin and Yoshitomo Kamiya and Gia-Wei Chern and Cristian D. Batista},
  journal= {arXiv preprint arXiv:1310.3468},
  year   = {2014}
}

Comments

8 pages, 8 figures; version 3; Replacement of "Reentrant Berezinskii-Kosterlitz-Thouless Transition in a Triangular Ising Thin Film" (http://arxiv.org/abs/1310.3468v2); published in Phys. Rev. Lett

R2 v1 2026-06-22T01:45:54.557Z