论文标题
三角形晶格上S = 1/2的量子自旋液体的性质：平行DMRG研究
Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
论文作者
论文摘要
我们研究了三角晶格上的量子旋转液体（QSL）阶段的基本状态（QSL）阶段的基础特性，该模型与最近的（$ j_1 $），Next-Nearest-（$ j_2 $）和第三型neighbor（$ j_3 $）相互作用（$ J_3 $）相互作用（$ j_3 $）通过使用Densorge renorm compter（$ j_3 $）互动（$ j_3 $）。通过将平行DMRG与$ SU（2）$旋转对称性相结合，我们可以在长度高达$ l_x = 48 $和圆周$ l_y = 6-12 $的大缸上获得准确的结果。我们的结果表明，$ J_1 $ - $ J_2 $ HEISENBERG模型的QSL阶段的含量为特征，其特征是没有间隙模式，短距离自旋旋转和二聚体二聚体相关性。在存在$ j_3 $相互作用的情况下，我们发现出现了具有单个无间隙模式的新的关键QSL。虽然自旋旋转和标量性手性手续的相关性都是短距离的，但二聚体二聚体相关性是准长范围的，在长距离长范围内会衰减。
We study the ground-state properties of the quantum spin liquid (QSL) phases of the spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice with nearest- ($J_1$), next-nearest- ($J_2$), and third-neighbor ($J_3$) interactions by using density-matrix renormalization group (DMRG) method. By combining parallel DMRG with $SU(2)$ spin rotational symmetry, we are able to obtain accurate results on large cylinders with length up to $L_x=48$ and circumference $L_y=6 - 12$. Our results suggest that the QSL phase of the $J_1$-$J_2$ Heisenberg model is gapped which is characterized by the absence of gapless mode, short-range spin-spin and dimer-dimer correlations. In the presence of $J_3$ interaction, we find that a new critical QSL with a single gapless mode emerges. While both spin-spin and scalar chiral-chiral correlations are short-ranged, dimer-dimer correlations are quasi-long-ranged which decays as a power-law at long distances.
