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Title: Classical triangular lattice antiferromagnetic Ising model as a free-fermion/superconductor system
Abstract

We present a treatment of the triangular lattice antiferromagnetic Ising model (TAFIM) based on a small number of elementary ideas common to statistical and solid-state physics. The TAFIM is represented as a reduced BCS model in one space, one (imaginary) time dimension. The representation is approximate for nonzero temperature, but allows quick derivation of asymptotically exact thermodynamic functions, and the divergence of the spin–spin correlation length. The fermionic representation is exact at zero temperature. We demonstrate the existence of a two-dimensional continuum of zero-temperature equilibrium macrostates characterized by satisfied bond fractions of the three different orientations, and calculate their entropy densities.

 
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NSF-PAR ID:
10408936
Author(s) / Creator(s):
; ;
Publisher / Repository:
IOP Publishing
Date Published:
Journal Name:
Journal of Physics A: Mathematical and Theoretical
Volume:
56
Issue:
20
ISSN:
1751-8113
Page Range / eLocation ID:
Article No. 205001
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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