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We explore the electronic ground states of Bernal-stacked multilayer graphenes using the Hartree-Fock mean-field approximation and the full-parameter band model. We find that the electron-electron interaction tends to open a band gap in…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Mikito Koshino , Kyoka Sugisawa , Edward McCann

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.…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Nikhil Tilak , Xinyuan Lai , Shuang Wu , Zhenyuan Zhang , Mingyu Xu , Raquel de Almeida Ribeiro , Paul C Canfield , Eva Y. Andrei

A transformation of the band structure in bilayer graphene (BLG) with relatively shifted layers has been studied in the framework of the tight-binding model. BLG is demonstrated to remain a zero-gap material in the whole range of…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 V. G. Litovchenko , A. I. Kurchak , M. V. Strikha

The nature of the interaction-driven spontaneously broken-symmetry state in charge neutral bilayer graphene (BLG) has attracted a lot of interest. Theoretical studies predict various ordered states as the candidates for the ground state of…

Mesoscale and Nanoscale Physics · Physics 2015-05-22 Junhua Zhang , Rahul Nandkishore , E. Rossi

Spontaneous symmetry-breaking, where the ground state of a system has lower symmetry than the underlying Hamiltonian, is ubiquitous in physics. It leads to multiply-degenerate ground states, each with a different "broken" symmetry labeled…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Jonathan S. Alden , Adam W. Tsen , Pinshane Y. Huang , Robert Hovden , Lola Brown , Jiwoong Park , David A. Muller , Paul L. McEuen

We here classify of all the fully gapped \emph{massive} and \emph{gapless} phases in bilayer graphene. The effective low energy theory in bilayer graphene is constructed, and various discrete and continuous symmetries of the non-interacting…

Strongly Correlated Electrons · Physics 2013-09-18 Bitan Roy

30$^{\circ}$ twisted bilayer graphene demonstrates the quasicrystalline electronic states with 12-fold symmetry. These states are however far away from the Fermi level, which makes conventional Dirac fermion behavior dominating the low…

Materials Science · Physics 2020-07-13 Guodong Yu , Mikhail I. Katsnelson , Shengjun Yuan

Phosphorene, a two-dimensional (2D) analog of black phosphorous, has been a subject of immense interest recently, due to its high carrier mobilities and a tunable bandgap. So far, tunability has been predicted to be obtained with very high…

Materials Science · Physics 2015-06-23 Aaditya Manjanath , Atanu Samanta , Tribhuwan Pandey , Abhishek K. Singh

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, split into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 K. Shizuya

Understanding the normal-metal state transport in twisted bilayer graphene near magic angle is of fundamental importance as it provides insights into the mechanisms responsible for the observed strongly correlated insulating and…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Indra Yudhistira , Nilotpal Chakraborty , Derek Y. H. Ho , Michael S. Fuhrer , Giovanni Vignale , Shaffique Adam

In the presence of a finite interlayer displacement field bilayer graphene has an energy gap that is dependent on stacking and largest for the stable AB and BA stacking arrangements. When the relative orientations between layers are twisted…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Dmitry K. Efimkin , Allan H. MacDonald

We investigate the effect of shear and strain in graphene bilayers, under conditions where the distortion of the lattice gives rise to a smooth one-dimensional modulation in the stacking sequence of the bilayer. We show that strain and…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 J. Gonzalez

While graphene is a semi-metal, a recently synthesized hydrogenated graphene called graphane, is an insulator. We have probed the transformation of graphene upon hydrogenation to graphane within the framework of density functional theory.…

Mesoscale and Nanoscale Physics · Physics 2012-10-05 Prachi Chandrachud , Bhalchandra S Pujari , Soumyajyoti Haldar , Biplab Sanyal , D G Kanhere

We study the electronic structure and magnetic properties of h-BN triangular clusters embedded in graphene supercells. We find that, depending on the sizes of the clusters and the graphene separation region between them, spin polarization…

Mesoscale and Nanoscale Physics · Physics 2012-12-05 Marcos G. Menezes , Rodrigo B. Capaz

The recently observed unconventional ferroelectricity in AB bilayer graphene sandwiched by hexagonal Boron Nitride (hBN) presents a new platform to manipulate correlated phases in multilayered van der Waals heterostructures. We present a…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 Ziyan Zhu , Stephen Carr , Qiong Ma , Efthimios Kaxiras

Bilayer graphene provides a unique platform to explore the rich physics in quantum Hall effect. The unusual combination of spin, valley and orbital degeneracy leads to interesting symmetry broken states with electric and magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Manabendra Kuiri , Anindya Das

We consider the instability of bilayer graphene with respect to a distorted configuration in the same spirit as the model introduced by Su, Schrieffer and Heeger. By computing the total energy of a distorted bilayer, we conclude that the…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 Vitor M. Pereira , R. M. Ribeiro , N. M. R. Peres , A. H. Castro Neto

The electronic Raman scattering of bulk graphite at zero magnetic field reveals a structureless signal characteristic of a metal. For T<~100 K and B > 2 T, several peaks at energies scaling linearly with magnetic field were observed and…

Mesoscale and Nanoscale Physics · Physics 2008-07-10 A. F. Garcia-Flores , H. Terashita , E. Granado , Y. Kopelevich

The minimum of 4-terminal conductance occurring at its charge neutral point has proven to be a robust empirical feature of graphene, persisting with changes to temperature, applied magnetic field, substrate, and layer thickness, though the…

Mesoscale and Nanoscale Physics · Physics 2017-07-17 P. Cadden-Zimansky , M. Shinn , G. T. Myers , Y. Chu , M. J. Dalrymple , H. C. Travaglini

We investigate magnetic instabilities in charge-neutral twisted bilayer graphene close to so-called "magic angles" using a combination of real-space Hartree-Fock and dynamical mean-field theories. In view of the large size of the unit cell…

Strongly Correlated Electrons · Physics 2021-12-08 Javad Vahedi , Robert Peters , Ahmed Missaoui , Andreas Honecker , Guy Trambly de Laissardière