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Trilayer graphene is receiving an increasing level of attention due to its stacking--dependent magnetoelectric and optoelectric properties, and its more robust ferromagnetism relative to monolayer and bilayer variants. Additionally,…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 M. F. C. Martins Quintela , N. M. R. Peres

We develop a systematic self-consistent perturbative expansion for the self energy of Hubbard-like models. The interaction lines in the Feynman diagrams are dynamically screened by the charge fluctuations in the system. Although the formal…

Strongly Correlated Electrons · Physics 2007-05-23 G. Esirgen , H. -B. Schuttler , C. Grober , H. G. Evertz

Few-layer graphene systems come in various stacking orders. Considering tight-binding models for electrons on stacked honeycomb layers, this gives rise to a variety of low-energy band structures near the charge neutrality point. Depending…

Strongly Correlated Electrons · Physics 2012-11-07 Michael M. Scherer , Stefan Uebelacker , Daniel D. Scherer , Carsten Honerkamp

Due to effective enhancement of the Coulomb coupling strength in the vacuum-suspended graphene, the system may turn from a semimetal into an insulator by the formation of a gap in the fermionic spectrum. This phenomenon is analogous to the…

Strongly Correlated Electrons · Physics 2015-03-17 Yasufumi Araki

The symmetry-broken correlated states in twisted double bilayer graphene (TDBG) can be tuned via several external knobs, including twist angle, displacement field, and carrier density. However, a direct, momentum-resolved characterization…

We discuss the effect of long-range interactions within the self-consistent Hartree-Fock (HF) approximation in comparison to short-range atomic Hubbard interactions on the band structure of twisted bilayer graphene (TBG) at charge…

Performing a leading-order renormalization group analysis, here we compute the effects of generic local or short-range electronic interactions in monolayer and Bernal bilayer graphene. Respectively in these two systems chiral quasiparticles…

Strongly Correlated Electrons · Physics 2021-05-26 Andras Szabo , Bitan Roy

Correlated insulators and superconductivity have been observed in "magic-angle" twisted bilayer graphene, when the nearly flat bands close to neutrality are partially filled. While a momentum-space continuum model accurately describes these…

Strongly Correlated Electrons · Physics 2019-06-04 Hoi Chun Po , Liujun Zou , T. Senthil , Ashvin Vishwanath

We study the effect of sublattice symmetry breaking on the electronic, magnetic and transport properties of two dimensional graphene as well as zigzag terminated one and zero dimensional graphene nanostructures. The systems are described…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 D. Soriano , J. Fernández-Rossier

We propose a lattice scale two-band generalized Hubbard model as a caricature of the electronic structure of twisted bilayer graphene. Various possible broken symmetry phases can arise, including a nematic phase (which is a form of orbital…

Superconductivity · Physics 2018-08-29 John F. Dodaro , Steven A. Kivelson , Yoni Schattner , Xiao-Qi Sun , Chao Wang

Using exact diagonalization, we study the projected Hamiltonian with Coulomb interaction in the 8 flat bands of first magic angle twisted bilayer graphene. Employing the U(4) (U(4)$\times$U(4)) symmetries in the nonchiral (chiral) flat band…

Strongly Correlated Electrons · Physics 2022-04-26 Fang Xie , Aditya Cowsik , Zhi-Da Song , Biao Lian , B. Andrei Bernevig , Nicolas Regnault

Rhombohedral graphene multilayers host various broken-symmetry metallic phases as well as superconductors whose pairing mechanism and order parameter symmetry remain unsettled. Strikingly, experiments have revealed prominent new…

Superconductivity · Physics 2025-07-08 Zhiyu Dong , Étienne Lantagne-Hurtubise , Jason Alicea

Trilayer graphene allows systematic control of its electronic structure through stacking sequence and twist geometry, providing a versatile platform for correlated states. Here we report magnetotransport in alternating twisted trilayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Dohun Kim , Gyeoul Lee , Nicolas Leconte , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jeil Jung , Gil Young Cho , Youngwook Kim

We propose a general principle for the low-energy theory of narrow bands with concentrated Berry curvature and Fubini-Study metric in the form of a map to Anderson-"+" models composed of heavy fermions hybridizing and interacting with…

Magic-angle twisted multilayer graphene stands out as a highly tunable class of moir\'e materials that exhibit strong electronic correlations and robust superconductivity. However, understanding the relations between the low-temperature…

We obtain the quasiparticle band structure of ABA and ABC-stacked graphene trilayers through ab initio density functional theory (DFT) and many-body quasiparticle calculations within the GW approximation. To interpret our results, we fit…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Marcos G. Menezes , Rodrigo B. Capaz , Steven G. Louie

We study the lattice dynamics of antiferromagnetic transition-metal oxides by using self-consistent Hubbard functionals. We calculate the ground states of the oxides with the on-site and intersite Hubbard interactions determined…

Strongly Correlated Electrons · Physics 2022-06-01 Wooil Yang , Bo Gyu Jang , Young-Woo Son , Seung-Hoon Jhi

We investigate the problem of dynamical gap generation in suspended graphene by long-range Coulomb interactions at strong coupling with Dyson-Schwinger equations. Including renormalization effects on the Fermi velocity we obtain a critical…

Strongly Correlated Electrons · Physics 2013-02-12 C. Popovici , C. S. Fischer , L. von Smekal

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Shvaika

We provide a comprehensive theory of magnetic phases in two-dimensional triangulene crystals, using both Hubbard model and density functional theory (DFT) calculations. We consider centrosymmetric and non-centrosymmetric triangulene…

Mesoscale and Nanoscale Physics · Physics 2024-11-01 G. Catarina , J. C. G. Henriques , A. Molina-Sánchez , A. T. Costa , J. Fernández-Rossier