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Anderson impurity problem is considered for a graphene bilayer subject to a gap-opening bias. In-gap localized states are produced even when the impurity level overlaps with the continuum of band electrons. The effect depends strongly on…

Mesoscale and Nanoscale Physics · Physics 2013-04-18 V. V. Mkhitaryan , E. G. Mishchenko

Numerical calculations have been performed to elucidate unconventional electronic transport properties in disordered nanographene ribbons with zigzag edges (zigzag ribbons). The energy band structure of zigzag ribbons has two valleys that…

Mesoscale and Nanoscale Physics · Physics 2009-01-07 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist

We study a two-terminal graphene Josephson junction with contacts shaped to form a narrow constriction, less than 100nm in length. The contacts are made from type II superconducting contacts and able to withstand magnetic fields high enough…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 M. T. Wei , A. W. Draelos , A. Seredinski , C. T. Ke , H. Li , Y. Mehta , K. Watanabe , T. Taniguchi , M. Yamamoto , S. Tarucha , G. Finkelstein , F. Amet , I. V. Borzenets

We theoretically analyse the possibility to electrostatically confine electrons in circular quantum dot arrays, impressed on contacted graphene nanoribbons by top gates. Utilising exact numerical techniques, we compute the scattering…

Mesoscale and Nanoscale Physics · Physics 2016-04-21 Holger Fehske , Georg Hager , Andreas Pieper

Graphene is a nonmagnetic semimetal and cannot be directly used as electronic or spintronic devices. We demonstrate that graphene quantum dots (GQDs) can exhibit strong edge magnetism and tunable energy gaps due to the presence of localized…

Materials Science · Physics 2017-11-01 Wei Hu , Yi Huang , Lin Lin , Erjun Kan , Xingxing Li , Chao Yang , Jinlong Yang

It is demonstrated that there is a characteristic impurity concentration, at which variation with concentration and overall appearance of the local density of states at the impurity site in graphene are changing their behavior. Features…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yuriy V. Skrypnyk , Vadim M. Loktev

The effect of an electron-hole puddle on the electrical transport when governed by snake states in a bipolar graphene structure is investigated. Using numerical simulations we show that information on the size and position of the…

Mesoscale and Nanoscale Physics · Physics 2016-03-25 Slavisa P. Milovanovic , Francois M. Peeters

Properties of the boundary of two conductors in a quantizing magnetic field are studied: with conventional Dirac charge carriers and so-called pseudospin-1 fermions, which are realized in graphene-like and Lieb lattices respectively. It is…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 I. V. Kozlov , Yu. A. Kolesnichenko

Graphene nanoribbons (GNRs) are natural waveguides for electrons in graphene. Nevertheless, unlike micron-sized samples, conductance is nearly suppressed in these narrow graphene stripes, mainly due to scattering with edge disorder…

Mesoscale and Nanoscale Physics · Physics 2022-10-28 E. J. Robles-Raygoza , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos

The problem of a magnetic impurity, atomic or molecular, absorbed on top of a carbon atom in otherwise clean graphene is studied using the numerical renormalization group. The spectral, thermodynamic, and scattering properties of the…

Strongly Correlated Electrons · Physics 2009-01-27 P. S. Cornaglia , Gonzalo Usaj , C. A. Balseiro

We study transport of two-dimensional quasi-relativistic electronic excitations in graphene in the presence of static long-range-correlated random scalar and vector potentials. Using a combination of perturbation theory and path-integral…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 D. V. Khveshchenko

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

In this paper, we will construct the coherent states for a Dirac electron in graphene placed in a constant homogeneous magnetic field which is orthogonal to the graphene surface. First of all, we will identify the appropriate annihilation…

Mathematical Physics · Physics 2019-02-08 Erik Díaz-Bautista , David J. Fernandez C

Spin orbit coupling changes graphene, in principle, into a two-dimensional topological insulator, also known as quantum spin Hall insulator. One of the expected consequences is the existence of spin-filtered edge states that carry…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Gosálbez-Martínez , D. Soriano , J. J. Palacios , J. Fernández-Rossier

In inhomogeneously strained graphene, low-energy electrons experience a valley-antisymmetric pseudo-magnetic field which leads to the formation of localized states at the edge between the valence and conduction bands, understood in terms of…

Mesoscale and Nanoscale Physics · Physics 2013-10-22 Diana A. Gradinar , Marcin Mucha-Kruczyński , Henning Schomerus , Vladimir I. Fal'ko

We investigate the effects of wedge disclination on charge carriers in circular graphene quantum dots subjected to a magnetic flux. Using the asymptotic solutions of the energy spectrum for large arguments, we approximate the scattering…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Ahmed Bouhlal , Ahmed Jellal , Nurisya Mohd Shah

The electron states in a size-quantaized coated semiconductor wire in a uniform magnetic field applied parallel to the wire axis is considered. The wave functions are found and the equation for determination of energy eigenvalues depending…

Condensed Matter · Physics 2007-05-23 M. M. Aghasyan A. A. Kirakosyan

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

The effect of an inhomogeneous magnetic field which varies inversely as distance on the ground state energy level of graphene is studied. In this work, we analytically show that graphene under the influence of a magnetic field arising from…

Strongly Correlated Electrons · Physics 2011-07-05 M. R. Setare , D. Jahani

Time-reversal symmetry breaking superconductors are exotic phases of matter with fascinating properties, which are, however, encountered rather sparsely. Here we identify the possibility of realizing such a superconducting ground state that…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 Bitan Roy , Vladimir Juricic