论文标题
令人反感的费米 - 哈伯德模型中的费米 - 表面重建
Fermi-surface Reconstruction in the Repulsive Fermi-Hubbard Model
论文作者
论文摘要
关于高温库酸盐超导体的基本问题之一是超导状态下的费米表面(FS)的大小。 By analyzing the single particle spectral function for the Fermi Hubbard model as a function of repulsion $U$ and chemical potential $μ$, we find that the Fermi surface in the normal state reconstructs from a large Fermi surface matching the Luttinger volume as expected in a Fermi liquid, to a Fermi surface that encloses fewer electrons that we dub the "Luttinger Breaking" (LB) phase, as the Mott insulator接近。在没有任何其他破碎的对称性的情况下,这种违反luttinger计数的非Fermi液相的过渡是临界密度的连续相变。我们从光谱重量$ a _ {\ vec {k}}(ω= 0)$中获得费米表面轮廓,并通过对智障Green功能的杆和零的分析进行分析$ g _ {\ vec {\ vec {k}}}^{ret = 0)$,并使用确定的contion contimsiral contimential Carection carsition Carsission Carsissionss,我们将其进行了分析。大厅测量,扫描隧道光谱和角度分辨光发射光谱的实验。
One of the fundamental questions about the high temperature cuprate superconductors is the size of the Fermi surface (FS) underlying the superconducting state. By analyzing the single particle spectral function for the Fermi Hubbard model as a function of repulsion $U$ and chemical potential $μ$, we find that the Fermi surface in the normal state reconstructs from a large Fermi surface matching the Luttinger volume as expected in a Fermi liquid, to a Fermi surface that encloses fewer electrons that we dub the "Luttinger Breaking" (LB) phase, as the Mott insulator is approached. This transition into a non-Fermi liquid phase that violates the Luttinger count, is a continuous phase transition at a critical density in the absence of any other broken symmetry. We obtain the Fermi surface contour from the spectral weight $A_{\vec{k}}(ω=0)$ and from an analysis of the poles and zeros of the retarded Green's function $G_{\vec{k}}^{ret}(E=0)$, calculated using determinantal quantum Monte Carlo and analytic continuation methods.We discuss our numerical results in connection with experiments on Hall measurements, scanning tunneling spectroscopy and angle resolved photoemission spectroscopy.