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While the disorder-induced quantum Hall (QH) effect has been studied previously, the effect ofdisorder potential on microscopic features of the integer QH effect remains unclear, particularly forthe incompressible (IC) strip. In this…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Yihao Wang , Katsushi Hashimoto , Toru Tomimatsu , Yoshiro Hirayama

We predict the coexistence of tunneling spin and valley Hall effects when electrons in graphene coherently transmit through a barrier with the broken inversion symmetry and proximity-induced spin-orbit coupling. Due to the rotation of the…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 W. Zeng

We study theoretically a quantum dot in the quantum Hall regime that is strongly coupled to a single lead via a point contact. We find that even when the transmission through the point contact is perfect, important features of the Coulomb…

Condensed Matter · Physics 2009-10-28 Hangmo Yi , C. L. Kane

We study proximity-induced spin-orbit coupling (SOC) in bilayer graphene/few-layer WSe2 heterostructure devices. Contact mode atomic force microscopy (AFM) cleaning yields ultra-clean interfaces and high-mobility devices. In a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Dongying Wang , Shi Che , Guixin Cao , Rui Lyu , Kenji Watanabe , Takashi Taniguchi , Chun Ning Lau , Marc Bockrath

Hole-conjugate states of the fractional quantum Hall effect host counter-propagating edge channels which are thought to exchange charge and energy. These exchanges have been the subject of extensive theoretical and experimental works; in…

We investigated the magnetic field dependence of the Hall and the bend resistances in the ballistic regime for a single layer graphene Hall bar structure containing a pn-junction. When both regions are n-type the Hall resistance dominates…

Mesoscale and Nanoscale Physics · Physics 2013-12-05 S. P. Milovanovic , M. Ramezani Masir , F. M. Peeters

Equilibration of quantum Hall edges is studied in a high quality dual gated bilayer graphene device in both unipolar and bipolar regime when all the degeneracies of the zero energy Landau level are completely lifted. We find that in the…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Chandan Kumar , Saurabh Kumar Srivastav , Anindya Das

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

The cross-over from quasi-two- to quasi-one-dimensional electron transport subject to transverse electric fields and perpendicular magnetic fields are studied in the diffusive to quasiballistic and zero-field to quantum Hall regime.…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Olivio Chiatti , Johannes Boy , Christian Heyn , Wolfgang Hansen , Saskia F. Fischer

We study the many-body instabilities of correlated electrons on the half-filled honeycomb lattice with enhanced exchange coupling. The system is described by an extended Hubbard model including the next-nearest-neighbor Coulomb repulsion…

Strongly Correlated Electrons · Physics 2023-03-21 Ye-Un An , Song-Jin O , Kwang-Il Ryom , Il-Gwang Son

We have investigated the Hall resistance $R_H$ near the plateau-insulator transition of a two-dimensional electron gas in the quantum critical regime. High-field magnetotransport data taken on a low-mobility InGaAs/InP heterostructure with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. T. N. de Lang , L. A. Ponomarenko , A. de Visser , A. M. M. Pruisken

Quantum transport properties in quantum Hall wires in the presence of spatially correlated random potential are investigated numerically. It is found that the potential correlation reduces the localization length associated with the edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tohru Kawarabayashi , Yoshiyuki Ono , Tomi Ohtsuki , Stefan Kettemann , Alexander Struck , Bernhard Kramer

We consider the electronic analog of the Hong-Ou-Mandel interferometer from quantum optics. In this realistic condensed matter device, single electrons are injected and travel along opposite chiral edge states of the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 J. Rech , C. Wahl , T. Jonckheere , T. Martin

We report a simple route to generate magnetotransport data that results in fractional quantum Hall plateaus in the conductance. Ingredients to the generating model are conducting tiles with integer quantum Hall effect and metallic linkers,…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 Ferdinand Kisslinger , Dennis Rienmüller , Christian Ott , Erik Kampert , Heiko B. Weber

We experimentally study the phase diagram of the integer quantized Hall effect, as a function of density and magnetic field. We used a two dimensional hole system confined in a Ge/SiGe quantum well, where all energy levels are resolved,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Hilke , D. Shahar , S. H. Song , D. C. Tsui , Y. H. Xie

We report results of numerical studies of the integer quantum Hall effect in a tight binding model on a two-dimensional square lattice with non-interacting electrons, in the presence of a random potential as well as a uniform magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kun Yang , R. N. Bhatt

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

The dynamical Hall response in a correlated electronic system is analysed within the linear response theory for tight binding models. At $T=0$ the d.c. Hall constant for a single quasiparticle is expressed explicitly via the charge…

Condensed Matter · Physics 2009-10-28 Peter Prelovsek

The frictional drag between parallel two-dimensional electron systems has been measured in a regime of strong interlayer correlations. When the bilayer system enters the excitonic quantized Hall state at total Landau level filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Kellogg , I. B. Spielman , J. P. Eisenstein , L. N. Pfeiffer , K. W. West
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