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Charge carriers in the quantum Hall regime propagate via one-dimensional conducting channels that form along the edges of a two-dimensional electron gas. Controlling their transmission through a gate-tunable constriction, also called…

We have calculated the admittance of a two-dimensional quantum point contact (QPC) using a novel variant of the Wigner distribution function (WDF) formalism. In the semiclassical approximation, a Boltzman-like equation is derived for the…

Condensed Matter · Physics 2016-08-31 Igor E. Aronov , Gennady P. Berman , David K. Campbell , Sergey V. Dudiy

We study quantum Hall interferometers in which the interference loop encircles a quantum anti-dot. We base our study on thermodynamic considerations, which we believe reflect the essential aspects of interference transport phenomena. We…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Sarah Levy Schreier , Ady Stern , Bernd Rosenow , Bertrand. I. Halperin

We model the 2-probe conductance of a quantum point contact (QPC), in linear response. If the QPC is highly non-adiabatic or near to scatterers in the open reservoir regions, then the usual distinction between leads and reservoirs breaks…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. Barnett , M. Blaauboer , A. Mody , E. J. Heller

We report an investigation of quantum Hall induced currents by simultaneous measurements of their magnetic moment and their effect on the conductance of a quantum point contact (QPC). Features in the magnetic moment and QPC resistance are…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. J. Smith , C. D. H. Williams , A. Usher , A. S. Sachrajda , A. Kam , Z. R. Wasilewski

A systematic theory of the conductance measurements of non-invasive (weak probe) scanning gate microscopy is presented that provides an interpretation of what precisely is being measured. A scattering approach is used to derive explicit…

Mesoscale and Nanoscale Physics · Physics 2013-07-12 C. Gorini , R. A. Jalabert , W. Szewc , S. Tomsovic , D. Weinmann

On the basis of the Chalker-Coddington network model, a numerical and analytical study is made of the statistics of point-contact conductances for systems in the integer quantum Hall regime. In the Hall plateau region the point-contact…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Martin Janssen , Marcus Metzler , Martin R. Zirnbauer

We calculate the admittance of a two-dimensional quantum point contact (QPC) using a Boltzman-like kinetic equation derived for a partial Wigner distribution function in an effective potential. We show that this approach leads to the known…

Condensed Matter · Physics 2008-02-03 I. E. Aronov , G. P. Berman , D. K. Campbell , S. V. Dudiy

Compressibility measurements, sensitive to charge rearrangements, are performed on a quantum point contact (QPC). Screening due to mobile charges in the QPC is quantitatively measured, using a second point contact to detect the screened…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 Silvia Lüscher , Lindsay S. Moore , Tomaz Rejec , Yigal Meir , Hadas Shtrikman , David Goldhaber-Gordon

We consider scanning gate conductance microscopy of an open quantum dot that is connected to the conducting channel using the wave function description of the quantum transport and a finite difference approach. We discuss the information…

Mesoscale and Nanoscale Physics · Physics 2014-05-26 K. Kolasiński , B. Szafran

In the integer quantum Hall (IQH) regime, an antidot provides a finite, controllable `edge' of quantum Hall fluid that is an ideal laboratory for investigating the collective dynamics of large numbers of interacting electrons. Transport…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Lee C. Bassett

We measure the magneto-conductance through a micron-sized quantum dot hosting about 500 electrons in the quantum Hall regime. In the Coulomb blockade, when the island is weakly coupled to source and drain contacts, edge reconstruction at…

We show experimentally how quantum interference can be produced using an integrated quantum system comprising an arch-shaped short quantum wire (or quantum point contact, QPC) of 1D electrons and a reflector forming an electronic cavity. On…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Chengyu Yan , Sanjeev Kumar , Michael Pepper , Patrick See , Ian Farrer , David Ritchie , Jonathan Griffiths , Geraint Jones

We study the conductance $g$ of an electron interferometer created in a two dimensional electron gas between a nanostructured contact and the depletion region induced by the charged tip of a scanning gate microscope. Using non-interacting…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Andrii Kleshchonok , Geneviève Fleury , Jean-Louis Pichard , Gabriel Lemarié

The quantum coherence of electronic quasiparticles underpins many of the emerging transport properties of conductors at small scales. Novel electronic implementations of quantum optics devices are now available with perspectives such as…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 H. Duprez , E. Sivre , A. Anthore , A. Aassime , A. Cavanna , A. Ouerghi , U. Gennser , F. Pierre

A quantum Hall interferometer containing a grounded superconducting terminal is proposed. This geometry allows to control the Andreev and normal scattering amplitudes of sub-gap Bogoliubov quasiparticles with the Aharonov-Bohm phase, as…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Vadim Khrapai

We measure the resistance oscillation of quantum point contact (QPC) under microwave (MW) radiation. What is different from the common resistance oscillation induced by edge magnetoplasmon (EMP) is that at lower magnetic field…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Xinghao Wang , Wenfeng Zhang , Rui-Rui Du , L. N. Pfeiffer , K. W. Baldwin , K. W. West

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

Mesoscale and Nanoscale Physics · Physics 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We demonstrate a quantum Hall edge-channel interferometer in a high-quality graphene pn junction under a high magnetic field. The co-propagating p and n quantum Hall edge channels traveling along the pn interface functions as a built-in…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Sei Morikawa , Satoru Masubuchi , Rai Moriya , Kenji Watanabe , Takashi Taniguchi , Tomoki Machida

Images of electron flow through a two-dimensional electron gas from a quantum point contact (QPC) can be obtained at liquid He temperatures using scanning probe microscopy (SPM). A negatively charged SPM tip depletes the electron gas…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. J. LeRoy , A. C. Bleszynski , M. A. Topinka , R. M. Westervelt , S. E. J. Shaw , E. J. Heller , K. D. Maranowski , A. C. Gossard