Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling

TL;DR

This paper investigates the fractional magnetization plateaux in a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice, revealing effective interactions and potential bound triplon phases using a novel perturbation approach.

Contribution

It introduces a new many-body perturbation theory to accurately model magnetization plateaux and bound triplon phases in the Shastry-Sutherland lattice.

Findings

Reproduces 1/8, 1/6, and 1/4 magnetization plateaux.

Identifies effective interactions with extended hard-core repulsion.

Suggests existence of a bound triplon quantum phase.

Abstract

Spin-1/2 Heisenberg model on the Shastry-Sutherland lattice is considered within the many-body perturbation theory developed from the exactly solved spin-1/2 Ising-Heisenberg model with the Heisenberg intradimer and Ising interdimer interactions. The former model is widely used for a description of magnetic properties of the layered compound SrCu$_2$(BO$_3$)$_2$, which exhibits a series of fractional magnetization plateaux at sufficiently low temperatures. Using the novel type of many-body perturbation theory we have found the effective model of interacting triplet excitations with the extended hard-core repulsion, which accurately recovers 1/8, 1/6 and 1/4 magnetization plateaux for moderate values of the interdimer coupling. A possible existence of a striking quantum phase of bound triplons is also revealed at low enough magnetic fields.