Phase Diagram of the quadrumerized Shastry-Sutherland Model

Abstract

We determine the phase diagram of a generalized Shastry-Sutherland model, using a combination of dimer- and quadrumer-boson methods and numerical exact diagonalization techniques. Along special lines in the parameter space the model reduces to the standard Shastry-Sutherland model, the 1/5-th depleted square lattice and the two-dimensional plaquette square lattice model. We study the evolution of the ordered phases found in the latter two unfrustrated models under the effect of frustration. Furthermore we present new exact diagonalization results for the Shastry-Sutherland model on clusters with up to 32 sites, supporting the existence of an intermediate gapped valence bond crystal phase with plaquette long-ranged order.

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References in corpus (15)

• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Quantum Phase Transitions in the Shastry-Sutherland Model for $\mathbf{SrC}{\mathbf{u}}_2(\mathbf{B}{\mathbf{O}}_3{)}_2$
• Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model
• Phase diagram of depleted Heisenberg model for CaV4O9
• Plaquette Resonating-Valence-Bond Ground State of CaV${}_4$O${}_9$
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• First order transition between magnetic order and valence-bond order in a 2D frustrated Heisenberg model
• Critical exponents of the quantum phase transition in a planar antiferromagnet
• Spin Gap in Two-Dimensional Heisenberg Model for CaV${}_4$O${}_9$
• Low-Lying Magnetic Excitation of the Shastry-Sutherland Model
• Origin of spin-gap in CaV${}_4$O${}_9$: effect of frustration and lattice distortion
• Planar pyrochlore: a strong-coupling analysis
• Competing Spin-Gap Phases in a Frustrated Quantum Spin System in Two Dimensions
• Numerical evidence for the spin-Peierls state in the frustrated quantum antiferromagnet
• Field theory for generalized Shastry-Sutherland models

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