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Magnetic order-disorder transition in the two-dimensional spatially anisotropic Heisenberg model at zero temperature

机译:零温度下二维空间各向异性Heisenberg模型中的磁有序无序跃迁

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The ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model with spatially anisotropic couplings on a square lattice are investigated by a spin-rotation-invariant Green's-function approach and by Lanczos diagonalizations on lattices up to 36 sites supplemented by finite-size scaling. We focus on the anisotropy-driven transition from the Neel state to a paramagnetic state with antiferromagnetic short-range order and on the spatial dependence of spin correlation functions. Out principal result is that a rather sharp crossover in the magnetic behavior occurs at the coupling ratio R(0)similar or equal to 0.2(R=J(y)/J(x)). [S0163-1829(99)03537-7]. [References: 21]
机译:通过自旋旋转不变格林函数方法以及对不超过36个点的晶格进行Lanczos对角化研究,并在有限格数的基础上补充了有限元法,对自旋1/2反铁磁Heisenberg模型的基态性质进行了研究,该模型在方格上具有空间各向异性。尺寸缩放。我们专注于各向异性驱动的从Neel态到具有反铁磁短程顺序的顺磁态的跃迁以及自旋相关函数的空间依赖性。主要结果是,在耦合比R(0)接近或等于0.2(R = J(y)/ J(x))时,磁性能发生了相当尖锐的交叉。 [S0163-1829(99)03537-7]。 [参考:21]

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