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Hundness in twisted bilayer graphene: correlated gaps and pairing
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abstract
We characterize gap-opening mechanisms in the topological heavy fermion (THF) model of magic-angle twisted bilayer graphene (MATBG), with and without electron-phonon coupling, using dynamical mean-field theory (DMFT) with the numerical renormalization group (NRG) impurity solver. In the presence of symmetry breaking associated with valley-orbital ordering (time-reversal-symmetric or Kramers intervalley coherent, or valley polarized), spin anti-Hund and orbital-angular-momentum Hund couplings, induced by the dynamical Jahn-Teller effect, result in a robust pseudogap at filling $2 \lesssim |\nu| \lesssim 2.5$. We also find that Hundness enhances the pairing susceptibilities for $1.6 \lesssim |\nu| \lesssim 2.8$, which might be a precursor to the superconducting phases neighboring $|\nu| = 2$.
Forward citations
Cited by 3 Pith papers
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Resolving Intervalley Gaps and Many-Body Resonances in Moir\'e Superconductor
In magic-angle twisted trilayer graphene, two gaps coexist at the Fermi level: an inner superconducting gap and an outer gap from intervalley coherence, with the outer gap arising from a split many-body resonance.
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Interplay between many-body correlations, strain and lattice relaxation in twisted bilayer graphene
Strain splitting of the flat bands plus relaxation-induced particle-hole asymmetry in a DMFT treatment of the heavy-fermion model accounts for the persistent ~10 meV STM/QTM feature, the entropy behavior, and the asym...
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Mixed valence Mott insulator and composite excitation in twisted bilayer graphene
At ν=-2, twisted bilayer graphene is argued to host a mixed valence Mott insulator where the f orbital is a superposition of f2+ and f3+, with a low-energy composite excitation near Γ.
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