Shastry-Sutherland晶格上自旋1/2海森堡模型的分数磁化平台:量子XY二聚体间耦合的影响
Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling
摘要:
在多体微扰理论的框架下,研究了Shastry-Sutherland格点上自旋为1/2的海森堡模型.前一个模型被广泛用于描述层状化合物SrCu $_2$(BO $_3$)$_2$的磁性,其在足够低的温度下表现出一系列分数磁化平台。使用新类型的多体微扰理论,我们已经找到了有效的相互作用的三重态激发模型与扩展的硬核排斥,准确地恢复1/8,1/6和1/4的磁化平台的二聚体间的耦合的中等值。在足够低的磁场下,还揭示了束缚三重子可能存在显著的量子相位。
英文摘要:
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.
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