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We consider tunneling transport between two parallel graphene sheets where one is a single-layer sample and the other one a bilayer. In the presence of an in-plane magnetic field, the interplay between combined energy and momentum…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 L Pratley , U. Zuelicke

We investigate the electronic dispersion and transport properties of graphene/WSe$_{2}$ heterostructures in the presence of a proximity-induced spin-orbit coupling $\lambda_{v}$, sublattice potential $\Delta$, and an off-resonant circularly…

Mesoscale and Nanoscale Physics · Physics 2023-07-07 M. Zubair , P. Vasilopoulos , M. Tahir

Mechanical deformations of graphene induce a term in the Dirac Hamiltonian which is reminiscent of an electromagnetic vector potential. Strain gradients along particular lattice directions induce local pseudomagnetic fields and substantial…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Eran Sela , Yakov Bloch , Felix von Oppen , Moshe Ben Shalom

We have developed a device fabrication process to pattern graphene into nanostructures of arbitrary shape and control their electronic properties using local electrostatic gates. Electronic transport measurements have been used to…

Mesoscale and Nanoscale Physics · Physics 2008-04-14 Barbaros Özyilmaz , Pablo Jarillo-Herrero , Dmitri Efetov , Dmitri A. Abanin , Leonid S. Levitov , Philip Kim

We investigate a valleytronic device based on graphene with charge separation at different sublattices and correspondingly at nonequivalent valleys. We characterize the maximality condition of valley polarization and investigate the…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Hamed Koochaki Kelardeh , Mohammadreza Eidi , Takashi Oka , Jan Michael Rost

Electron bands in the untwisted bilayer graphene flatten out in a transverse electric field, offering a promising platform for correlated electron physics. We predict that the spin/valley isospin magnetism, resembling that seen in moir\'{e}…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Zhiyu Dong , Margarita Davydova , Olumakinde Ogunnaike , Leonid Levitov

We consider the time-reversal odd dynamics of the bilayer graphene at low energies in the quantum Hall regime. A generating functional for the effective action that captures the electromagnetic response to all orders in momentum and…

Mesoscale and Nanoscale Physics · Physics 2021-02-04 Wei-Han Hsiao

We model the quantum Hall effect in heterostructures made of two gapped graphene stripes with different gaps, $\Delta_1$ and $\Delta_2$. We consider two main situations, $\Delta_1=0,\Delta_2\neq0$ and $\Delta_1=-\Delta_2$. They are…

Mesoscale and Nanoscale Physics · Physics 2013-08-01 J. L. Lado , J. W. González , J. Fernández-Rossier

It is quite easy to control spin polarization and spin direction of a system via magnetic fields. However, there is no such a direct and efficient way to manipulate valley pseudospin degree of freedom. Here, we demonstrate experimentally…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Si-Yu Li , Ying Su , Ya-Ning Ren , Lin He

We use Pseudo Quantum Electrodynamics (PQED) in order to describe the full electromagnetic interaction of the p-electrons of graphene in a consistent 2D formulation. We first consider the effect of this interaction in the vacuum…

Strongly Correlated Electrons · Physics 2015-04-08 E. C. Marino , Leandro O. Nascimento , Van Sergio Alves , C. Morais Smith

Berry curvature is analogous to magnetic field but in momentum space and is commonly present in materials with non-trivial quantum geometry. It endows Bloch electrons with transverse anomalous velocities to produce Hall-like currents even…

We report on mesoscopic transport fingerprints in disordered graphene caused by strain-field induced pseudomagnetic Landau levels (pLLs). Efficient numerical real space calculations of the Kubo formula are performed for an ordered network…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Mikkel Settnes , Nicolas Leconte , Jose E. Barrios-Vargas , Antti-Pekka Jauho , Stephan Roche

Valley-polarized quantum Hall states in graphene are described by a Heisenberg O(3) ferromagnet model, with the ordering type controlled by the strength and sign of valley anisotropy. A mechanism resulting from electron coupling to…

Mesoscale and Nanoscale Physics · Physics 2008-04-14 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

Intrinsic Hall conductivity, emerging when chiral symmetry is broken, is at the heart of future low energy consumption devices because it can generate non-dissipative charge neutral current. A symmetry breaking state is also induced by…

We present a single electron approach to analyse the magnetotransport properties of the monolayer graphene as a function of both, the gate voltage and the magnetic field; and, also, their evolution with temperature. The model proposed means…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 M. A. Hidalgo

Two different gauge potential methods are engaged to calculate explicitly the spin Hall conductivity in graphene. The graphene Hamiltonian with spin-orbit interaction is expressed in terms of kinematic momenta by introducing a gauge…

Mathematical Physics · Physics 2015-03-17 O. F. Dayi , E. Yunt

A yet unexplored area in graphene electronics is the field of quantum ballistic transport through graphene nanostructures. Recent developments in the preparation of high mobility graphene are expected to lead to the experimental…

We study analytically and numerically the magnetotransport of strained graphene in a Corbino geometry gating in the presence of an external perpendicular magnetic field. The conductance of the Corbino disc of deformed graphene with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Zahra Khatibi , Habib Rostami , Reza Asgari

The extreme mechanical resilience of graphene and the peculiar coupling it hosts between lattice and electronic degrees of freedom have spawned a strong impetus towards strain-engineered graphene where, on the one hand, strain augments the…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 Gareth W. Jones , D. A. Bahamon , A. H. Castro Neto , Vitor M. Pereira

The quantum Hall effect in graphene p-n junctions is studied numerically with emphasis on the effect of disorder at the interface of two adjacent regions. Conductance plateaus are found to be attached to the intensity of the disorder, and…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Shun-Qing Shen