Vacancy-induced tunable Kondo effect in twisted bilayer graphene

Fuente: arXiv
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Autori principali: Chang, Yueqing, Yi, Jinjing, Wu, Ang-Kun, Kugler, Fabian B., Andrei, Eva Y., Vanderbilt, David, Kotliar, Gabriel, Pixley, J. H.
Natura: Preprint
Pubblicazione: 2023
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author Chang, Yueqing
Yi, Jinjing
Wu, Ang-Kun
Kugler, Fabian B.
Andrei, Eva Y.
Vanderbilt, David
Kotliar, Gabriel
Pixley, J. H.
author_facet Chang, Yueqing
Yi, Jinjing
Wu, Ang-Kun
Kugler, Fabian B.
Andrei, Eva Y.
Vanderbilt, David
Kotliar, Gabriel
Pixley, J. H.
contents 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 wavefunctions at the magic angle. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_09286
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle 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.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
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 wavefunctions at the magic angle. 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.
title Vacancy-induced tunable Kondo effect in twisted bilayer graphene
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2312.09286