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We combine electrostatic and magnetic confinement to define a quantum dot in bilayer graphene. The employed geometry couples $n$-doped reservoirs to a $p$-doped dot. At magnetic field values around $B = 2~$T, Coulomb blockade is observed.…

Mesoscale and Nanoscale Physics · Physics 2018-03-19 Hiske Overweg , Peter Rickhaus , Marius Eich , Yongjin Lee , Riccardo Pisoni , Kenji Watanabe , Takashi Taniguchi , Thomas Ihn , Klaus Ensslin

Electron-electron interactions play an important role in graphene and related systems and can induce exotic quantum states, especially in a stacked bilayer with a small twist angle. For bilayer graphene where the two layers are twisted by a…

We perform transport measurements in high quality bilayer graphene pnp junctions with suspended top gates. At a magnetic field B=0, we demonstrate band gap opening by an applied perpendicular electric field, with an On/Off ratio up to…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Lei Jing , Jairo Velasco , Philip Kratz , Gang Liu , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Nassima Benchtaber , David Sánchez , Llorenç Serra

We have studied the transport properties of a large graphene double quantum dot under the influence of background disorder potential and magnetic field. At low temperatures, the evolution of the charge-stability diagram as a function of…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 K. L. Chiu , M. R. Connolly , A. Cresti , J. P. Griffiths , G. A. C. Jones , C. G. Smith

Using spin-density-functional theory, we study the electronic states of a two-dimensional parabolic quantum dot with up to N=58 electrons. We observe a shell structure for the filling of the dot with electrons. Hund's rule determines the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenji Hirose , Ned S. Wingreen

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

It is known that $n$-degenerate Landau levels with the same spin-valley quantum number can be realized by $n$-layer graphene with rhombohedral stacking under magnetic field $B$. We find that the wave functions of degenerate Landau levels…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Abigail Timmel , Xiao-Gang Wen

We study symmetry-broken phases in twisted bilayer graphene at small filling above charge neutrality and at Van Hove filling. We argue that the Landau functionals for the particle-hole order parameters at these fillings both have an…

Strongly Correlated Electrons · Physics 2022-06-15 Dmitry V. Chichinadze , Laura Classen , Yuxuan Wang , Andrey V. Chubukov

We study quantum dots defined by external potentials within finite flakes of bilayer graphene using the tight-binding approach. We find that in the limit of large flakes containing zigzag edges the dot-localized energy levels appear within…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 D. P. Żebrowski , E. Wach , B. Szafran

The electronic properties of graphene are described by a Dirac Hamiltonian with a fourfold symmetry of spin and valley. This symmetry may yield novel fractional quantum Hall (FQH) states at high magnetic field depending on the relative…

Mesoscale and Nanoscale Physics · Physics 2015-01-12 F. Amet , A. J. Bestwick , J. R. Williams , L. Balicas , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

We report on magneto-transport studies of dual-gated, Bernal-stacked trilayer graphene (TLG) encapsulated in boron nitride crystals. We observe a quantum Hall effect staircase which indicates a complete lifting of the twelve-fold degeneracy…

The recent discovery of fractional quantum Hall states in graphene raises the question of whether the physics of graphene and its bilayer offers any advantages over GaAs-based materials in exploring strongly-correlated states of…

Mesoscale and Nanoscale Physics · Physics 2011-10-26 Z. Papic , R. Thomale , D. A. Abanin

We investigate the way that the degenerate manifold of midgap edge states in quasicircular graphene quantum dots with zig-zag boundaries supports, under free-magnetic-field conditions, strongly correlated many-body behavior analogous to the…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

The co-presence of multiple Dirac bands in few-layer graphene leads to a rich phase diagram in the quantum Hall regime. Using transport measurements, we map the phase diagram of BN-encapsulated ABA-stacked trilayer graphene as a function…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Petr Stepanov , Yafis Barlas , Tim Espiritu , Shi Che , Kenji Watanabe , Takashi Taniguchi , Dmitry Smirnov , Chun Ning Lau

The two-dimensional electron gas in a bilayer graphene in the Bernal stacking supports a variety of uniform broken-symmetry ground states in Landau level N=0 at integer filling factors $\nu \in [-3,4].$ When an electric potential difference…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 R. Cote , J. P. Fouquet , Wenchen Luo

Bilayer graphene under a magnetic field has an octet of quasidegenerate levels due to spin, valley, and orbital degeneracies. This zero-energy Landau level is resolved into several incompressible states whose nature is still elusive. We use…

Strongly Correlated Electrons · Physics 2016-12-28 Angelika Knothe , Thierry Jolicoeur

We investigate the addition spectrum of a graphene quantum dot in the vicinity of the electron-hole crossover as a function of perpendicular magnetic field. Coulomb blockade resonances of the 50 nm wide dot are visible at all gate voltages…

Materials Science · Physics 2009-08-04 J. Guettinger , C. Stampfer , F. Libisch , T. Frey , J. Burgdoerfer , T. Ihn , K. Ensslin

When one of the graphene layers of Magic Angle Twisted Bilayer Graphene is nearly aligned with its hexagonal boron nitride substrate (a configuration dubbed TBG/hBN), the active electronic bands are nearly flat, and have a Chern number…

Strongly Correlated Electrons · Physics 2019-12-25 Cécile Repellin , T. Senthil

We use low-temperature scanning gate microscopy (SGM) to investigate the breakdown of the quantum Hall regime in an exfoliated bilayer graphene flake. SGM images captured during breakdown exhibit intricate patterns of "hotspots" where the…

Mesoscale and Nanoscale Physics · Physics 2013-03-05 M. R. Connolly , R. K. Puddy , D. Logoteta , P. Marconcini , M. Roy , J. Griffths , G. A. C. Jones , P. Maksym , M. Macucci , C. G. Smith
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