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Chiral Spin-Density Wave, Spin-Charge-Chern Liquid, and class='aps-inline-formula'>d+id Superconductivity in class

机译:显示手性自旋密度波,自旋电荷Char变液体和 class =“ aps-inline-formula”> d + i d class>中的超导

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Recently, two interesting candidate quantum phases—the chiral spin-density wave state featuring anomalous quantum Hall effect and the d+id superconductor—were proposed for the Hubbard model on the honeycomb lattice at 1/4 doping. Using a combination of exact diagonalization, density matrix renormalization group, the variational Monte?Carlo method, and quantum field theories, we study the quantum phase diagrams of both the Hubbard model and the t?J model on the honeycomb lattice at 1/4 doping. The main advantage of our approach is the use of symmetry quantum numbers of ground-state wave functions on finite-size systems (up to 32 sites) to sharply distinguish different quantum phases. Our results show that for 1?U/t<40 in the Hubbard model and for 0.1
机译:最近,有人提出了两个有趣的候选量子相—具有异常量子霍耳效应的手性自旋密度波态和d + id超导体—在1/4掺杂下用于蜂窝晶格上的Hubbard模型。结合精确对角化,密度矩阵重归一化组,变分蒙特卡洛方法和量子场论,我们研究了1/4掺杂下蜂窝晶格上的Hubbard模型和t?J模型的量子相图。 。我们方法的主要优点是在有限大小的系统(最多32个位置)上使用基态波函数的对称量子数来清晰地区分不同的量子相。我们的结果表明,对于Hubbard模型中的1?U / t <40和t?J模型中的0.1

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