Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half filling using the infinite-system density matrix renormalization group (iDMRG) method. On infinite cylinders with finite circumference, we identify an intermediate phase between observed metallic behavior at low interaction strength and Mott insulating spin-ordered behavior at strong interactions. Chiral ordering from spontaneous breaking of time-reversal symmetry, a fractionally quantized spin Hall response, and characteristic level statistics in the entanglement spectrum in the intermediate phase provide strong evidence for the existence of a chiral spin liquid in the full two-dimensional limit of the model.

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三角晶格哈伯德模型的手性自旋液相：密度矩阵重整化群研究

受实验研究的启发，发现有机晶体中具有量子自旋液相的特征，有机晶体的结构由二维三角晶格很好地描述，我们使用无限系统密度矩阵重归一化组研究了半填充时该晶格的Hubbard模型（iDMRG）方法。在具有有限周长的无限圆柱上，我们确定了在低相互作用强度下观察到的金属行为与在强相互作用下观察到的Mott绝缘自旋有序行为之间的中间相。自发地打破时间反转对称性，部分量化的自旋霍耳响应和中间相纠缠谱中的特征能级统计表明，手性有序提供了强有力的证据，证明在整个二维范围内手性自旋液体的存在模型。