Department of Physics, Harvard University, Cambridge MA 02138;
Department of Physics, Harvard University, Cambridge MA 02138.
Proc Natl Acad Sci U S A. 2018 Apr 17;115(16):E3665-E3672. doi: 10.1073/pnas.1720580115. Epub 2018 Apr 2.
We compute the electronic Green's function of the topologically ordered Higgs phase of a SU(2) gauge theory of fluctuating antiferromagnetism on the square lattice. The results are compared with cluster extensions of dynamical mean field theory, and quantum Monte Carlo calculations, on the pseudogap phase of the strongly interacting hole-doped Hubbard model. Good agreement is found in the momentum, frequency, hopping, and doping dependencies of the spectral function and electronic self-energy. We show that lines of (approximate) zeros of the zero-frequency electronic Green's function are signs of the underlying topological order of the gauge theory and describe how these lines of zeros appear in our theory of the Hubbard model. We also derive a modified, nonperturbative version of the Luttinger theorem that holds in the Higgs phase.
我们计算了在正方形晶格上的 SU(2)规范理论中波动反铁磁体的拓扑有序希格斯相的电子格林函数。结果与强相互作用空穴掺杂 Hubbard 模型的赝隙相上的动态平均场理论和量子蒙特卡罗计算的扩展进行了比较。在光谱函数和电子自能的动量、频率、跃迁和掺杂依赖性方面，我们发现了很好的一致性。我们表明，零频电子格林函数的（近似）零点线是规范理论潜在拓扑序的标志，并描述了这些零点线如何出现在我们的 Hubbard 模型理论中。我们还推导出了在希格斯相中成立的 Luttinger 定理的修正、非微扰版本。
