Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-12-19
Physics
Condensed Matter
Statistical Mechanics
4 pages, 5 figures, submitted to PRB
Scientific paper
We study the accuracy of single tetrahedron based approximations for the entropy, specific heat and uniform susceptibility of the pyrochlore lattice Ising antiferromagnet, by calculating its first corrections in a Numerical Linked Cluster (NLC) expansion. We show that these properties can be calculated by a star-graph expansion. In a tetrahedron based NLC, the first correction to a single-tetrahedron approximation arises from a cluster of 6 tetrahedra. This changes the T=0 entropy per site from ${1\over 2}\ln{3\over 2}\approx 0.20273$ to about 0.20410. At high temperatures, the accuracy of the calculations is verified by a high-order high temperature series expansion. We find the corrections to the single tetrahedron approximations to be less than one percent at all temperatures for the entropy and less than two percent for specific heat and susceptibility.
Oitmaa Jaan
Singh Rajiv R. P.
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