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Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

The problem of Bloch electrons in two dimensions subject to magnetic and intense electric fields is investigated, the quantum Hall conductance is calculated beyond the linear response approximation. Magnetic translations, electric evolution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Kunold , M. Torres

While the helical character of the edge channels responsible for charge transport in the quantum spin Hall regime of a two-dimensional topological insulator is by now well established, an experimental confirmation that the transport in the…

Edge nanoscrolls are shown to strongly influence transport properties of suspended graphene in the quantum Hall regime. The relatively long arc length of the scrolls in combination with their compact transverse size results in formation of…

Mesoscale and Nanoscale Physics · Physics 2012-05-11 Alessandro Cresti , Michael M. Fogler , Francisco Guinea , A. H. Castro Neto , Stephan Roche

Electronic Mach-Zehnder interferometers in the Quantum Hall (QH) regime are currently discussed for the realization of quantum information schemes. A recently proposed device architecture employs interference between two co-propagating edge…

Mesoscale and Nanoscale Physics · Physics 2013-12-06 N. Paradiso , S. Heun , S. Roddaro , L. N. Pfeiffer , K. W. West , L. Sorba , G. Biasiol , F. Beltram

We propose a scheme where transport measurements of charge current and its noise can be used to determine the spin Hall conductance in a four-terminal setup. Starting from the scattering formalism we express the spin current and spin Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sigurdur I. Erlingsson , Daniel Loss

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

A recent experiment [Cohen et al., Science 382, 542 (2023)] observed a robustly quantized $e^2/2h$ conductance in a quantum point contact between fractional quantum Hall edges (a quantum Hall transformer), which then vanishes at low…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Stuart Yi-Thomas , Jay D. Sau

We propose a device, consisting of a Hall bar with two weak barriers, that can be used to study quantum interference effects in a strongly correlated system. We show how the device provides a way of measuring the fractional charge and…

Condensed Matter · Physics 2007-05-23 C. de C. Chamon , D. E. Freed , S. A. Kivelson , S. L. Sondhi , X. G. Wen

The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Kunold , M. Torres

We exploit the biased tip of a scanning gate microscope (SGM) to induce a controlled backscattering between counter-propagating edge channels in a wide constriction in the quantum Hall regime. We compare our detailed conductance maps with a…

The electron transport properties of a four-terminal molecular device are computed within the framework of density functional theory and non-equilibrium Keldysh theory. The additional two terminals lead to new properties, including a…

Mesoscale and Nanoscale Physics · Physics 2009-09-01 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier

We report on the transition from magnetic edge to electric edge transport in a split magnetic gate device which applies a notch magnetic field to a two-dimensional electron gas. The gate bias allows tuning the overlap of magnetic and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Alain Nogaret , Puja Mondal , Ankip Kumar , Sankalpa Ghosh , Harvey Beere , David Ritchi

We describe the transport properties of a 5 $\mu$m long one-dimensional (1D) quantum wire. Reduction of conductance plateaux due to the introduction of weakly disorder scattering are observed. In an in-plane magnetic field, we observe…

Strongly Correlated Electrons · Physics 2009-10-31 C. -T. Liang , M. Pepper , M. Y. Simmons , C. G. Smith , D. A. Ritchie

We propose and analyze inter-edge tunneling in a quantum spin Hall corner junction as a means to probe the helical nature of the edge states. We show that electron-electron interactions in the one-dimensional helical edge states result in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chang-Yu Hou , Eun-Ah Kim , Claudio Chamon

We propose that the recently realized T-shaped semiconductor quantum wires (T-wires) could be exploited as three-terminal quantum interference devices. T-wires are formed by intersecting two quantum wells (QWs). By use of a scattering…

Condensed Matter · Physics 2009-10-30 G. Goldoni , F. Rossi , E. Molinari

We have developed a variant transfer matrix method that is suitable for transport through multi-probe systems. Using this method, we have numerically studied the quantum spin Hall effect (QSHE) on 2D graphene with both intrinsic (Vso) and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Z. H. Qiao , J. Wang

We have fabricated high-mobility, two-dimensional electron gases in a GaAs quantum well on cylindrical surfaces, which allows to investigate the magnetotransport behavior under varying magnetic fields along the current path. A strong…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 K. -J. Friedland , R. Hey , H. Kostial , U. Jahn , E. Wiebicke , K. H. Ploog , A. Vorob'ev , Ju. Yukecheva , V. Prinz

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Yanmeng Shi , Joshua Kahn , Ben Niu , Zaiyao Fei , Bosong Sun , Xinghan Cai , Brian A. Francisco , Di Wu , Zhi-Xun Shen , Xiaodong Xu , David H. Cobden , Yong-Tao Cui