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Quantum spin Hall effect was first predicted in graphene. However, the weak spin orbit interaction in graphene meant that the search for quantum spin Hall effect in graphene never fructified. In this work we show how to generate the quantum…

Mesoscale and Nanoscale Physics · Physics 2016-12-09 SK Firoz Islam , Colin Benjamin

Critical properties of quantum Hall systems are affected by the presence of extra edge channels - present, in particular, at higher plateau transitions. We study this phenomenon for the case of the spin quantum Hall transition. Using…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Roberto Bondesan , Ilya A. Gruzberg , Jesper Lykke Jacobsen , Hideaki Obuse , Hubert Saleur

Quantum Hall edge states offer avenues for quasiparticle interferometry, provided that the ratio between phase coherence length and quantum Hall interferometer (QHI) size is large enough. Maximizing this ratio by shrinking the QHI area…

Mesoscale and Nanoscale Physics · Physics 2021-10-18 N. Moreau , B. Brun , S. Somanchi , K. Watanabe , T. Taniguchi , C. Stampfer , B. Hackens

We consider spin-dependent scatterers with large scattering cross-sections in graphene -a Zeeman-like and an intrinsic spin-orbit coupling impurity- and show that a gated ring around them can be engineered to produce an effcient control of…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Diego Oliver , Tatiana G. Rappoport

Single-layer graphene sheets are typically characterized by long-wavelength corrugations (ripples) which can be shown to be at the origin of rather strong potentials with both scalar and vector components. We present an extensive…

Mesoscale and Nanoscale Physics · Physics 2010-04-06 Marco Gibertini , Andrea Tomadin , Marco Polini , A. Fasolino , M. I. Katsnelson

Designing high-finesse resonant cavities for electronic waves faces challenges due to short electron coherence lengths in solids. Previous approaches, e.g. the seminal nanometer-sized quantum corrals, depend on careful positioning of…

We report on measurements of quantized conductance in gate-defined quantum point contacts in bilayer graphene that allow the observation of subband splittings due to spin-orbit coupling. The size of this splitting can be tuned from 40 to 80…

Mesoscale and Nanoscale Physics · Physics 2020-05-05 L. Banszerus , B. Frohn , T. Fabian , S. Somanchi , A. Epping , M. Müller , D. Neumaier , K. Watanabe , T. Taniguchi , F. Libisch , B. Beschoten , F. Hassler , C. Stampfer

In this paper we report on the observation of very high and narrow magnetoconductance peaks which we attribute to the transition to quantum Hall ferromagnet (QHFM) state occurring at the edges of the sample. We show that the expected…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 E. Bobko , D. Płoch , D. Śnieżek , M. Majewicz , M. Fołtyn , T. Wojciechowski , S. Chusnutdinow , T. Wojtowicz , J. Wróbel

The metallic tip of a scanning force microscope operated at 300 mK is used to locally induce a potential in a fully controllable double quantum dot defined via local anodic oxidation in a GaAs/AlGaAs heterostructure. Using scanning gate…

Mesoscale and Nanoscale Physics · Physics 2011-06-20 Magdalena Huefner , Bruno Kueng , Stephan Schnez , Klaus Ensslin , Thomas Ihn , Matthias Reinwald , Werner Wegscheider

Band-inverted electron-hole bilayers support quantum spin Hall insulator and exciton condensate phases. We investigate such a bilayer in an external magnetic field. We show that the interlayer correlations lead to formation of a helical…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 D. I. Pikulin , P. G. Silvestrov , T. Hyart

Gate-voltage control of inter-edge tunneling at a split-gate constriction in the fractional quantum Hall regime is reported. Quantitative agreement with the behavior predicted for out-of-equilibrium quasiparticle transport between chiral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram , Giorgio Biasiol , Lucia Sorba

We propose an analytical formulation for the Scanning Gate Microscopy (SGM) response to local tips with arbitrary strength in two terminal nano-structures. The real space resolved conductance is expressed in terms of the unperturbed…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Ousmane Ly

Motivated by recent experimental findings, we study transport in a simple phenomenological model of a quantum Hall edge system with a gate-voltage controlled constriction lowering the local filling factor. The current backscattered from the…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Siddhartha Lal

The one-dimensional side gate based on graphene edges shows a significant capability of reducing the channel length of field-effect transistors, further increasing the integration density of semiconductor devices. The nano-scale electric…

We theoretically investigate gate-defined graphene superlattices with broken inversion symmetry as a platform for realizing tunable valley dependent transport. Our analysis is motivated by recent experiments [C. Forsythe et al., Nat.…

Mesoscale and Nanoscale Physics · Physics 2019-10-21 Johannes H. J. Martiny , Kristen Kaasbjerg , Antti-Pekka Jauho

We suggest that physics underlying the recently observed removal of sublattice and spin degeneracies in graphene in a strong magnetic field describes a phase transition connected with the generation of an excitonic gap. The experimental…

Strongly Correlated Electrons · Physics 2008-11-26 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

Graphene properties can be manipulated by a periodic potential. Based on the tight-binding model, we study graphene under a one-dimensional (1D) modulated magnetic field which contains both a uniform and a staggered component. New chiral…

Strongly Correlated Electrons · Physics 2011-01-18 Lei Xu , Jin An , Chang-De Gong

We have utilized the finite-difference approach to explore electron-tunneling properties in gapped graphene through various electrostatic-potential barriers changing from Gaussian to a triangular envelope function in comparison with a…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

The small spin-orbit interaction of carbon atoms in graphene promises a long spin diffusion length and potential to create a spin field-effect transistor. However, for this reason, graphene was largely overlooked as a possible spin-charge…

Materials Science · Physics 2016-05-04 S. Dushenko , H. Ago , K. Kawahara , T. Tsuda , S. Kuwabata , T. Takenobu , T. Shinjo , Y. Ando , M. Shiraishi

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

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