论文标题
u（1） - 对称高斯费米式预测的纠缠配对状态及其gutzwiller投影
U(1)-symmetric Gaussian fermionic projected entangled paired states and their Gutzwiller projection
论文作者
论文摘要
我们开发了一种形式主义，用于构建粒子持续的高斯费米斯式福音纠缠状态[u（1）-GFPEPS]，并表明这些状态可以描述带有带绝缘子的基态和带有带触摸点的无间隙费米子。当将它们用作两个Dirac Fermion系统的变量Ansätze时（$π$ -Flux模型，$π$ -Flux型号，$ [0，π] $ - kagome晶格上的通量模型）时，我们发现u（1）-gfpepeps，即使具有相对较小的键，也可以准确地近似dirac fermi fermi fermi fermi fermi fermi fermi fermi fermi fermi fermi fermi fermi fermi sea Sea Cheer地下。通过在这些U（1）-GFPEPS之上应用Gutzwiller投影仪，我们获得了u（1）-dirac旋转液态液态的PEPS表示，用于Spin-1/2系统。使用最新的张量网络数字，Gutzwiller-Projected $π$ -Flux状态的自旋旋转相关函数的关键指数估计为$η\约1.7 $。
We develop a formalism for constructing particle-number-conserving Gaussian fermionic projected entangled pair states [U(1)-GfPEPS] and show that these states can describe ground states of band insulators and gapless fermions with band touching points. When using them as variational Ansätze for two Dirac fermion systems ($π$-flux model on the square lattice and $[0,π]$-flux model on the kagome lattice), we find that the U(1)-GfPEPS, even with a relatively small bond dimension, can accurately approximate the Dirac Fermi sea ground states. By applying Gutzwiller projectors on top of these U(1)-GfPEPS, we obtain PEPS representation of U(1)-Dirac spin liquid states for spin-1/2 systems. With state-of-the-art tensor network numerics, the critical exponent in the spin-spin correlation function of the Gutzwiller-projected $π$-flux state is estimated to be $η\approx 1.7$.
