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We investigate the quantum Hall effect in graphene. We argue that in graphene in presence of an external magnetic field there is dynamical generation of mass by a rearrangement of the Dirac sea. We show that the mechanism breaks the lattice…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Paolo Cea

This work performs a numerical study of electron transport through the fundamental logic gate in valleytronics - a valley valve consisting of two or increasing number of valley filters. Various typical effects on the transport are…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Jia-Huei Jiang , Ning-Yuan Lue , Feng-Wu Chen , Yu-Shu G. Wu

Valley Hall effect is an appearance of the valley current in the direction transverse to the electric current. We develop the microscopic theory of the valley Hall effect in two-dimensional semiconductors where the electrons are dragged by…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 M. M. Glazov , L. E. Golub

In graphene, the valleys represent spin-like quantities and can act as a physical resource in valley-based electronics to novel quantum computation schemes. Here we demonstrate a direct route to tune and read the valley quantum states of…

Mesoscale and Nanoscale Physics · Physics 2012-06-19 Atindra Nath Pal , Vidya Kochat , Arindam Ghosh

It is known that the lowest propagating mode in a narrow ballistic ribbon of graphene may lack the twofold valley degeneracy of higher modes. Depending on the crystallographic orientation of the ribbon axis, the lowest mode mixes both…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Rycerz , J. Tworzydlo , C. W. J. Beenakker

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

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

Topological materials may exhibit Hall-like currents flowing transversely to the applied electric field even in the absence of a magnetic field. In graphene superlattices, which have broken inversion symmetry, topological currents…

We employ a quantum Liouville equation with relaxation to model the recently observed anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized light. In the weak-field regime, we demonstrate that the Hall…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 S. A. Sato , J. W. McIver , M. Nuske , P. Tang , G. Jotzu , B. Schulte , H. Hübener , U. De Giovannini , L. Mathey , M. A. Sentef , A. Cavalleri , A. Rubio

We propose a simple, yet highly efficient and robust device for producing valley polarized current in graphene. The device comprises of two distinct components; a region of uniform uniaxial strain, adjacent to an out-of-plane magnetic…

Mesoscale and Nanoscale Physics · Physics 2010-08-06 T. Fujita , M. B. A. Jalil , S. G. Tan

Spin splitting of the energy spectrum of single-layer graphene on Au/Ni(111) substrate has been recently reported. I show that eigenstates of spin-orbit coupled graphene are polarized in-plane and perpendicular to electron momentum $\bf k$;…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Emmanuel I. Rashba

Despite many reports of valley-related phenomena in graphene and its multilayers, current transport experiments cannot probe valley phenomena without the application of external fields. Here we propose a gate-defined valley splitter as a…

Mesoscale and Nanoscale Physics · Physics 2025-02-26 Juan Daniel Torres Luna , Kostas Vilkelis , Antonio L. R. Manesco

We discuss valley current, which is carried by quasiparticles in graphene. We show that the valley current arises owing to a peculiar term in the electron-phonon collision integral that mixes the scalar and vector gauge-field-like vertices…

Mesoscale and Nanoscale Physics · Physics 2023-05-10 Ankang Liu , Alexander M. Finkel'stein

Superconductivity and the quantum Hall effect are conventionally regarded as mutually exclusive: superconductivity is suppressed by magnetic fields, whereas the quantum Hall effect relies on them. Here we report a striking exception, where…

We show that a moderately strong constant electric field in the plane of a monolayer graphene sheet can create particle-hole pairs at an observable rate. The pairs undergo zitterbewegung in opposite directions leading to a Hall-like…

Mesoscale and Nanoscale Physics · Physics 2008-06-03 J. C. Martinez , M. B. A. Jalil , S. G. Tan

We investigate the emerging consequences of an applied strong in-plane electric field on a macroscopically large graphene sheet subjected to a perpendicular magnetic field, by determining in exact analytical form various many-body…

General Physics · Physics 2018-02-07 Georgios Konstantinou , Konstantinos Moulopoulos

We examine the quantum Hall effect in bilayer graphene grown on Cu substrates by chemical vapor deposition. Spatially resolved Raman spectroscopy suggests a mixture of Bernal (A-B) stacked and rotationally faulted (twisted) domains.…

Mesoscale and Nanoscale Physics · Physics 2012-05-21 Babak Fallahazad , Yufeng Hao , Kayoung Lee , Seyoung Kim , R. S. Ruoff , E. Tutuc

We analyze the quantum Hall effect in single layer graphene with bilayer stripe defects. Such defects are often encountered at steps in the substrate of graphene grown on silicon carbide. We show that AB or AA stacked bilayer stripes result…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Tomas Lofwander , Pablo San-Jose , Elsa Prada

We show how the trigonal warping effect in doped graphene can be used to produce fully valley polarized currents. We propose a device that acts both as a beam splitter and a collimator of these electronic currents. The result is…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 J. L. Garcia-Pomar , A. Cortijo , M. Nieto-Vesperinas

The valley Hall effect arises from valley contrasting Berry curvature and requires inversion symmetry breaking. Here, we propose a nonlinear mechanism to generate a valley Hall current in systems with both inversion and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Kamal Das , Koushik Ghorai , Dimitrie Culcer , Amit Agarwal
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