Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice

Abstract

We use the non-perturbative Contractor-Renormalization method (CORE) in order to derive an effective model for triplet excitations on the Shastry-Sutherland lattice. For strong enough magnetic fields, various magnetization plateaux are observed, e.g. at 1/8, 1/4, 1/3 of the saturation, as found experimentally in a related compound. Moreover, other stable plateaux are found at 1/9, 1/6 or 2/9. We give a critical review of previous works and try to resolve some apparent inconsistencies between various theoretical approaches.

published version with minor changes

References in corpus (5)

• Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
• Field dependence of the quantum ground state in the Shastry-Sutherland system SrCu${}_2$(BO${}_3$)${}_2$
• Numerical Contractor Renormalization Method for Quantum Spin Models
• NMR evidence for the persistence of spin-superlattice above the 1/8 magnetization plateau in SrCu2(BO3)2
• Contractor-Renormalization approach to frustrated magnets in magnetic field

Cited by in corpus (4)

• Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice
• Theory of the field-induced BEC in the frustrated spin-1/2 dimer compound BaCuSi2O6
• ENCORE: An Extended Contractor Renormalization algorithm
• Reply to the Comment by S.E. Sebastian and N. Harrison