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We study Dirac points of the chiral model of twisted bilayer graphene (TBG) with constant in-plane magnetic field. For a fixed small magnetic field, we show that as the angle of twisting varies between magic angles, the Dirac points move…

数学物理 · 物理学 2023-06-22 Simon Becker , Maciej Zworski

In recent years, flat electronic bands in twisted bilayer graphene (TBG) have attracted significant attention due to their intriguing topological properties, extremely slow electron velocities, and enhanced density of states. Extending…

量子气体 · 物理学 2025-06-16 Wenjie Sui , Wei Han , Zheng Vitto Han , Zengming Meng , Jing Zhang

Moir\'e superlattices that consist of two or more layers of two-dimensional materials stacked together with a small twist angle have emerged as a tunable platform to realize various correlated and topological phases, such as Mott…

Starting with twisted bilayer graphene, graphene-based moir\'e materials have recently been established as a new platform for studying strong electron correlations. In this paper, we study twisted graphene monolayers on trilayer graphene…

We consider plasmon-assisted electron tunneling in a quantum twisting microscope (QTM). The dependence of the differential conductance on the two control parameters of the QTM -- the twist angle and bias -- reveals the plasmon spectrum as…

强关联电子 · 物理学 2025-06-09 Nemin Wei , Francisco Guinea , Felix von Oppen , Leonid I. Glazman

Superconductivity in flatband systems has attracted tremendous attention in condensed matter physics. Alternating twisted multilayer graphene presents a compelling multiband system, with a coexistence of Dirac bands and flat bands, for…

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

介观与纳米尺度物理 · 物理学 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

This work investigates the electronic properties of twisted bilayer graphene (TBG) through computational calculations, with the aim of understanding the emergence of flat bands and conditions favorable for superconductivity close to the…

介观与纳米尺度物理 · 物理学 2026-01-21 Rajendra Paudel , Nabin Upadhya Dhakal , Nurapati Pantha

We study the effects of heterostrain on moir\'e bands in twisted bilayer graphene and bilayer transition metal dichalcogenide (TMD) systems. For bilayer graphene with twist angle near $1^\circ$, we show that heterostrain significantly…

材料科学 · 物理学 2019-08-07 Zhen Bi , Noah F. Q. Yuan , Liang Fu

Low-energy moir\'e flat bands in magic-angle twisted bilayer graphene (tBG) have demonstrated incredible potentials to exhibit rich exotic quantum phenomena. Theoretically, the moir\'e flat bands of tBG are based on the extended structures,…

介观与纳米尺度物理 · 物理学 2022-05-23 Long-Jing Yin , Ling-Hui Tong , Yue-Ying Zhou , Yang Zhang , Yuan Tian , Li Zhang , Lijie Zhang , Zhihui Qin

Here we present a theory of mirror-symmetric magic angle twisted trilayer graphene. The electronic properties are described by a Hubbard model with long range tunneling matrix elements. The electronic properties are obtained by solving the…

介观与纳米尺度物理 · 物理学 2026-05-13 Alina Wania Rodrigues , Maciej Bieniek , Daniel Miravet , Pawel Hawrylak

The energy spectra for the tight-binding models on the Lieb and kagom\'e lattices both exhibit a flat band. We present a model which continuously interpolates between these two limits. The flat band located in the middle of the three-band…

介观与纳米尺度物理 · 物理学 2020-01-31 Lih-King Lim , Jean-Noël Fuchs , Frédéric Piéchon , Gilles Montambaux

The ongoing discoveries of graphene-based superconductors underscore the quest to understand the structure of new superconducting orders. We develop a theory that facilitates the use of the quantum twisting microscope (QTM) for that…

介观与纳米尺度物理 · 物理学 2025-09-30 Nemin Wei , Felix von Oppen , Leonid I. Glazman

We investigate the electronic structure of a twisted multilayer graphene system forming a moir\'e pattern. We consider small twist angles separating the graphene sheets and develop a low-energy theory to describe the coupling of Dirac Bloch…

介观与纳米尺度物理 · 物理学 2019-07-17 Christophe Mora , Nicolas Regnault , B. Andrei Bernevig

Magic angle twisted bilayer graphene has emerged as a powerful platform for studying strongly correlated electron physics, owing to its almost dispersionless low-energy bands and the ability to tune the band filling by electrostatic gating.…

介观与纳米尺度物理 · 物理学 2021-07-21 Nikhil Tilak , Xinyuan Lai , Shuang Wu , Zhenyuan Zhang , Mingyu Xu , Raquel de Almeida Ribeiro , Paul C Canfield , Eva Y. Andrei

Ever since the initial experimental observation of correlated insulators and superconductivity in the flat Dirac bands of magic angle twisted bilayer graphene, a search for the microscopic description that explains its strong electronic…

Flatbands with extremely narrow bandwidths on the order of a few mili-electron volts can appear in twisted multilayer graphene systems for appropriate system parameters. Here we investigate the electronic structure of a twisted bi-bilayer…

介观与纳米尺度物理 · 物理学 2019-06-24 Narasimha Raju Chebrolu , Bheema Lingam Chittari , Jeil Jung

'Magic'-angle twisted bilayer graphene has received a lot of interest due to its flat bands with potentially non-trivial topology that lead to intricate correlated phases. A spectrum with flat bands, however, does not require a twist…

介观与纳米尺度物理 · 物理学 2021-07-07 Anastasiia Skurativska , Stepan S. Tsirkin , Fabian D Natterer , Titus Neupert , Mark H Fischer

Diverse emergent correlated electron phenomena have been observed in twisted graphene layers due to electronic interactions with the moir\'e superlattice potential. Many electronic structure predictions have been reported exploring this new…

We report scanning tunneling microscopy (STM) and spectroscopy (STS) of twisted graphene bilayer on SiC substrate. For twist angle ~ 4.5o the Dirac point ED is located about 0.40 eV below the Fermi level EF due to the electron doping at the…

强关联电子 · 物理学 2015-06-03 Lan Meng , Yanfeng Zhang , Wei Yan , Lei Feng , Lin He , Rui-Fen Dou , Jia-Cai Nie