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Phase diagram of the frustrated spatially-anisotropic S = 1 antiferromagnet on a square lattice

机译:方格上受挫的空间各向异性S = 1反铁磁体的相图

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We study the S= 1 square lattice Heisenberg antiferromagnet with spatially anisotropic nearest-neighbor couplings J_(1x) and J_(1y) frustrated by a next-nearest-neighbor coupling J_2 numerically using the density-matrix renormalization-group (DMRG) method and analytically employing the Schwinger-Boson mean-field theory (SBMFT). Up to relatively strong values of the anisotropy, within both methods we find quantum fluctuations to stabilize the Neel-ordered state above the classically stable region. Whereas SBMFT suggests a fluctuation-induced first-order transition between the Neel state and a stripe antiferromagnet for 1/3 ≤ J_(1x)/J_(1y) ≤ 1 and an intermediate paramagnetic region opening only for very strong anisotropy, the DMRG results clearly demonstrate that the two magnetically ordered phases are separated by a quantum-disordered region for all values of the anisotropy with the remarkable implication that the quantum paramagnetic phase of the spatially isotropic J_1-J_2 model is continuously connected to the limit of decoupled Haldane spin chains. Our findings indicate that for S= 1 quantum fluctuations in strongly frustrated antiferromagnets are crucial and not correctly treated on the semiclassical level.
机译:我们使用密度矩阵重归一化组(DMRG)方法和数值研究了空间各向异性的最近邻耦合J_(1x)和J_(1y)的S = 1方格海森堡反铁磁体,该耦合受下一近邻耦合J_2挫败。在分析上采用了Schwinger-Boson平均场理论(SBMFT)。在两种方法中,直到各向异性的相对较强的值,我们都发现了量子波动来稳定经典稳定区域上方的Neel有序态。 SBMFT表明,当1/3≤J_(1x)/ J_(1y)≤1且中间顺磁区域仅对非常强的各向异性开放时,Neel状态和条纹反铁磁体之间会发生波动诱导的一阶跃迁,而DMRG结果清楚地表明,对于各向异性的所有值,两个磁有序相被一个量子无序区隔开,这具有明显的含义,即空间各向同性J_1-J_2模型的量子顺磁相连续连接到解耦的Haldane自旋链的极限。我们的发现表明,对于S = 1,强受挫反铁磁体中的量子涨落至关重要,并且在半经典水平上没有得到正确处理。

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