Vacancy-Induced Tunable Kondo Effect in Twisted Bilayer Graphene

Chang, Yueqing; Yi, Jinjing; Wu, Ang-Kun; Kugler, Fabian B.; Andrei, Eva Y.; Vanderbilt, David; Kotliar, Gabriel; Pixley, J.  H.

doi:10.1103/physrevlett.133.126503

Title: Vacancy-Induced Tunable Kondo Effect in Twisted Bilayer Graphene

Journal Article · 19 September 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.133.126503 · OSTI ID:2514343

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^[2]; Andrei, Eva Y. ^[1];

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Rutgers Univ., Piscataway, NJ (United States)
Flatiron Institute, New York, NY (United States); Rutgers Univ., Piscataway, NJ (United States)
Rutgers Univ., Piscataway, NJ (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Rutgers Univ., Piscataway, NJ (United States); Flatiron Institute, New York, NY (United States)

In single sheets of graphene, vacancy-induced states have been shown to host an effective spin-1/2 hole that can be Kondo screened at low temperatures. Here, we show how these vacancy-induced impurity states survive in twisted bilayer graphene (TBG), which thus provides a tunable system to probe the critical destruction of the Kondo effect in pseudogap hosts. Ab initio calculations and atomic-scale modeling are used to determine the nature of the vacancy states in the vicinity of the magic angle in TBG, demonstrating that the vacancy can be treated as a quantum impurity. Utilizing this insight, we construct an Anderson impurity model with a TBG host that we solve using the numerical renormalization group combined with the kernel polynomial method. We determine the phase diagram of the model and show how there is a strict dichotomy between vacancies in the AA/BB versus AB/BA tunneling regions. In AB/BA vacancies, the Kondo temperature at the magic angle develops a broad distribution with a tail to vanishing temperatures due to multifractal wave functions at the magic angle. Finally, we argue that scanning tunneling microscopy in the vicinity of the vacancy can act as a probe of both the critical single-particle states and the underlying many-body ground state in magic-angle TBG.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: SC0012704; FG02-99ER45742

OSTI ID:: 2514343

Report Number(s):: BNL-227569-2025-JAAM

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 133; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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