School of Physics, Beijing Institute of Technology, Beijing, 100081, China.
Phys Rev Lett. 2012 Oct 5;109(14):147209. doi: 10.1103/PhysRevLett.109.147209.
Resonating valence bond (RVB) states are of crucial importance in our intuitive understanding of quantum spin liquids in 2D. We systematically classify short-range bosonic RVB states into symmetric or nematic spin liquids by examining their flux patterns. We further map short-range bosonic RVB states into projected BCS wave functions, on which we perform large-scale Monte Carlo simulations without the minus sign problem. Our results clearly show that both spin and dimer correlations decay exponentially in all the short-range frustrated (nonbipartite or Z2) bosonic RVB states we studied, indicating that they are gapped Z2 quantum spin liquids. Generically, we conjecture that all short-range frustrated bosonic RVB states in 2D have only short-range correlations.
共振价键（RVB）态在我们对二维量子自旋液体的直观理解中至关重要。我们通过检查其通量模式，将短程玻色 RVB 态系统地分类为对称或向列性自旋液体。我们进一步将短程玻色 RVB 态映射到投影 BCS 波函数上，并在其上进行大规模的蒙特卡罗模拟，而不会出现负号问题。我们的结果清楚地表明，在我们研究的所有短程受挫（非二分量或 Z2）玻色 RVB 态中，自旋和二聚体相关都呈指数衰减，这表明它们是有能隙的 Z2 量子自旋液体。一般来说，我们推测二维中所有短程受挫的玻色 RVB 态都只有短程相关性。
