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We study many-body ground states for the partial integer fillings of the $N=1$ Landau level in graphene, by constructing a model that accounts for the lattice scale corrections to the Coulomb interactions. Interestingly, in contrast to the…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 Nikolaos Stefanidis , Inti Sodemann Villadiego

We extensively investigate the electronic and transport properties of a twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Priyanka Sinha , Ayan Mondal , Simão Meneses João , Bheema Lingam Chittari

Spectral and transport properties of electrons in confined phosphorene systems are investigated in a five hopping parameter tight-binding model, using analytical and numerical techniques. The main emphasis is on the properties of the…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 B. Ostahie , A. Aldea

We present a study of a graphene-based Josephson junction with dedicated side gates carved from the same sheet of graphene as the junction itself. These side gates are highly efficient, and allow us to modulate carrier density along either…

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to close fluid-dynamic equations for quantum mixed states. To this…

Mathematical Physics · Physics 2019-05-27 Nicola Zamponi , Luigi Barletti

Resonant transmission through electronic quantum states that exist at the zero points of a magnetic field gradient inside a ballistic quantum wire is reported. Since the semiclassical motion along such a line of zero magnetic field takes…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 B. Schüler , M. Cerchez , Hengyi Xu , J. Schluck , T. Heinzel , D. Reuter , A. D. Wieck

We review a calculation of the quantum corrections to electrical transport in graphene using the trajectory-based semiclassical method. Compared to conventional metals, for graphene the semiclassical propagator contains an additional…

Mesoscale and Nanoscale Physics · Physics 2014-07-22 Martin Schneider , Piet W. Brouwer

We have measured a strong increase of the low-temperature resistivity $\rho_{xx}$ and a zero-value plateau in the Hall conductivity $\sigma_{xy}$ at the charge neutrality point in graphene subjected to high magnetic fields up to 30 T. We…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 A. J. M. Giesbers , L. A. Ponomarenko , K. S. Novoselov , A. K. Geim , M. I. Katsnelson , J. C. Maan , U. Zeitler

Using a semi-classical approach and input from experiments on the conductivity of graphene, we determine the electronic density dependence of the electronic transport coefficients -- conductivity, thermal conductivity and thermopower -- of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. M. R. Peres , J. M. B. Lopes dos Santos , T. Stauber

Electrical transport in three dimensional topological insulators(TIs) occurs through spin-momentum locked topological surface states that enclose an insulating bulk. In the presence of a magnetic field, surface states get quantized into…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Abhishek Banerjee , Ananthesh Sundaresh , Sangram Biswas , R. Ganesan , Diptiman Sen , P. S. Anil Kumar

The Moore-Read Pfaffian $\nu=5/2$ quantum Hall state is a p-wave super-conductor of composite fermions. Small deviations from $\nu=5/2$ result in the formation of an array of vortices within this super-conductor, each supporting a Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-03-30 Eytan Grosfeld , Ady Stern

In the half-filled zero-energy Landau level of bilayer graphene, competing phases with spontaneously broken symmetries and an intriguing quantum critical behavior have been predicted. Here we investigate signatures of these broken-symmetry…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Falko Pientka , Jonah Waissman , Philip Kim , Bertrand I. Halperin

Recent transport experiments have established that two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} =\nu - \lbrack \nu \rbrack$, have ground states with broken orientational symmetry. In a mean-field…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald , Matthew P. A. Fisher

The ballistic motion of carriers of graphene in an orthogonal electromagnetic field is investigated to explain Hall conductance of graphene under experimental conditions. With the electrical field, all electronic eigen-states have the same…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ji Luo

We report on transport measurements of the insulating state that forms at the charge neutrality point of graphene in a magnetic field. Using both conventional two-terminal measurements, sensitive to bulk and edge conductance, and Corbino…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Yue Zhao , Paul Cadden-Zimansky , Fereshte Ghahari , Philip Kim

Spatial manipulation of current flow in graphene could be achieved through the use of a tilted pn junction. We show through numerical simulation that a pseudo-Hall effect (i.e. non-equilibrium charge and current density accumulating along…

Mesoscale and Nanoscale Physics · Physics 2009-12-20 Tony Low , Joerg Appenzeller

We compare the conductance of an undoped graphene sheet with a small region subject to an electrostatic gate potential for the cases that the dynamics in the gated region is regular (disc-shaped region) and classically chaotic (stadium).…

Mesoscale and Nanoscale Physics · Physics 2009-06-10 J. H. Bardarson , M. Titov , P. W. Brouwer

The quasi-bound and scattered states in a 2DEG subjected to a circular symmetric steplike magnetic profile with zero average magnetic field are studied. We calculate the effect of a random distribution of such identical profiles on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Reijniers , F. M. Peeters , A. Matulis

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder. We show that the transport properties of the system depend strongly on the character of disorder. Away from half filling, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin
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