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Twisted bilayers of two-dimensional (2D) materials have emerged as a highly tunable platform to study and engineer properties of excitons. However, the atomistic description of these properties has remained a significant challenge as a…

Materials Science · Physics 2025-03-13 Indrajit Maity , Arash A. Mostofi , Johannes Lischner

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…

Strongly Correlated Electrons · Physics 2023-12-08 Nikita Astrakhantsev , Glenn Wagner , Tom Westerhout , Titus Neupert , Mark H. Fischer

Twisted bilayer graphene exhibits isolated, relatively flat electronic bands near charge neutrality when the interlayer rotation is tuned to specific magic angles. These small misalignments, typically below 1.1{\deg}, result in long-period…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Antonio Palamara , Michele Pisarra , Antonello Sindona

Nanophotonic devices with moir\'e superlattice is currently attracting broad interest due to the unique periodicity and high efficiency control of photons. Till now, experimental investigations mainly focus on the single layer device, i.e.,…

Optics · Physics 2025-03-07 Qing Wang , Yuhang Li , Shaofeng Wang , Shuo Cao , Xiulai Xu , Chenjiang Qian

We study the atomic structure of twisted bilayer graphene, with very small mismatch angles ($\theta \sim 0.28^0$), a topic of intense recent interest. We use simulations, in which we combine a recently presented semi-empirical potential for…

Materials Science · Physics 2016-11-15 Sandeep K. Jain , Vladimir Juricic , Gerard T. Barkema

Crystal fields occur due to a potential difference between chemically different atomic species. In Van-der-Waals heterostructures such fields are naturally present perpendicular to the planes. It has been realized recently that twisted…

Twisted bilayer two-dimensional electronic systems give rise to many exotic phenomena and unveil a new frontier for the study of quantum materials. In photonics, twisted two-dimensional systems coupled via near-field interactions offer a…

Mesoscale and Nanoscale Physics · Physics 2022-05-17 Rongqian Wang , Jincheng Lu , Xiaohu Wu , Jiebin Peng , Jian-Hua Jiang

We study the effect of an in-plane magnetic field on the non-interacting dispersion of twisted bilayer graphene. Our analysis is rooted in the chirally symmetric continuum model, whose zero-field band structure hosts exactly flat bands and…

Strongly Correlated Electrons · Physics 2020-05-20 Yves H. Kwan , S. A. Parameswaran , S. L. Sondhi

Using the method developed in the companion paper, we construct the effective continuum theories for two different microscopic tight binding models of the twisted bilayer graphene at the twist angle of $1.05^\circ$, one Slater-Koster based…

Strongly Correlated Electrons · Physics 2023-02-24 Jian Kang , Oskar Vafek

Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron…

Strongly Correlated Electrons · Physics 2016-08-31 S. Kodiyalam , H. A. Fertig , S. Das Sarma

Twisted bilayers of nodal superconductors were recently proposed as a promising platform to host superconducting phases that spontaneously break time-reversal symmetry. Here we extend this analysis to twisted multilayers, focusing on two…

Superconductivity · Physics 2022-07-28 Tarun Tummuru , Étienne Lantagne-Hurtubise , Marcel Franz

Flat bands in moir\'e superlattices provide a fertile ground for correlated and topological phases, governed by their quantum geometric properties. While the valley-based paradigm captures key features in select materials, it breaks down in…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiaoting Zhou , Yi-Chun Hung , Arun Bansil

The Bistritzer-MacDonald continuum model (BM model) describes the low-energy moir\'e bands for twisted bilayer graphene (TBG) at small twist angles. We derive a generalized continuum model for TBG near any commensurate twist angle, which is…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Michael G. Scheer , Kaiyuan Gu , Biao Lian

When two layers of two-dimensional materials are assembled with a relative twist, moir\'e patterns arise, inducing a tremendous wealth of exotic phenomena. In this work, we consider twisting two triangular lattices hosting Dirac quantum…

Strongly Correlated Electrons · Physics 2022-11-09 Zhu-Xi Luo , Urban F. P. Seifert , Leon Balents

Despite much theoretical work, developing a comprehensive ab initio model for twisted bilayer graphene (TBG) has proven challenging due to the inherent trade-off between accurately describing the band structure and incorporating the…

Strongly Correlated Electrons · Physics 2025-09-25 Run Hou , Shouvik Sur , Lucas K. Wagner , Andriy H. Nevidomskyy

The interplay of twist and strain in bilayer graphene enables the formation of moir\'e patterns and narrow bands that host correlated and topological phases. While magic-angle twisted bilayer graphene has been widely studied, strain…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Federico Escudero , Dong Wang , Pierre A. Pantaleón , Shengjun Yuan , Francisco Guinea , Zhen Zhan

We investigate the effects of lithium intercalation in twisted bilayers of graphene, using first-principles electronic structure calculations. To model this system we employ commensurate supercells that correspond to twist angles of…

Mesoscale and Nanoscale Physics · Physics 2020-02-11 Daniel T. Larson , Stephen Carr , Georgios A. Tritsaris , Efthimios Kaxiras

Twisted bilayer graphene (TBLG) has emerged as an important platform for studying correlated phenomena, including unconventional superconductivity, in two-dimensional systems. The complexity of the atomic-scale structures in TBLG has made…

Strongly Correlated Electrons · Physics 2019-11-07 Stephen Carr , Shiang Fang , Hoi Chun Po , Ashvin Vishwanath , Efthimios Kaxiras

The interlayer coupling of twisted bilayer graphene could markedly affect its electronic band structure. A current challenge required to overcome in experiment is how to precisely control the coupling and therefore tune the electronic…

Mesoscale and Nanoscale Physics · Physics 2012-08-07 Lan Meng , Wei Yan , Zhao-Dong Chu , Yanfeng Zhang , Lei Feng , Rui-Fen Dou , Jia-Cai Nie , Lin He

Twisted graphene bilayers provide a versatile platform to engineer metamaterials with novel emergent properties by exploiting the resulting geometric moir\'{e} superlattice. Such superlattices are known to host bulk valley currents at tiny…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 T. M. R. Wolf , J. L. Lado , G. Blatter , O. Zilberberg