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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

The conductance of ballistic graphene at the neutrality point is due to coherent electron tunneling between the leads, the so called pseudodiffusive regime. The conductance scales as function of the sample dimensions in the same way as in a…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 F. Guinea , M. I. Katsnelson

A possible realization of Hall conductivity, quantized at odd integer factors of $e^2/h$ for graphene's honeycomb lattice is proposed. I argue that, in the presence of \emph{uniform} real and pseudo-magnetic fields, the valley degeneracy…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 Bitan Roy

When an electron is confined to a triangular atomic thick layer of graphene [1-5] with zig-zag edges, its energy spectrum collapses to a shell of degenerate states at the Fermi level (Dirac point) [6-9]. The degeneracy is proportional to…

Materials Science · Physics 2013-05-29 A. D. Guclu , P. Potasz , O. Voznyy , M. Korkusinski , P. Hawrylak

We investigate the minimum conductivity of graphene within a quasiclassical approach taking into account electron-hole coherence effects which stem from the chiral nature of low energy excitations. Relying on an analytical solution of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Maxim Trushin , John Schliemann

We investigate the electron transport in smooth graphene pn junctions, generated by gradually varying electrostatic potentials. The numerically calculated coherent current flow patterns can be understood largely in terms of semi-classical…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Emmanuel Paredes-Rocha , Yonatan Betancur-Ocampo , Nikodem Szpak , Thomas Stegmann

We report the study of quasi-ballistic electron transport in short FETs subjected to magnetic field. Spatial distributions of electron concentrations, velocities, Hall currents and voltages in the short FET channels are determined. The…

Materials Science · Physics 2024-08-28 Mykola Yelisieiev , Vyacheslav Kochelap

Quantum point contacts (QPCs) are an essential component in mesoscopic devices. Here, we study the transmission of quantum Hall edge modes through a gate-defined QPC in monolayer graphene. We observe resonant tunneling peaks and a nonlinear…

We study theoretically edge transport of a fractional quantum Hall liquid, in the presence of a quantum dot inside the Hall bar with well controlled electron density and Landau level filling factor \nu, and show that such transport studies…

Strongly Correlated Electrons · Physics 2013-04-19 Hsin-Hua Lai , Kun Yang

We present measurements of quantized conductance in electrostatically induced quantum point contacts in bilayer graphene. The application of a perpendicular magnetic field leads to an intricate pattern of lifted and restored degeneracies…

We evaluate the transport gaps in the most prominent fractional quantum Hall states in the $\mathbf{n}{=}0$ and $\mathbf{n}{=}1$ Landau Levels of graphene, accounting for the Coulomb interaction, lattice-scale anisotropies, and one-body…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Jincheng An , Ajit C. Balram , Udit Khanna , Ganpathy Murthy

We use a semiclassical large-$S$ expansion to study a plateau at $1/3$ saturation in the magnetization curve of a frustrated ferrimagnet on a spatially anisotropic kagom\'{e} lattice. The spins have both ferromagnetic and antiferromagnetic…

Strongly Correlated Electrons · Physics 2017-03-17 Edward Parker , Leon Balents

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

Many intriguing phenomena occur for electrons under strong magnetic fields. Recently, it was proposed that an appropriate strain texture in graphene can induce a synthetic gauge field, in which the electrons behave like in a real magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xinhua Wen , Chunyin Qiu , Yajuan Qi , Liping Ye , Manzhu Ke , Fan Zhang , Zhengyou Liu

We study charge and spin transport along grain boundaries in single layer graphene in the presence of a quantizing magnetic field. Transport states in a grain boundary are produced by hybridization of Landau zero modes with interfacial…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Madeleine Phillips , E. J. Mele

We extend the low-energy effective two-band Hamiltonian for electrons in bilayer graphene (E. McCann, V. I. Fal'ko, Phys. Rev. Lett. 96 (2006) 86805) to include a spatially dependent electrostatic potential. We find that this Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2010-01-12 C. J. Poole

We investigate charge transport of pn and npn junctions made from silicene, Si analogue of graphene. The conductance shows the distinct gate-voltage dependences peculiar to the topological and non-topological phases, where the topological…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 Ai Yamakage , Motohiko Ezawa , Yukio Tanaka , Naoto Nagaosa

We use geometric considerations to study transport properties, such as the conductivity and Hall coefficient, near the onset of a nesting-driven spin density wave in a simple metal. In particular, motivated by recent experiments on…

Materials Science · Physics 2009-11-10 Ya. B. Bazaliy , R. Ramazashvili , Q. Si , M. R. Norman

We report experimental observation of the reentrant integer quantum Hall effect in graphene, appearing in the N$=$2 Landau level. Similar to high-mobility GaAs/AlGaAs heterostructures, the effect is due to a competition between…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Shaowen Chen , Rebeca Ribeiro-Palau , Kang Yang , Kenji Watanabe , Takashi Taniguchi , James Hone , Mark O. Goerbig , Cory R. Dean

Graphene on a substrate has been shown to exhibit a transition, depending on the substrate material, from a zero-gap semiconductor state to a semimetallic state. The ground-state energy of the electron (hole) gas has been calculated within…

Other Condensed Matter · Physics 2008-05-30 P. V. Ratnikov