论文标题
涡流费米液体和密切相关的量子不良金属
Vortex Fermi Liquid and Strongly Correlated Quantum Bad Metal
论文作者
论文摘要
基于准粒子图片的二维（$ 2D $）金属的半经典描述表明，电阻率的通用阈值：$ 2D $金属的电阻率受所谓的Mott-ioffe-regregal（mir）限制，即以$ h/e e^2 $的顺序。如果系统保持金属的电阻率超过miR极限，则称为“不良金属”，这将我们的理论理解挑战为准粒子的概念无效。当电子之间也存在很强的相关性时，系统的描述变得更加具有挑战性。在最近关于过渡金属二分法莫伊尔异质结构的实验的部分动机，我们寻求了解强相关的不良金属的电阻率远远超过miR极限。对于某些密切相关的不良金属，尽管基于电子准颗粒的显微镜描述失败了，但仍然有可能基于“电荷涡流”的可拖动双重描述。我们构建了一个混凝土的示例，即这种强相关的不良金属，其中涡旋是带有费米表面的费米，我们证明其电阻率在零温度下可能非常大。而且，当额外的电荷$Δn_e$掺入系统远离半填充的系统时，将在光导率中出现一个小的drude重量与$（Δn_e）^2 $成比例成正比。
The semiclassical description of two-dimensional ($2d$) metals based on the quasiparticle picture suggests that there is a universal threshold of the resistivity: the resistivity of a $2d$ metal is bounded by the so called Mott-Ioffe-Regal (MIR) limit, which is at the order of $h/e^2$. If a system remains metallic while its resistivity is beyond the MIR limit, it is referred to as a "bad metal", which challenges our theoretical understanding as the very notion of quasiparticles is invalidated. The description of the system becomes even more challenging when there is also strong correlation between the electrons. Partly motivated by the recent experiment on transition metal dichalcogenides moiré heterostructure, we seek for understanding of strongly correlated bad metals whose resistivity far exceeds the MIR limit. For some strongly correlated bad metals, though a microscopic description based on electron quasiparticles fails, a tractable dual description based on the "vortex of charge" is still possible. We construct a concrete example of such strongly correlated bad metals where vortices are fermions with a Fermi surface, and we demonstrate that its resistivity can be exceptionally large at zero temperature. And when extra charge $δn_e$ is doped into the system away from half-filling, a small Drude weight proportional to $(δn_e)^2$ will emerge in the optical conductivity .
