Exact solution of the spin-1/2 Ising model on the Shastry-Sutherland (orthogonal-dimer) lattice

TL;DR

This paper derives exact solutions for the spin-1/2 Ising model on the Shastry-Sutherland lattice using a star-triangle transformation, providing critical temperature and magnetization data.

Contribution

It introduces an exact mapping between the Shastry-Sutherland lattice and a bathroom tile lattice, enabling precise analysis of critical properties.

Findings

Exact critical temperature determined

Spontaneous magnetization calculated

Comparison with regular lattices provided

Abstract

A star-triangle mapping transformation is used to establish an exact correspondence between the spin-1/2 Ising model on the Shastry-Sutherland (orthogonal-dimer) lattice and respectively, the spin-1/2 Ising model on a bathroom tile (4-8) lattice. Exact results for the critical temperature and spontaneous magnetization are obtained and compared with corresponding results on the regular Ising lattices.