重新审视三角晶格上的$J_1$-$J_2$ Ising模型：准简并基态和相竞争
Revisiting the $J_1$-$J_2$ Heisenberg Model on a Triangular Lattice: Quasidegenerate Ground States and Phase Competition
AI总结：
研究通过高精度模拟揭示三角晶格$J_1$-$J_2$模型中两个基态在动态和静态性质上的显著差异，挑战了传统对量子自旋液体的理解。
摘要：
人们普遍认为，自旋-1/2三角晶格$J_1$-$J_2$ Heisenberg模型在$120^\circ$和条纹有序相之间中间区域存在量子自旋液体。对圆柱体的密度矩阵重整化群研究一致发现两个几乎简并的基态，通常被解释为不同的拓扑领域。使用最先进的矩阵产品态模拟在YC6圆柱体上，我们比较了这两个领域在$J_2/J_1 = 0.125$时的静态和动态性质。静态相关性中已经出现显著差异；此外，高分辨率动态结构因子揭示了质子不同低能激发。这些结果表明，这两个基态不能仅仅被理解为一个带隙$\mathbb{Z}_2$自旋液体的不同拓扑领域。
英文摘要：
It is generally believed that the spin-$\tfrac{1}{2}$ triangular-lattice $J_1$-$J_2$ Heisenberg model hosts a quantum spin liquid in the intermediate regime between the $120^\circ$ and stripe ordered phases. Density matrix renormalization group studies on cylinders have consistently found two nearly degenerate ground states, commonly interpreted as distinct topological sectors. Using state-of-the-art matrix product state simulations on YC6 cylinders, we compare the static and dynamical properties of these two sectors at $J_2/J_1 = 0.125$. Noticeable differences appear already in static correlations; moreover, high-resolution dynamical structure factors reveal qualitatively distinct low-energy excitations. These results suggest that the two ground states cannot be understood as merely topologically distinct sectors of a gapped $\mathbb{Z}_2$ spin liquid.
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