论文标题

So(3)对称性的堆叠沮丧的旋转模型中的三态POTTS列序

Three-state Potts nematic order in stacked frustrated spin models with SO(3) symmetry

论文作者

Nedić, Ana-Marija, Quito, Victor L., Sizyuk, Yuriy, Orth, Peter P.

论文摘要

我们提出了沮丧的二维晶格设计,因此(3)由反铁磁(AFM)三角形和铁磁(FM)六倍的对称sublattices组成的对称自旋模型实现了新兴的Z3 potts nematic nematic nematic rorder。考虑到双线性 - 生物 - 生物自旋相互作用,我们的模型描述了由FM耦合的sublattice引起的波动磁化的SO(3) - 对称三角形晶格AFM。我们专注于经典的AFM-FM风车模型,并使用Monte Carlo模拟和分析计算来绘制零和有限温度的相图。我们在铁磁性的三个公共式上方上下底层状态上方发现了一个具有复合potts nematic序列的状态,并将其与So(3)破裂的Heisenberg和外部磁场中的Ising AFMS相关联。最后,我们表明,我们模型中的生物界面交换会自动通过纯双线性海森贝格模型中的热和量子波动引起,从而简化了实验实现这些晶格设计的要求。

We propose stacked two-dimensional lattice designs of frustrated and SO(3) symmetric spin models consisting of antiferromagnetic (AFM) triangular and ferromagnetic (FM) sixfold symmetric sublattices that realize emergent Z3 Potts nematic order. Considering bilinear-biquadratic spin interactions, our models describe an SO(3)-symmetric triangular lattice AFM subject to a fluctuating magnetization arising from the FM coupled sublattice. We focus on the classical AFM-FM windmill model and map out the zero- and finite-temperature phase diagram using Monte Carlo simulations and analytical calculations. We discover a state with composite Potts nematic order above the ferrimagnetic three-sublattice up-up-down ground state and relate it to Potts phases in SO(3)-broken Heisenberg and Ising AFMs in external magnetic fields. Finally, we show that the biquadratic exchange in our model is automatically induced by thermal and quantum fluctuations in the purely bilinear Heisenberg model, easing the requirements for realizing these lattice designs experimentally.

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