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

Abstract

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 Néel phase when the ratio $x=J^{\prime }/J$ 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.

RevTeX, 13 figures

References in corpus (2)

• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Strong-coupling Expansions at Finite Temperatures: Application to Quantum Disordered and Quantum Critical Phases

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