论文标题
$ s = 1/2 $ kagome Heisenberg模型中可能的手性旋转液态
Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model
论文作者
论文摘要
$ s = 1/2 $ kagome Heisenberg Antiferromagnet（KHAF）的基态性质是难以捉摸的。我们重新审视了这个具有挑战性的问题，并提供了数值证据，表明其基态可能是手性旋转液体。结合了密度基质重新归一化的方法和分析分析，我们证明了先前观察到的与长距离耦合的KHAF中先前观察到的手性自旋液相在更广泛的区域稳定。我们通过计算能量衍生物来表征基态的性质，从而揭示了由于时间反转对称性的自发断裂而引起的基础状态，并瞄准了半扇形。我们进一步研究了KHAF附近的相图，并观察一个$ \ sqrt {3} \ times \ sqrt {3} $磁性有序相位和两个价值晶体相位。
The nature of the ground state for the $S = 1/2$ kagome Heisenberg antiferromagnet (KHAF) has been elusive. We revisit this challenging problem and provide numerical evidence that its ground state might be a chiral spin liquid. Combining the density matrix renormalization group method and analytical analyses, we demonstrate that the previously observed chiral spin liquid phase in the KHAF with longer-range couplings is stable in a broader region. We characterize the nature of the ground state by computing energy derivatives, revealing ground-state degeneracy arising from spontaneous breaking of time-reversal symmetry, and targeting the semion sector. We further investigate the phase diagram in the vicinity of the KHAF and observe a $\sqrt{3}\times\sqrt{3}$ magnetically ordered phase and two valence-bond crystal phases.
