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Constrictions in fractional quantum Hall (FQH) systems not only facilitate backscattering between counter-propagating edge modes, but also may reduce the constriction filling fraction $\nu_c$ with respect to the bulk filling fraction…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernd Rosenow , Bertrand I. Halperin

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

We analyze electrostatic interaction between a sharp conducting tip and a thin one-dimensional wire, e.g., a carbon nanotube, in a scanned gate microscopy (SGM) experiment. The problem is analytically tractable if the wire resides on a thin…

Mesoscale and Nanoscale Physics · Physics 2010-04-02 Lingfeng M. Zhang , Michael M. Fogler

We study the influences of antidot-induced bound states on transport properties of two- dimensional quantum spin Hall insulators. The bound statesare found able to induce quantum percolation in the originally insulating bulk. At some…

Mesoscale and Nanoscale Physics · Physics 2012-02-27 Rui-Lin Chu , Jie Lu , Shun-Qing Shen

The nature of a metal-insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions, as reported in recent experiments of Roddaro et al [1], is examined. We attribute this phenomenon to a splitting of…

Strongly Correlated Electrons · Physics 2009-11-11 Emiliano Papa , Tilo Stroh

This paper develops a scattering theory to examine how point impurities affect transport through quantum wires. While some of our new results apply specifically to hard-walled wires, others--for example, an effective optical theorem for…

Quantum Physics · Physics 2007-05-23 J. Y. Vaishnav , A. Itsara , E. J. Heller

Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gate-voltage controlled constriction. A finite backscattered current at finite edge-bias is explained from a…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 Siddhartha Lal

Scanning gate microscopy is used to locally investigate electron transport in a high-mobility two-dimensional electron gas formed in a GaAs/AlGaAs heterostructure. Using quantum point contacts (QPC) we observe branches caused by electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 A. A. Kozikov , C. Rössler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

This paper presents a brief review of scanning-gate microscopy applied to the imaging of electron transport in buried semiconductor quantum structures. After an introduction to the technique and to some of its practical issues, we summarise…

Systems of coupled cavity modes have the potential to provide bright quantum optical states of light in a highly versatile manner. Microring resonators for instance are highly scalable candidates for photon sources thanks to CMOS…

Quantum Physics · Physics 2021-06-04 Will McCutcheon

By restricting the motion of high-mobility 2D electron gas to a network of channels with smooth confinement, we were able to trace, both classically and quantum-mechanically, the interplay of backscattering, and of the bending action of a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 V. V. Mkhitaryan , V. Kagalovsky , M. E. Raikh

We use Scanning Gate Microscopy to study electron transport through an open, gate-defined resonator in a Ga(Al)As heterostructure. Raster-scanning the voltage-biased metallic tip above the resonator, we observe distinct conductance…

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 perform scanning-gate microscopy on a quantum-point contact. It is defined in a high-mobility two-dimensional electron gas of an AlGaAs/GaAs heterostructure, giving rise to a weak disorder potential. The lever arm of the scanning tip is…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 S. Schnez , C. Rössler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

It is well known that while forward scattering has no effect on the conductance of one-dimensional systems, backscattering off a static impurity suppresses the current. We study the effect of a time-dependent point impurity on the…

Strongly Correlated Electrons · Physics 2009-11-07 D. E. Feldman , Yuval Gefen

This paper presents an overview of scanning-gate microscopy applied to the imaging of electron transport through buried semiconductor nanostructures. After a brief description of the technique and of its possible artifacts, we give a…

Mesoscale and Nanoscale Physics · Physics 2011-04-13 F. Martins , B. Hackens , H. Sellier , P. Liu , M. G. Pala , S. Baltazar , L. Desplanque , X. Wallart , V. Bayot , S. Huant

Electrical control and detection of spin precession are experimentally demonstrated by using spin-resolved edge states in the integer quantum Hall regime. Spin precession is triggered at a corner of a biased metal gate, where electron…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 T. Nakajima , Kuan-Ting Lin , S. Komiyama

Motivated by the recent experiment by Marguerite et al. [1] on imaging in graphene samples, we investigate theoretically the dissipation induced by resonant impurities in the quantum Hall regime. The impurity induced forward scattering of…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Gu Zhang , Igor V. Gornyi , Alexander D. Mirlin

We demonstrate an innovative quantum Hall circuit with variable geometry employing the moveable electrostatic potential induced by a biased atomic force microscope tip. We exploit this additional degree of freedom to identify the…

We study graphene quantum point contacts (QPC) and imaging of the backscattering of the Fermi level wave function by potential introduced by a scanning probe. We consider both etched single-layer QPCs as well as the ones formed by bilayer…

Mesoscale and Nanoscale Physics · Physics 2017-10-27 Alina Mreńca-Kolasińska , Bartłomiej Szafran