Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$

Abstract

We investigate the quantum phase transitions in the frustrated antiferromagnetic Heisenberg model for $\mathrm{SrC}{\mathrm{u}}_2(\mathrm{B}{\mathrm{O}}_3{)}_2$ by using the series expansion method. It is found that a novel spin-gap phase, which is adiabatically connected to the plaquette-singlet phase, exists between the dimer and the magnetically ordered phases known so far. When the ratio of the competing exchange couplings $\alpha (=J^{\prime }/J)$ is varied, this spin-gap phase exhibits the first- (second-) order quantum phase transition to the dimer (the magnetically ordered) phase at the critical point ${\alpha }_{c1}=0.677(2)$ (${\alpha }_{c2}=0.86(1)$). Our results shed light on some controversial arguments about the nature of the quantum phase transitions in this model.

4 pages, accepted for publication in Phys. Rev. Lett

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