Various series expansions for a Heisenberg antiferromagnet model for SrCu$_2$(BO$_3$)$_2$

Details Various series expansions for a Heisenberg antiferromagnet model for SrCu$_2$(BO$_3$)$_2$ Various series expansions for a Heisenberg antiferromagnet model for SrCu$_2$(BO$_3$)$_2$

1998-11-03

arxiv.org/abs/cond-mat/9811030v1

Physics

Condensed Matter

Strongly Correlated Electrons

RevTeX, 13 figures

Scientific paper

10.1103/PhysRevB.60.6608

We use a variety of series expansion methods at both zero and finite temperature to study an antiferromagnetic Heisenberg spin model proposed recently by Miyahara and Ueda for the quasi two-dimensional material SrCu$_2$(BO$_3$)$_2$. We confirm that this model exhibits a first-order quantum phase transition at T=0 between a gapped dimer phase and a gapless N\'eel phase when the ratio $x=J'/J$ of nearest and next-nearest neighbour interactions is varied, and locate the transition at $x_c=0.691(6)$. Using longer series we are able to give more accurate estimates of the model parameters by fitting to the high temperature susceptibility data.

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