Magnetization plateaux in an extended Shastry-Sutherland model
K.P. Schmidt, J. Dorier, and F. Mila

TL;DR
This paper investigates how additional couplings in an extended Shastry-Sutherland model influence magnetization plateaux, providing insights relevant to the quantum magnet SrCu2(BO3)2.
Contribution
It introduces an extended model with new couplings and analyzes their effects on magnetization plateaux using perturbative continuous unitary transformations.
Findings
Additional couplings modify triplon interactions and hopping.
Energy calculations suggest shifts in plateau stability.
Implications for experimental observations in SrCu2(BO3)2.
Abstract
We study an extended two-dimensional Shastry-Sutherland model in a magnetic field where besides the usual Heisenberg exchanges of the Shastry-Sutherland model two additional SU(2) invariant couplings are included. Perturbative continous unitary transformations are used to determine the leading order effects of the additional couplings on the pure hopping and on the long-range interactions between the triplons which are the most relevant terms for small magnetization. We then compare the energy of various magnetization plateaux in the classical limit and we discuss the implications for the two-dimensional quantum magnet SrCu(BO).
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