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Electron bands in the untwisted bilayer graphene flatten out in a transverse electric field, offering a promising platform for correlated electron physics. We predict that the spin/valley isospin magnetism, resembling that seen in moir\'{e}…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Zhiyu Dong , Margarita Davydova , Olumakinde Ogunnaike , Leonid Levitov

Emergent phenomena arising from the collective behavior of electrons is generally expected when Coulomb interactions dominate over the kinetic energy, as in delocalized quasiparticles in highly degenerate flat bands. Bernal-stacked bilayer…

We argue that at finite carrier density and large displacement fields, bilayer graphene is prone to $\ell =0$ and $\ell = 1$ Pomeranchuk Fermi surface instabilities. The broken symmetries are driven by non-local exchange interactions which…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Jeil Jung , Marco Polini , Allan H. MacDonald

Recent experiments on graphene multilayers under displacement field have demonstrated a wide variety of electronically ordered phases, including valley and/or spin polarized phases as well as potentially unconventional superconducting…

Strongly Correlated Electrons · Physics 2026-05-27 R. David Mayrhofer , Andrey V. Chubukov

Interactions among charge carriers in graphene can lead to the spontaneous breaking of multiple degeneracies. When increasing the number of graphene layers following rhombohedral stacking, the dominant role of Coulomb interactions becomes…

Ferroelectricity in atomically thin bilayer structures has been recently predicted1 and measured[2-4] in two-dimensional (2D) materials with hexagonal non-centrosymmetric unit-cells. Interestingly, the crystal symmetry translates lateral…

We analyze intrinsic nonlinearities in two-dimensional polaritonic materials interacting with an optical wave. Focusing on the case of graphene, we show that the second-order nonlinear optical conductivity due to carrier density…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Christian Wolff , Christos Tserkezis , N. Asger Mortensen

Application of the magnetic field parallel to the plane of the graphene sheet leads to the formation of electron- and hole-like Fermi surfaces. Such situation is shown to be unstable with respect to the formation of an excitonic condensate…

Mesoscale and Nanoscale Physics · Physics 2012-04-10 I. L. Aleiner , D. E. Kharzeev , A. M. Tsvelik

Graphene multilayers exhibit electronic spectra that depend sensitively on both the number of layers and their stacking order. Beyond trilayer graphene, mixed stacking sequences (alternating Bernal and rhombohedral layers) give rise to…

We calculate the temperature-dependent charge carrier transport of bilayer graphene (BLG) impacted by Coulomb impurity scattering within the random phase approximation. We find the polarizability is equal to the density of states at zero…

Mesoscale and Nanoscale Physics · Physics 2010-05-18 Min Lv , Shaolong Wan

This paper aims to clarify the nature of a surprising ordered phase recently reported in biased Bernal bilayer graphene that occurs at the phase boundary between the isospin-polarized and unpolarized phases. Strong nonlinearity of transport…

Strongly Correlated Electrons · Physics 2024-04-30 Zhiyu Dong , Patrick A. Lee , Leonid Levitov

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

Application of a displacement field opens a gap and enhances the Van-Hove singularities in the band structure of Bernal-stacked bilayer graphene. By adjusting the carrier density so that the Fermi energy lies in the vicinity of these…

Strongly Correlated Electrons · Physics 2026-03-20 Enrique Aguilar-Méndez , Titus Neupert , Glenn Wagner

Magnetism typically arises from the effect of exchange interactions on highly localized fermionic wave functions in f- and d-atomic orbitals. In rhombohedral multilayer graphene (RMG), in contrast, magnetism-manifesting as spontaneous…

Ferroelectricity (Valasek, J. Phys. Rev. 1921, 17, 475) - a spontaneous formation of electric polarisation - is a solid state phenomenon, usually, associated with ionic compounds or complex materials. Here we show that, atypically for…

Materials Science · Physics 2023-05-29 Aitor Garcia-Ruiz , Vladimir Enaldiev , Andrew McEllistrim , Vladimir I. Fal'ko

We theoretically predict that the motion of a polar crystalline layer between two graphene planes exerts Coulomb drag on electrons in graphene, inducing a DC drag current. The physical mechanism underlying this drag arises from intervalley…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 A. L. Chudnovskiy

The magnetism by the edge states in graphene is investigated theoretically. An instability of the pseudo-spin order of the edge states induces ferrimagnetic order in the presence of the Coulomb interaction. Although the next…

Mesoscale and Nanoscale Physics · Physics 2008-04-28 Ken-ichi Sasaki , Riichiro Saito

Bilayer graphene subjected to perpendicular magnetic and electric fields displays a subtle competition between different symmetry broken phases, resulting from an interplay between the internal spin and valley degrees of freedom. The…

Strongly Correlated Electrons · Physics 2015-04-14 Kusum Dhochak , Efrat Shimshoni , Erez Berg

In two-dimensional materials where interacting Fermi pockets occur in valleys related by time-reversal symmetry, a spontaneous valley imbalance results in a novel state known as an orbital magnet. Due to the breaking of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Fernando Peñaranda , Fernando de Juan

We investigate the total energies of spontaneous spin-valley polarized states in bi-, tri-, and tetralayer rhombohedral graphene where the long-range Coulomb correlations are accounted for within the random phase approximation. Our analysis…

Mesoscale and Nanoscale Physics · Physics 2023-07-13 Yunsu Jang , Youngju Park , Jeil Jung , Hongki Min
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