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arXiv 1311.0004cond-mat.str-elcond-mat.stat-mech
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层状立方晶格中两种不同的自旋液体态

Two distinct spin liquid states in a layered cubic lattice

Jin Xu, K. S. D. Beach

摘要:

我们构建了一个家庭的短程共振价键波函数上的层状立方晶格,允许一个可调的各向异性的幅度分配给最近邻价键沿一个轴。蒙特卡罗模拟表明,四个阶段是稳定的各向异性参数的整个范围内。它们通过一系列连续的量子相变而彼此分离。一个反铁磁相,以完美的各向同性点为中心,介于两个不同的量子自旋液体状态之间。其中之一是连续变形的二维U(1)自旋液体,这是已知的关键键相关。另一个具有自旋和键相关性,呈指数衰减。这个第二阶段的存在证明,与预期相反,二分晶格结构和传统的马歇尔符号规则都不是实现完全带隙的量子自旋液体的障碍。

英文摘要:

We construct a family of short-range resonating-valence-bond wave functions on a layered cubic lattice, allowing for a tunable anisotropy in the amplitudes assigned to nearest-neighbour valence bonds along one axis. Monte Carlo simulations reveal that four phases are stabilized over the full range of the anisotropy parameter. They are separated from one another by a sequence of continuous quantum phase transitions. An antiferromagnetic phase, centred on the perfect isotropy point, intervenes between two distinct quantum spin liquid states. One of them is continuously deformable to the two-dimensional U(1) spin liquid, which is known to exhibit critical bond correlations. The other has both spin and bond correlations that decay exponentially. The existence of this second phase is proof that, contrary to expectations, neither a bipartite lattice structure nor a conventional Marshall sign rule is an impediment to realizing a fully gapped quantum spin liquid.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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