Phase transitions in the Shastry-Sutherland lattice

Abstract

Two recently developed theoretical approaches are applied to the Shastry-Sutherland lattice, varying the ratio $J^{\prime }/J$ between the couplings on the square lattice and on the oblique bonds. A self-consistent perturbation, starting from either Ising or plaquette bond singlets, supports the existence of an intermediate phase between the dimer phase and the Ising phase. This existence is confirmed by the results of a renormalized excitonic method. This method, which satisfactorily reproduces the singlet triplet gap in the dimer phase, confirms the existence of a gapped phase in the interval $0.66<J^{\prime }/J<0.86$

Submited for publication in Phys. Rev. B

References in corpus (11)

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Cited by in corpus (12)

• Frustration and the Kondo effect in heavy fermion materials
• Observation of a 4-spin Plaquette Singlet State in the Shastry-Sutherland compound SrCu2(BO3)2
• Spin Liquids and Antiferromagnetic Order in the Shastry-Sutherland-Lattice Yb${}_2$Pt${}_2$Pb
• Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems
• Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
• Sign-switching of dimer correlations in SrCu${}_2$(BO${}_3$)${}_2$ under hydrostatic pressure
• A renormalized excitonic method in terms of block excitations. Application to spin lattices
• Magnon Dispersion and Anisotropies in SrCu${}_2$(BO${}_3$)${}_2$
• Mott transition and Antiferromagnetic Metal on Shastry-Sutherland Lattice
• Exploring Contractor Renormalization: Tests on the 2-D Heisenberg Antiferromagnet and Some New Perspectives
• Single crystal synthesis and magnetic properties of a Shastry-Sutherland lattice compound BaNd2ZnS5
• Identifying topological order in the Shastry-Sutherland model via entanglement entropy