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Twisted bilayer graphene (TBG) has taken the spotlight in the condensed matter community since the discovery of correlated phases at the so-called magic angle. Interestingly, the role of a substrate on the electronic properties of TBG has…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Min Long , Pierre A. Pantaleón , Zhen Zhan , Francisco Guinea , Jose Ángel Silva-Guillén , Shengjun Yuan

We provide a formal derivation of a reduced model for twisted bilayer graphene (TBG) from Density Functional Theory. Our derivation is based on a variational approximation of the TBG Kohn-Sham Hamiltonian and asymptotic limit techniques. In…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Eric Cancès , Louis Garrigue , David Gontier

We show that the physics of deformation in $\alpha$-, $\beta$-, and $6,6,12$-graphyne is, despite their significantly more complex lattice structures, remarkably close to that of graphene, with inhomogeneously strained graphyne described at…

Materials Science · Physics 2019-08-28 R. Gupta , S. Maisel , F. Rost , D. Weckbecker , M. Fleischmann , H. Soni , S. Sharma , A. Görling , S. Shallcross

Twisted 2D layered materials have garnered a lot of attention recently as a class of 2D materials whose interlayer interactions and electronic properties are dictated by the relative rotation / twist angle between the adjacent layers. In…

We study the superfluid properties of a system of interacting bosons on a lattice which, moreover, are coupled to the vibrational modes of this lattice, treated here in terms of Einstein phonon model. The ground state corresponds to two…

Superconductivity · Physics 2009-11-07 G. Jackeli , J. Ranninger

We develop a theoretical framework for probing moir\'e phonon modes using Raman spectroscopy, and illustrate it with the example of twisted bilayer graphene (TBG). These moir\'e phonons arise from interlayer sliding motion in twisted 2D…

Strongly Correlated Electrons · Physics 2025-06-24 Vitor Dantas , Héctor Ochoa , Rafael M. Fernandes , Natalia B. Perkins

Motivated by the observation of polarization superlattices in twisted multilayers of hexagonal boron nitride ($h$-BN), we address the possibility of using these heterostructures for tailoring the properties of multilayer graphene by means…

Mesoscale and Nanoscale Physics · Physics 2023-05-29 Marta Brzezińska , Oleg V. Yazyev

Motivated by the recent discovery of superconductivity in Ca- and Yb-intercalated graphite (CaC$_{6}$ and YbC$_{6}$) and from the ongoing debate on the nature and role of the interlayer state in this class of compounds, in this work we…

Superconductivity · Physics 2016-08-14 Lilia Boeri , Giovanni B. Bachelet , Matteo Giantomassi , Ole K. Andersen

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…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 J. E. Nunn , A. McEllistrim , A. Weston , A. Garcia-Ruiz , M. D. Watson , M. Mucha-Kruczynski , C. Cacho , R. Gorbachev , V. I. Fal'ko , N. R. Wilson

We show that the insulating states of magic-angle twisted bilayer graphene support a series of collective modes corresponding to local particle-hole excitations on triangular lattice sites. Our theory is based on a continuum model of the…

Strongly Correlated Electrons · Physics 2021-07-09 Ajesh Kumar , Ming Xie , A. H. MacDonald

We fabricate a twisted trilayer graphene device with consecutive twist angles of 1.33 and 1.64 degrees, in which we electrostatically tune the electronic states from each of the two co-existing moir\'e superlattices and the interactions…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 Wei Ren , Konstantin Davydov , Ziyan Zhu , Jaden Ma , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Mitchell Luskin , Ke Wang

Moire superlattices in twisted bilayer graphene (TBG) and its derived structures can host exotic correlated quantum phenomena because the narrow moire flat minibands in those systems effectively enhance the electron-electron interaction.…

Materials Science · Physics 2021-10-18 Qiaoling Xu , Yuzheng Guo , Lede Xian

Moir\'{e} superlattices in twisted bilayer graphene and transition-metal dichalcogenides have emerged as a powerful tool for engineering novel band structures and quantum phases of two-dimensional quantum materials. Here we investigate…

Quantum Gases · Physics 2021-03-17 Xi-Wang Luo , Chuanwei Zhang

The recent discovery of correlated insulator states and superconductivity in magic-angle twisted bilayer graphene has paved the way to the experimental investigation of electronic correlations in tunable flat band systems realized in…

Collective excitations of coupled electron-phonon systems are calculated for both monolayer and bilayer graphene, taking into account the non-perturbative Coulomb coupling between electronic excitations in graphene and the substrate…

Mesoscale and Nanoscale Physics · Physics 2010-11-12 E. H. Hwang , Rajdeep Sensarma , S. Das Sarma

It is widely known that the twisted bilayer graphene (TBG) shows flat bands at magic angles, which can be well described by the effective continuum model derived by Bistritzer and MacDonald (BM). We propose in this paper a similar twisted…

Mesoscale and Nanoscale Physics · Physics 2022-04-22 Y. Soeda , K. Asaga , T. Fukui

The phonon spectra of twisted bilayer graphene (tBLG) are analyzed for a series of 692 twisting angle values in the $[0,30{\degree}]$ range. The evolution of the phonon bandstructure as a function of twist angle is examined using a band…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Michael Lamparski , Benoit Van Troeye , Vincent Meunier

Moir\'e superlattice in twisted bilayer graphene has been proven to be a versatile platform for exploring exotic quantum phases. Extensive investigations have been invoked focusing on the zero-magnetic-field phase diagram at the magic twist…

A periodic spatial modulation, as created by a moir\'e pattern, has been extensively studied with the view to engineer and tune the properties of graphene. Graphene encapsulated by hexagonal boron nitride (hBN) when slightly misaligned with…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 M. Anđelković , S. P. Milovanović , L. Covaci , F. M. Peeters

We propose a microscopic theory of interaction of long wave molecular phonons with electrons in fullerides in the presence of disorder. Phonon relaxation rate and frequency renormalization are discussed. Finite electronic bandwidth reduces…

Superconductivity · Physics 2009-10-30 V. L. Aksenov , V. V. Kabanov