Seminar: Kondo Phase in Twisted Bilayer Graphene – A Unified Theory for Distinct Experiments

Zhi-Da Song

Peking University

Time: 3:30pm, Monday, Feb. 20, 2023

Location: Room 242, East 4, Ziingang Campus

Abstract:

A number of interesting physics phenomena have been discovered in magic-angle twisted bilayer graphene (MATBG), such as superconductivity, correlated gapped and gapless phases, etc. The gapped phases are believed to be symmetry-breaking states described by mean-field theories. Gapless phases, however, exhibit exotic phenomena beyond naive mean-field descriptions. Such phenomena include (i) zero-energy peaks in spectral density at low temperatures, (ii) a cascade of transitions as that of a quantum dot at higher temperatures, (iii) the Pomeranchuk effect where local moment develops upon heating, (iv) resistance peaks in gapless phases at certain integer fillings, etc. These phenomena have never been connected or explained on a microscopic level by any prior theory. In this work, we point out that all these phenomena result from a simple unified mechanism – the Kondo effect. We applied systematic analytical and numerical renormalization group analyses to a singleimpurity version of the recently proposed topological heavy fermion (THF) model of MATBG. We find that the Fermi liquid ground state exhibiting (i) zero-energy peaks is stabilized by the Kondo screening effect. A higher temperature will drive the system into a local moment phase that obeys Curie’s law and has higher entropy. This explains the (ii) transition cascade, (iii) the Pomeranchuk effect, and (iv) resistance peaks. Remarkably, using realistic parameters given by the previous THF model work, the computed spectral densities, entropies, and spin susceptibilities are quantitatively comparable to experiments. Furthermore, we predict that the ground state in a wide range of fractional fillings is the heavy Fermi liquid, and compute its dispersion, quasi-particle weight, and energy surfaces that could be used to verify our theory if compared to experiments in the future studies. We conjecture that the heavy Fermi liquid is the parent state of the observed unconventional superconductivity. It is also possible that the observed “strange metal” behavior could be connected to the competition between RKKY interaction and Kondo screening.

报告人简介：

宋志达博士，北京大学国际量子材料中心助理教授、博士生导师。2018年博士毕业于中科院物理所，之后在普林斯顿大学物理系从事博士后研究。主要研究方向为拓扑态的分类和响应理论，无序系统中的输运理论，拓扑材料中的关联物理，以及以转角石墨烯为例的（拓扑）平带系统中衍生出的强关联物理及其与能带拓扑的相互影响。已发表论文50余篇，包括第一/通讯作者身份Nature 2篇、Science 1篇、PRL/PRX/NC 11篇，Sci. Adv. 1篇等。2022年入选国家海外高层次人才计划青年项目。