• DOI:10.1103/PhysRevB.85.144414
• Corpus ID: 119230081

Corrections to Pauling residual entropy and single tetrahedron based approximations for the pyrochlore lattice Ising antiferromagnet

@article{Singh2011CorrectionsTP,
  title={Corrections to Pauling residual entropy and single tetrahedron based approximations for the pyrochlore lattice Ising antiferromagnet},
  author={Rajiv R. P. Singh and Jaan Oitmaa},
  journal={Physical Review B},
  year={2011},
  volume={85}
}

• Rajiv R. P. Singh, J. Oitmaa
• Published 19 December 2011
• Physics
• Physical Review B

We study corrections to single tetrahedron based approximations for the entropy, specific heat and uniform susceptibility of the pyrochlore lattice Ising antiferromagnet, by a Numerical Linked Cluster (NLC) expansion. In a tetrahedron based NLC, the first order gives the Pauling residual entropy of ${1\over 2}\log{3\over 2}\approx 0.20273$. A 16-th order NLC calculation changes the residual entropy to 0.205507 a correction of 1.37 percent over the Pauling value. At high temperatures, the accuracy of the calculations is verified by a high temperature series expansion. We find the corrections to the single tetrahedron approximations to be at most a few percent for all the thermodynamic properties.