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We have studied the quantum transport in a narrow constriction acted upon by a finite-range longitudinally polarized time-dependent electric field. The electric field induces coherent inelastic scatterings which involve both intra-subband…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. S. Tang , C. S. Chu

Controlling the properties of materials by driving them out of equilibrium is an exciting prospect that has only recently begun to be explored. In this paper we give a striking theoretical example of such materials design: a tunable gap in…

Mesoscale and Nanoscale Physics · Physics 2013-04-29 Thomas Iadecola , David Campbell , Claudio Chamon , Chang-Yu Hou , Roman Jackiw , So-Young Pi , Silvia Viola Kusminskiy

We observe the magnetic oscillation of electric conductance in the two-dimensional InAs/GaSb quantum spin Hall insulator. Its insulating bulk origin is unambiguously demonstrated by the antiphase oscillations of the conductance and the…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Zhongdong Han , Tingxin Li , Long Zhang , Gerard Sullivan , Rui-Rui Du

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependent scattering effect. We compute the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Dima Bolmatov , D. V. Zavialov

We present electron transport measurements on lithographically defined and etched graphene nanoconstrictions with different aspect ratios including different lengths (L) and widths (W). A roughly length-independent disorder induced…

Mesoscale and Nanoscale Physics · Physics 2011-04-13 B. Terrés , J. Dauber , C. Volk , S. Trellenkamp , U. Wichmann , C. Stampfer

We present analytical expressions for the eigenstates and eigenvalues of electrons confined in a graphene monolayer in the presence of a disclination. The calculations are performed in the continuum limit approximation in the vicinity of…

Mesoscale and Nanoscale Physics · Physics 2017-11-03 Debabrata Sinha , Bertrand Berche

A scalable tight-binding model is applied for large-scale quantum transport calculations in clean graphene subject to electrostatic superlattice potentials, including two types of graphene superlattices: moir\'e patterns due to the stacking…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Szu-Chao Chen , Rainer Kraft , Romain Danneau , Klaus Richter , Ming-Hao Liu

Dirac fermions interacting with a cylindrically symmetric quantum dot potential created in single and bilayer graphene are not confined but form quasi-bound states. The broadening of these quasi-bound states (i. e. the inverse of their…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Matulis , F. M. Peeters

We show that surface plasmons of a two-dimensional Dirac metal such as graphene can be reflected by line-like perturbations hosting one-dimensional electron states. The reflection originates from a strong enhancement of the local optical…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Bor-Yuan Jiang , Guangxin Ni , Cheng Pan , Zhe Fei , Bin Cheng , Chun Ning Lau , Marc Bockrath , Dimitri N. Basov , Michael M. Fogler

We theoretically studied the quasiparticle transport in a 2D electron gas biased in the quantum Hall regime and in the presence of a lateral potential barrier. The lateral junction hosts the specific magnetic field dependent quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2017-04-28 A. M. Kadigrobov , M. V. Fistul

In 2004 we have shown that substantial part of conductivity in graphite is provided by holes with massless linear spectrum - Dirac Fermions that coexist with massive normal carriers - electrons. In a recent Letter [Phys. Rev. Lett. 102,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Igor A. Luk'yanchuk , Yakov Kopelevich

In graphene, long-wavelength deformations that result in elastic shear strain couple to the low-energy Dirac electrons as pseudogauge fields. Using a scalable tight-binding model, we consider analogs to magnetotransport in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Alina Mreńca-Kolasińska , Christophe De Beule , Jia-Tong Shi , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter , Ming-Hao Liu

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-like low-energy excitations. When Zeeman and spin-orbit interactions are neglected its Landau levels are four-fold degenerate, explaining the $4 e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2008-06-30 Kentaro Nomura , A. H. MacDonald

This thesis studies how the rudimentary attributes of graphene's charge carriers, and local moments on its surface, can be directly manipulated and controlled with electrostatic potentials. We first consider bilayer graphene subject to a…

Strongly Correlated Electrons · Physics 2013-09-25 Matthew Killi

Quantum corrections to charge transport can give rise to an oscillatory magnetoconductance, typically observed in mesoscopic samples with a length shorter than or comparable with the phase coherence length. Here, we report the observation…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 C. W. Rischau , S. Wiedmann , G. Seyfarth , D. LeBoeuf , K. Behnia , B. Fauqué

Single-layer carbon, or graphene, demonstrates amazing transport properties, such as the minimum conductivity near $\frac{4e^2}{h}$ independent of shapes and mobility of samples. This indicates there exist some unusual effects due to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shi-Jie Xiong , Ye Xiong

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

One- and two-layer graphene have recently been shown to feature new physical phenomena such as unconventional quantum Hall effects and prospects of supporting a non-silicon technological platform using epitaxial graphene. While both one-…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 C. P. Puls , N. E. Staley , Y. Liu

We show that the low temperature electron transport properties of chemically functionalized graphene can be explained as sequential tunneling of charges through a two dimensional array of graphene quantum dots (GQD). Below 15 K, a total…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Daeha Joung , Lei Zhai , Saiful I. Khondaker

A remarkable manifestation of the quantum character of electrons in matter is offered by graphene, a single atomic layer of graphite. Unlike conventional solids where electrons are described with the Schrodinger equation, electronic…

Mesoscale and Nanoscale Physics · Physics 2008-09-16 Z. Q. Li , E. A. Henriksen , Z. Jiang , Z. Hao , M. C. Martin , P. Kim , H. L. Stormer , D. N. Basov