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Using mean-field theory, we determine the electronic phase diagram of undoped AB-stacked bilayer graphene in the presence of a transverse electric field. In addition to multiple competing electronic instabilities characterized by excitonic…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 A. V. Rozhkov , A. O. Sboychakov , A. L. Rakhmanov

The multiple-spin exchange frequencies of the bilayer Wigner crystal are determined by the semiclassical method, which is asymptotically exact in the limit of dilute electron densities. The evolution of the exchange frequencies with…

Strongly Correlated Electrons · Physics 2025-03-05 Ilya Esterlis , Dmitry Zverevich , Zekun Zhuang , Alex Levchenko

We theoretically argue that, in doped AB bilayer graphene, the electron-electron coupling can give rise to the spontaneous formation of fractional metal phases. These states, being generalizations of a more common half-metal, have a Fermi…

Mesoscale and Nanoscale Physics · Physics 2023-04-19 A. L. Rakhmanov , A. V. Rozhkov , A. O. Sboychakov , Franco Nori

We report on magneto-transport measurements up to 30 T performed on a bilayer graphene Hall bar, enclosed by two thin hexagonal boron nitride flakes. Our high mobility sample exhibits an insulating state at neutrality point which evolves…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 S. Pezzini , C. Cobaleda , B. A. Piot , V. Bellani , E. Diez

We describe the gated bilayer graphene system when it is subjected to intense terahertz frequency electromagnetic radiation. We examine the electron band structure and density of states via exact diagonalization methods within Floquet…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

We demonstrate that the electronic gap of a graphene bilayer can be controlled externally by applying a gate bias. From the magneto-transport data (Shubnikov-de Haas measurements of the cyclotron mass), and using a tight binding model, we…

The quantum Hall system can be used to study many-body physics owing to its multiple internal electronic degrees of freedom and tunability. While quantum phase transitions have been studied intensively, research on the temperature-induced…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Miuko Tanaka , Kenji Watanabe , Takashi Taniguchi , Kentaro Nomura , Seigo Tarucha , Michihisa Yamamoto

We study ballistic transport in periodically gated bilayer graphene as a candidate for a 2D electronic metamaterial. Our calculations use the equilibrium Green function formalism and take into account quantum corrections to charge density…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Xianqing Lin , David Tomanek

We develop a theory for density, disorder, and temperature dependent electrical conductivity of bilayer graphene in the presence of long-range charged impurity scattering as well as an additional short-range disorder of independent origin,…

Mesoscale and Nanoscale Physics · Physics 2010-04-21 S. Das Sarma , E. H. Hwang , E. Rossi

The phase transition to ferromagnetic order in itinerant ferromagnetic superconductor UGe$_2$ as function of pressure shows change of phase transition order. At low temperature and high pressure the transition is of first order and at…

Superconductivity · Physics 2013-12-31 Diana V. Shopova

We present a theoretical investigation of the magnetic properties exhibited by twisted bilayer graphene (TBG) systems with small twist angles, where the appearance of flat minibands strongly enhances electron-electron interaction effects.…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Kevin J. U. Vidarte , Felipe Pérez Riffo , Eric Suárez Morell , Caio Lewenkopf

A graphene bilayer shows an unusual magnetoelectric response whose magnitude is controlled by the valley-isospin density, making it possible to link magnetoelectric behavior to valleytronics. Complementary to previous studies, we consider…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 Michael Kammermeier , Paul Wenk , Ulrich Zülicke

We analyze the spectroscopic features of bilayer graphene determined by the formation of pairs of low-energy and split bands in this material. We show that the inter-Landau-level absorption spectrum in bilayer graphene at high magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. L. Abergel , Vladimir I. Fal'ko

The effective theory for bilayer graphene (BLG), subject to parallel/in-plane magnetic fields, is derived. With a sizable magnetic field the trigonal warping becomes irrelevant, and one ends up with two Dirac points in the vicinity of each…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 Bitan Roy , Kun Yang

Motivated to understand the nature of the strongly insulating $\nu=0$ quantum Hall state in bilayer graphene, we develop the theory of the state in the framework of quantum Hall ferromagnetism. The generic phase diagram, obtained in the…

Strongly Correlated Electrons · Physics 2012-08-07 Maxim Kharitonov

Bilayer graphene has a unique electronic structure influenced by a complex interplay between various degrees of freedom. We probe its chemical potential using double bilayer graphene heterostructures, separated by a hexagonal boron nitride…

Mesoscale and Nanoscale Physics · Physics 2014-07-08 Kayoung Lee , Babak Fallahazad , Jiamin Xue , David C. Dillen , Kyounghwan Kim , Takashi Taniguchi , Kenji Watanabe , Emanuel Tutuc

Electronic properties of bilayer and multilayer graphene have generally been interpreted in terms of AB or Bernal stacking. However, it is known that many types of stacking defects can occur in natural and synthetic graphite; rotation of…

Materials Science · Physics 2011-11-09 J. M. B. Lopes dos Santos , N. M. R. Peres , A. H. Castro Neto

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 present measurements of the electronic compressibility, $K$, of bilayer graphene in both zero and finite magnetic fields up to 14 T, and as a function of both the carrier density and electric field perpendicular to the graphene sheet.…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 E. A. Henriksen , J. P. Eisenstein

We present a theory of competing ferromagnetic and superconducting orders in twisted double bilayer graphene (TDBG). In our theory, ferromagnetism is induced by Coulomb repulsion, while superconductivity with intervalley equal-spin pairing…

Strongly Correlated Electrons · Physics 2020-05-01 Fengcheng Wu , Sankar Das Sarma