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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

We show that quasi-bound electron states are formed in a quantum wire as a result of electron backscattering in the transition regions between the wire and the electron reservoirs, to which the wire is coupled. The backscattering mechanism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B S Shchamkhalova , V A Sablikov

We explore theoretically how the coupling to cavity vacuum fields affects the electron transport in quantum conductors due to the counter-rotating-wave terms of light-matter interaction. We determine the quantum conductance in terms of the…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Geva Arwas , Cristiano Ciuti

We numerically investigate classical and quantum transport through a soft-wall cavity with mixed dynamics. Remarkable differences to hard-wall quantum dots are found which are, in part, related to the influence of the hierarchical structure…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Bernhard Weingartner , Stefan Rotter , Joachim Burgdoerfer

Through a non-perturbative quantum theory, we investigate how the quasi-electron excitations of a two-dimensional electron gas are modified by strong coupling to the vacuum field of a microcavity. We show that the electronic dressed states…

Quantum Physics · Physics 2009-11-13 Simone De Liberato , Cristiano Ciuti

We image equilibrium and non-equilibrium transport through a two-dimensional electronic cavity using scanning gate microscopy (SGM). Injecting electrons into the cavity through a quantum point contact close to equilibrium, we raster-scan a…

This paper reviews recent studies of mesoscopic fluctuations in transport through ballistic quantum dots, emphasizing differences between conduction through open dots and tunneling through nearly isolated dots. Both the open dots and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 C. M. Marcus , S. R. Patel , A. G. Huibers , S. M. Cronenwett , M. Switkes , I. H. Chan , R. M. Clarke , J. A. Folk , S. F. Godijn , K. Campman , A. C. Gossard

We demonstrate that conductance anomalies can arise in a clean, adiabatic quantum point contact when a channel is partially transmitting. Even for a smooth barrier potential, backscattering induces Friedel oscillations that, via electron…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Donghao Liu , Dmitri Gutman

We consider effects of the interaction between electrons drifting along the opposite sides of a narrow sample under the conditions of the quantum Hall effect. A spatial variation of this interaction leads to backward scattering of…

Condensed Matter · Physics 2016-08-31 Yuval Oreg , Alexander M. Finkel'stein

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

Electron flow through a quantum point contact in presence of spin-orbit coupling is investigated theoretically in the context of the scanning gate microscopy (SGM) conductance mapping. Although in the absence of the floating gate the…

Mesoscale and Nanoscale Physics · Physics 2014-07-09 M. P. Nowak , K. Kolasiński , B. Szafran

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

We present conductance measurements of a ballistic circular stadium influenced by a scanning gate. When the tip depletes the electron gas below, we observe very pronounced and regular fringes covering the entire stadium. The fringes…

Mesoscale and Nanoscale Physics · Physics 2016-10-31 A. A. Kozikov , R. Steinacher , C. Rössler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We show an electron interferometer between a quantum point contact (QPC) and a scanning gate microscope (SGM) tip in a two-dimensional electron gas. The QPC and SGM tip act as reflective barriers of a lossy cavity; the conductance through…

Mesoscale and Nanoscale Physics · Physics 2010-09-21 M. P. Jura , M. A. Topinka , M. Grobis , L. N. Pfeiffer , K. W. West , D. Goldhaber-Gordon

We study theoretically interaction between electrons in a quantum ring embedded in a microcavity and vacuum fluctuations of electromagnetic field in the cavity. It is shown that the vacuum fluctuations can split electron states of the ring…

Mesoscale and Nanoscale Physics · Physics 2013-07-02 O. V. Kibis , O. Kyriienko , I. A. Shelykh

The quantum dynamics of the coupling between a cavity optical field and a resonator microwave field via the electro-optic effect is studied. This coupling has the same form as the opto-mechanical coupling via radiation pressure, so all…

Quantum Physics · Physics 2010-07-02 Mankei Tsang

We consider a quantum spin Hall system in a two-terminal setup, with an extended tunneling contact connecting upper and lower edges. We analyze the effects of this geometry on the backscattering current as a function of voltage,…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 G. Dolcetto , S. Barbarino , D. Ferraro , N. Magnoli , M. Sassetti

We demonstrate a scanning gate grid measurement technique consisting in measuring the conductance of a quantum point contact (QPC) as a function of gate voltage at each tip position. Unlike conventional scanning gate experiments, it allows…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 A. A. Kozikov , R. Steinacher , C. Rössler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

In a two-dimensional quantum dot in a GaAs heterostructure, the spin-orbit scattering rate is substantially reduced below the rate in a bulk two-dimensional electron gas [B.I. Halperin et al, Phys. Rev. Lett. 86, 2106 (2001)]. Such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. W. Brouwer , J. N. H. J. Cremers , B. I. Halperin

We study a single-mode cavity weakly coupled to a voltage-biased quantum point contact. In a perturbative analysis, the lowest order predicts a thermal state for the cavity photons, driven by the emission noise of the conductor. The cavity…

Mesoscale and Nanoscale Physics · Physics 2016-07-05 Udson C. Mendes , Christophe Mora