Constructing a gapless spin-liquid state for the spin-1/2 J(1)-J(2) Heisenberg model on a square lattice.
Constructing a gapless spin-liquid state for the spin-1/2 J(1)-J(2) Heisenberg model on a square lattice.
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DOI：
10.1103/physrevlett.111.037202
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发表时间：
2013-01
影响因子：
8.6
通讯作者：
Ling Wang;D. Poilblanc;Z. Gu;X. Wen;F. Verstraete
中科院分区：
文献类型：
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作者：
Ling Wang;D. Poilblanc;Z. Gu;X. Wen;F. Verstraete
我们构造了一类投影纠缠对态，这类纠缠对态就是同时具有短程价键和长程价键的共振价键波函数。与一个积极的优先共振价键模式，波函数被简化为生活在一个单参数变分空间。我们调整这个变分参数，使正方晶格上的阻挫自旋-1/2 J（1）-J（2）反铁磁海森堡模型的能量最小。以圆柱几何，我们能够构建四个拓扑部门的偶数或奇数的通量穿透圆柱和偶数或奇数的自旋边界上。不同拓扑扇区中的能量分裂随圆柱周长呈指数变化。我们发现一个幂律衰减的二聚体相关函数的环面上，和lnL校正的纠缠熵，表明在最佳参数的无隙自旋液相。
We construct a class of projected entangled pair states which is exactly the resonating valence bond wave functions endowed with both short range and long range valence bonds. With an energetically preferred resonating valence bond pattern, the wave function is simplified to live in a one-parameter variational space. We tune this variational parameter to minimize the energy for the frustrated spin-1/2 J(1)-J(2) antiferromagnetic Heisenberg model on the square lattice. Taking a cylindrical geometry, we are able to construct four topological sectors with an even or odd number of fluxes penetrating the cylinder and an even or odd number of spinons on the boundary. The energy splitting in different topological sectors is exponentially small with the cylinder perimeter. We find a power law decay of the dimer correlation function on a torus, and a lnL correction to the entanglement entropy, indicating a gapless spin-liquid phase at the optimum parameter.