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The non-interacting energy spectrum of graphene and its bilayer counterpart consists of multiple degeneracies owing to the inherent spin, valley and layer symmetries. Interactions among charge carriers are expected to spontaneously break…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. Thomas Weitz , Monica T. Allen , Benjamin E. Feldman , Jens Martin , Amir Yacoby

The effects of topology and electron-electron interactions on the phase diagram of ABC stacked trilayer graphene (TLG) at the neutrality point are investigated within a weak coupling renormalization group approach. We find that the leading…

Strongly Correlated Electrons · Physics 2012-10-19 Vladimir Cvetkovic , Oskar Vafek

AA-stacked bilayer graphene supports Fermi circles in its bonding and antibonding bands which coincide exactly, leading to symmetry-breaking in the presence of electron-electron interactions. We analyze a continuum model of this system in…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 L. Brey , H. A. Fertig

We use a perturbative renormalization group approach with short-range continuum model interactions to analyze the competition between isotropic gapped and anisotropic gapless ordered states in bilayer graphene, commenting specifically on…

Strongly Correlated Electrons · Physics 2015-03-20 Fan Zhang , Hongki Min , A. H. MacDonald

While single-layer graphene shows extraordinary phenomena which are stable against electronic interactions, the non-interacting state of bilayer graphene is unstable to infinitesimal interactions leading to one of many possible exotic…

Mesoscale and Nanoscale Physics · Physics 2013-02-07 Lijun Zhu , Vivek Aji , Chandra M. Varma

Broken symmetry states in bilayer graphene in perpendicular electric $E_\perp$ and in-plane magnetic $B_\parallel$ fields are studied in the presence of the dynamically screened long-range Coulomb interaction and the symmetry-breaking…

Strongly Correlated Electrons · Physics 2017-01-16 Junji Jia , P. K. Pyatkovskiy , E. V. Gorbar , V. P. Gusynin

We study the ground state properties of an ABA-stacked trilayer graphene. The low energy band structure can be described by a combination of both a linear and a quadratic particle-hole symmetric dispersions, reminiscent of monolayer- and…

Mesoscale and Nanoscale Physics · Physics 2012-03-08 Ralph van Gelderen , Lih-King Lim , C. Morais Smith

Trilayer graphene exhibits valley-protected gapless states when the stacking order changes from ABC to CBA and a gate voltage is applied to outer layers. Some of these states survive strong distortions of the trilayer. For example, they…

Mesoscale and Nanoscale Physics · Physics 2023-09-29 Wlodzimierz Jaskolski

We present the electronic band structures of states with the same symmetry as the three-sublattice planar antiferromagnetic order of the triangular lattice. Such states can also be defined on the honeycomb lattice provided the spin density…

Strongly Correlated Electrons · Physics 2018-08-15 Alex Thomson , Shubhayu Chatterjee , Subir Sachdev , Mathias S. Scheurer

We implement a self-consistent Hartree-Fock approximation based on a microscopic model in real space, which allows us to consider the interplay between the Hubbard and the extended Coulomb interaction in twisted bilayer graphene at the…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 J. Gonzalez , T. Stauber

Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We…

Mesoscale and Nanoscale Physics · Physics 2012-02-14 Allan H. MacDonald , Jeil Jung , Fan Zhang

Motivated by the recently observed insulating states in twisted bilayer graphene, we study the nature of the correlated insulating phases of the twisted bilayer graphene at commensurate filling fractions. We use the continuum model and…

Strongly Correlated Electrons · Physics 2020-07-23 Yi Zhang , Kun Jiang , Ziqiang Wang , Fuchun Zhang

We show nonlinear transport experiments on clean, suspended bilayer graphene that reveal a gap in the density of states. Looking at the evolution of the gap in magnetic fields of different orientation, we find that the groundstate is a…

Mesoscale and Nanoscale Physics · Physics 2013-04-16 Frank Freitag , Markus Weiss , Romain Maurand , Jelena Trbovic , Christian Schönenberger

The ABC-stacked N-layer-graphene family of two-dimensional electron systems is described at low energies by two remarkably flat bands with Bloch states that have strongly momentum-dependent phase differences between carbon pi-orbital…

Materials Science · Physics 2010-07-12 Fan Zhang , Bhagawan Sahu , Hongki Min , Allan H. MacDonald

In the presence of axial magnetic fields that can be realized in deliberately buckled monolayer graphene, quasi-relativistic Dirac fermions may find themselves in a variety of broken symmetry phases even for weak interactions. Through a…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 Bitan Roy , Jay D. Sau

We investigate gated trilayer graphene partially devoid of outer layers and forming a system of two trilayers connected by a single layer of graphene. A difference in the stacking order of trilayers leads to the appearance of gapless…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Wlodzimierz Jaskolski

Graphene [1] and its bilayer have generated tremendous excitement in the physics community due to their unique electronic properties [2]. The intrinsic physics of these materials, however, is partially masked by disorder, which can arise…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 Benjamin E. Feldman , Jens Martin , Amir Yacoby

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

We propose a spectroscopic method of identifying broken symmetry states of bilayer graphene. We demonstrate theoretically that, in contrast to gapped states, a strained bilayer crystal or nematic phase of the electronic liquid are…

Mesoscale and Nanoscale Physics · Physics 2012-11-01 D. S. L. Abergel , Vladimir I. Fal'ko

Strongly interacting electrons in solid-state systems often display tendency towards multiple broken symmetries in the ground state. The complex interplay between different order parameters can give rise to a rich phase diagram. Here, we…

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