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Flat electronic bands, characteristic of magic-angle twisted bilayer graphene (TBG), host a wealth of correlated phenomena. Early theoretical considerations suggested that, at the magic angle, the Dirac velocity vanishes and the entire…

We report the transport properties of monolayer and bilayer graphene from first principles calculations and Boltzmann transport theory (BTE). Our resistivity studies on monolayer graphene show Bloch-Gr${\rm \ddot{u}}$neisen behavior in a…

Materials Science · Physics 2017-03-02 Ransell D'Souza , Sugata Mukherjee

We report on realization and quantum transport study of a twisted bilayer graphene (tBLG) Josephson junction device. High-quality tBLG employed in the device fabrication is obtained via chemical vapour deposition and the device is…

Mesoscale and Nanoscale Physics · Physics 2020-03-06 Dingran Rui , Luzhao Sun , N. Kang , Hailin Peng , Zhongfan Liu , H. Q. Xu

The folding of monolayer graphene leads to new layered systems, termed twisted bilayer graphene (TBG), generally displaying a certain interlayer rotation away from crystallographic alignment. We here present an atomic force microscopy study…

Materials Science · Physics 2016-08-30 Johannes C. Rode , Christopher Belke , Hennrik Schmidt , Rolf J. Haug

We theoretically study the lattice relaxation in the twisted bilayer graphene (TBG) and its effect on the electronic band structure. We develop an effective continuum theory to describe the lattice relaxation in general TBGs and obtain the…

Materials Science · Physics 2017-09-06 Nguyen N. T. Nam , Mikito Koshino

The ability to control the strength of interaction is essential for studying quantum phenomena emerging from a system of correlated fermions. For example, the isotope effect illustrates the effect of electron-phonon coupling on…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Xiaoxue Liu , Zhi Wang , K. Watanabe , T. Taniguchi , Oskar Vafek , J. I. A. Li

We investigate the electronic structure of alternating-twist triple Bernal-stacked bilayer graphene (t3BG) as a function of interlayer coupling $\omega$, twist angle $\theta$, interlayer potential difference $\Delta$, and top-bottom…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Jiseon Shin , Bheema Lingam Chittari , Yunsu Jang , Hongki Min , Jeil Jung

An uncertainty in studying twisted bilayer graphene (TBG) is the minimum energy geometry, which strongly affects the electronic structure. The minimum energy geometry is determined by the potential energy surface, which is dominated by van…

Mesoscale and Nanoscale Physics · Physics 2023-11-14 Kittithat Krongchon , Tawfiqur Rakib , Shivesh Pathak , Elif Ertekin , Harley T. Johnson , Lucas K. Wagner

We report on an unconventional mechanism of electron scattering in graphene in hybrid Bose- Fermi systems. We study energy-dependent electron relaxation time, accounting for the processes of emission and absorption of a Bogoliubov…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Meng Sun , K. H. A. Villegas , V. M. Kovalev , I. G. Savenko

In twisted bilayer graphene, long-wavelength lattice fluctuations on the scale of the moir\'e period are dominated by phason modes, i.e., acoustic branches of the incommensurate lattice resulting from coherent superpositions of optical…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Héctor Ochoa

Magic-angle twisted bilayer graphene exhibits a panoply of many-body phenomena that are intimately tied to the appearance of narrow and well-isolated electronic bands. The microscopic ingredients that are responsible for the complex…

Strongly Correlated Electrons · Physics 2021-10-04 Cyprian Lewandowski , Stevan Nadj-Perge , Debanjan Chowdhury

Using the renormalized-ring-diagram approximation, we study the compressibility of the interacting electrons in bilayer graphene. The compressibility is equivalent to the spin susceptibility apart from a constant factor. The chemical…

Strongly Correlated Electrons · Physics 2015-05-27 Xin-Zhong Yan , C. S. Ting

It is a matter of current debate whether the gate-tunable superconductivity in twisted bilayer graphene is phonon-mediated or arises from electron-electron interactions. The recent observation of the strong coupling of electrons to…

Superconductivity · Physics 2026-03-20 Glenn Wagner , Yves H. Kwan , Nick Bultinck , Steven H. Simon , S. A. Parameswaran

The electronic properties of twisted bilayer graphene (TBG) can be dramatically different from those of a single graphene layer, in particular when the two layers are rotated relative to each other by a small angle. TBG has recently…

We derive the Hamiltonian for trilayer moir\'e systems with the Coulomb interaction projected onto the bands near the charge neutrality point. Motivated by the latest experimental results, we focus on the twisted symmetric trilayer graphene…

Strongly Correlated Electrons · Physics 2021-05-19 Dumitru Călugăru , Fang Xie , Zhi-Da Song , Biao Lian , Nicolas Regnault , B. Andrei Bernevig

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…

Strongly correlated and topological phases in moir\'e materials are exquisitely sensitive to lattice geometry at both atomic and superlattice length scales. Twist angle, pressure, and strain directly modify the lattice, and thus act as…

Mesoscale and Nanoscale Physics · Physics 2025-05-16 Xuetao Ma , Zhaoyu Liu , Jiaqi Cai , Kenji Watanabe , Takashi Taniguchi , Xiaodong Xu , Jiun-Haw Chu , Matthew Yankowitz

Although the strongly interacting flat bands in twisted bilayer graphene (TBG) have been approached using the minimal Bistritzer-MacDonald (BM) Hamiltonian, there is mounting evidence that strain and lattice relaxation are essential in…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Jonah Herzog-Arbeitman , Jiabin Yu , Dumitru Călugăru , Haoyu Hu , Nicolas Regnault , Oskar Vafek , Jian Kang , B. Andrei Bernevig

Magic-angle twisted bilayer graphene (MATBG) has been extensively explored both theoretically and experimentally as a suitable platform for a rich and tunable phase diagram that includes ferromagnetism, charge order, broken symmetries, and…

Mesoscale and Nanoscale Physics · Physics 2024-05-16 Lauro B. Braz , George B. Martins , Luis G. G. V. Dias da Silva

Magic-angle twisted bilayer graphene (TBG), with rotational misalignment close to 1.1$^\circ$, features isolated flat electronic bands that host a rich phase diagram of correlated insulating, superconducting, ferromagnetic, and topological…