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The ground state phase diagram of the half-filled repulsive Hubbard model in a bilayer is investigated using cluster dynamical mean field theory. For weak to intermediate values of Coulomb repulsion $U$, the system undergoes a transition…

强关联电子 · 物理学 2009-11-13 S. S. Kancharla , S. Okamoto

We study theoretically many-body properties of magic-angle twisted bilayer graphene for different doping levels. Our investigation is focused on the emergence, stability, and manifestations of nematicity of the ordered low-temperature…

强关联电子 · 物理学 2020-10-29 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

In the present paper, we systematically studied the possible Orbital selective Mott transition (OSMT) in the $t_{2g}$ system, which has three orbital degeneracy. The slave Boson mean field theory is generalized to the three band systems…

强关联电子 · 物理学 2007-05-23 Xi Dai , Gabriel Kotliar , Zhong Fang

The observation of a superconducting phase, an intertwined insulating phase, and a continuous transition between the two at a commensurate filling of $\nu=1$ in bilayers of twisted WSe$_2$ at $\theta=3.65^0$ raises a number of intriguing…

强关联电子 · 物理学 2025-02-19 Sunghoon Kim , Juan Felipe Mendez-Valderrama , Xuepeng Wang , Debanjan Chowdhury

The coexistence of superconducting and correlated insulating states in magic-angle twisted bilayer graphene prompts fascinating questions about the relationship of these orders. Independent control of the microscopic mechanisms governing…

Theory of spin-orbit coupling in bilayer graphene is presented. The electronic band structure of the AB bilayer in the presence of spin-orbit coupling and a transverse electric field is calculated from first-principles using the linearized…

介观与纳米尺度物理 · 物理学 2012-03-28 Sergej Konschuh , Martin Gmitra , Denis Kochan , Jaroslav Fabian

We investigate the twisted bilayer graphene by a two-orbital Hubbard model on the honeycomb lattice. The model is studied near 1/4 band filling by using the singular-mode functional renormalization group theory. Spin-triplet $f$-wave…

超导电性 · 物理学 2019-04-03 Q. K. Tang , L. Yang , D. Wang , F. C. Zhang , Q. H. Wang

The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted…

介观与纳米尺度物理 · 物理学 2019-07-23 Chiun-Yan Lin , Ming-Fa Lin

The slave boson mean-field studies of the ground state of the Hubbard model with correlated hopping were performed. The approach qualitatively recovers the exact results for the case of the hopping integral t equal to the correlated hopping…

超导电性 · 物理学 2009-10-30 Bogdan R. Bulka

Experiments on graphene bilayers, where the top layer is rotated with respect to the one below, have displayed insulating behavior when the moir\'e bands are partially filled. We calculate the charge distributions in these phases, and…

强关联电子 · 物理学 2021-03-15 Ipsita Mandal , Jia Yao , Erich J. Mueller

Graphene-based moir\'e superlattice featuring flat bands is a promising platform for studying strongly correlated states. By tuning two twist angles and displacement fields in twisted mono-mono-bilayer graphene (TMMBG), we observed a…

介观与纳米尺度物理 · 物理学 2024-07-01 Jin Jiang , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee

Moir\'e transition metal dichalcogenides have served as a versatile platform for simulating Hubbard physics. Recent experiments have identified robust superconductivity in moir\'e bilayer WSe$_2$ for certain twist angles. Here, we propose…

强关联电子 · 物理学 2026-05-19 Hui-Ke Jin , Guangyue Ji , Zhan Wang , Jie Wang , Fu-Chun Zhang

We investigate the interplay between topological effects and Mott physics in two dimensions on a graphene-like lattice, via a tight-binding model containing an anisotropic spin-orbit coupling on the next-nearest-neighbour links and the…

强关联电子 · 物理学 2015-06-16 Tianhan Liu , Benoît Douçot , Karyn Le Hur

Twisted bilayer graphene is an exciting platform for exploring correlated quantum phases, extremely tunable with respect to both the single-particle bands and the interaction profile of electrons. Here, we investigate the phase diagram of…

强关联电子 · 物理学 2023-12-08 Nikita Astrakhantsev , Glenn Wagner , Tom Westerhout , Titus Neupert , Mark H. Fischer

We explore the superconducting properties of the bilayer Hubbard model, which exhibits a high transition temperature ($T_{\rm c}$) for an $s_{\pm}$ pairing, using a cluster extension of the dynamical mean-field theory. Unlike the…

超导电性 · 物理学 2025-07-22 Yusuke Nomura , Motoharu Kitatani , Shiro Sakai , Ryotaro Arita

We address the effective tight-binding Hamiltonian that describes the insulating Mott state of twisted graphene bilayers at a magic angle. In that configuration, twisted bilayers form a honeycomb superlattice of localized states,…

强关联电子 · 物理学 2019-06-24 Kangjun Seo , Valeri N. Kotov , Bruno Uchoa

We study electronic, charge, and magnetic properties of twisted bilayer graphene with fillings $2\leq n\leq 6$ per moire unit cell within the recently introduced formulation of extended dynamical mean-field theory (E-DMFT) for…

强关联电子 · 物理学 2022-09-30 A. A. Katanin

We propose a two-orbital Hubbard model on an emergent honeycomb lattice to describe the low-energy physics of twisted bilayer graphene. Our model provides a theoretical basis for studying metal-insulator transition, Landau level degeneracy…

强关联电子 · 物理学 2018-07-31 Noah F. Q. Yuan , Liang Fu

Moir\'e patterns are known to confine electronic states in transition metal dichalcogenide bilayers, thus generalizing the notion of magic angles discovered in twisted bilayer graphene to semiconductors. Here, we present a revised…

介观与纳米尺度物理 · 物理学 2020-08-12 Somepalli Venkateswarlu , Andreas Honecker , Guy Trambly de Laissardière

The discovery of interaction-driven insulating and superconducting phases in moir\'e van der Waals heterostructures has sparked considerable interest in understanding the novel correlated physics of these systems. While a significant number…