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Transverse Magnetic Susceptibility of a Frustrated Spin-{formula} {formula} Heisenberg Antiferromagnet on a Bilayer Honeycomb Lattice

机译:在双层蜂窝晶格上的令人沮丧的旋转{公式} {公式} Heisenberg反霉菌的横向磁化率

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We use the coupled cluster method (CCM) to study a frustrated spin{formula} Heisenberg antiferromagnet on a bilayer honeycomb lattice with AA stacking. Both nearest-neighbor (NN) and frustrating next-nearest-neighbor antiferromagnetic (AFM) exchange interactions are present in each layer, with respective exchange coupling constants J_1> 0 and {formula}. The two layers are coupled with NN AFM exchanges with coupling strength {formula}. We calculate to high orders of approximation within the CCM the zero-field transverse magnetic susceptibility χ in the Néel phase. We thus obtain an accurate estimate of the full boundary of the Néel phase in the κδ plane for the zero-temperature quantum phase diagram. We demonstrate explicitly that the phase boundary derived from χ is fully consistent with that obtained from the vanishing of the Néel magnetic order parameter. We thus conclude that at all points along the Néel phase boundary quasiclassical magnetic order gives way to a nonclassical paramagnetic phase with a nonzero energy gap. The Néel phase boundary exhibits a marked reentrant behavior, which we discuss in detail.
机译:我们使用耦合的聚类方法(CCM)来研究与AA堆叠的双层蜂窝格子上的沮丧的旋转{Heisenberg antiferromagnet。每个层中的最近邻(NN)和令人沮丧的下一个最近邻的反铁磁(AFM)交换交互存在,各自的交换耦合常数J_1> 0和{公式}。两层与NN AFM交换耦合,具有耦合强度{公式}。我们在CCM内计算到Néel相中的零场横向磁敏度χ中的高近似次数。因此,我们在零温度量子相图中获得κδ平面中Néel相的全边界的精确估计。我们显着地证明了源于ψ的相位边界与从裸露的Néel磁性订单参数的消失中获得的相一致一致。因此,我们得出结论,在沿着Néel相边界的所有点,近似碱基磁场使有非零能量隙的非分类顺磁相。 Néel相边界表现出明显的重圈行为,我们详细讨论。

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