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Semiconductor billiards are often considered as ideal systems for studying dynamical chaos in the quantum mechanical limit. In the traditional picture, once the electron's mean free path, as determined by the mobility, becomes larger than…

Mesoscale and Nanoscale Physics · Physics 2012-07-13 A. P. Micolich , A. M. See , B. C. Scannell , C. A. Marlow , T. P. Martin , I. Pilgrim , A. R. Hamilton , H. Linke , R. P. Taylor

Magnetoconductance fluctuations are used to study the effect of an applied bias on an electron billiard. At lower bias, nonlinear effects can be well described by electron heating alone, while at higher bias (V > 2mV, ~5% of the electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 C. A. Marlow , R. P. Taylor , M. Fairbanks , H. Linke

We study the quantum-interference effect in the ballistic Aharonov-Bohm (AB) billiard. The wave-number averaged conductance and the correlation function of the non-averaged conductance are calculated by use of semiclassical theory. Chaotic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shiro Kawabata

We study matrix element fluctuations of the two-body screened Coulomb interaction and of the one-body surface charge potential in ballistic quantum dots, comparing behavior in actual chaotic billiards with analytic results previously…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 L. Kaplan , Y. Alhassid

A quantum wire is spatially displaced by suitable electric fields with respect to the scatterers inside a semiconductor crystal. As a function of the wire position, the low-temperature resistance shows reproducible fluctuations. Their…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Heinzel , G. Salis , R. Held , S. Luescher , K. Ensslin , W. Wegscheider , M. Bichler

Recent investigations of fractal conductance fluctuations (FCF) in electron billiards reveal crucial discrepancies between experimental behavior and the semiclassical Landauer-Buttiker (SLB) theory that predicted their existence. In…

In this paper, we show that two-dimensional billiards with point interactions inside exhibit a chaotic nature in the microscopic world, although their classical counterpart is non-chaotic. After deriving the transition matrix of the system…

Quantum Physics · Physics 2007-05-23 Takaomi Shigehara , Hiroshi Mizoguchi , Taketoshi Mishima , Taksu Cheon

The influence of the interference of electron waves, which were scattered by single impurities, on nonlinear quantum conductance of metallic microconstrictions (as was recently investigated experimentally) is studied theoretically. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Namiranian , Yu. A. Kolesnichenko , A. N. Omelyanchouk

The spectra of a microwave cylindrical resonator with the embedded thin metal rod playing the role of a singular perturbation are studied both theoretically and experimentally. The intra- and inter-mode scattering caused by the perturbation…

Disordered Systems and Neural Networks · Physics 2013-07-18 E. M. Ganapolskii , Yu. V. Tarasov

We study quantum interference of electronic waves that are scattered by multiple non-magnetic impurities in a d_x2-y2-wave superconductor. We show that the number of resonance states in the density-of-states (DOS), as well as their…

Superconductivity · Physics 2009-11-07 Dirk K. Morr , Nikolaos A. Stavropoulos

We design a computational experiment in which a quantum particle tunnels into a billiard of variable shape and scatters out of it through a double-slit opening on the billiard's base. The interference patterns produced by the scattered…

Chaotic Dynamics · Physics 2015-05-19 Zoran Levnajić , Tomaž Prosen

Conductance fluctuations have been studied in a soft wall stadium and a Sinai billiard defined by electrostatic gates on a high mobility semiconductor heterojunction. These reproducible magnetoconductance fluctuations are found to be…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. S. Sachrajda , R. Ketzmerick , C. Gould , Y. Feng , P. J. Kelly , A. Delage , Z. Wasilewski

Employing oval shaped quantum billiards connected by quantum wires as the building blocks of a linear quantum dot array, we calculate the ballistic magnetoconductance in the linear response regime. Optimizing the geometry of the billiards,…

Mesoscale and Nanoscale Physics · Physics 2010-12-21 Christian Morfonios , Daniel Buchholz , Peter Schmelcher

The effects of electromagnetic vacuum fluctuations with the boundary on charged particles is investigated. They may be observed via an electron interference experiment near the conducting plate, where boundary effects of vacuum fluctuations…

High Energy Physics - Theory · Physics 2008-11-26 Tai-Hung Wu , Jen-Tsung Hsiang , Da-Shin Lee

The influence of electromagnetic vacuum fluctuations in the presence of the perfectly conducting plate on electrons is studied with an interference experiment. The evolution of the reduced density matrix of the electron is derived by the…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Tsung Hsiang , Da-Shin Lee

Scattering by magnetic impurities is known to destroy coherence of electron motion in metals and semiconductors. We investigate the decoherence introduced in a single act of electron scattering by a magnetic impurity in a quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 V. Kagalovsky , A. L. Chudnovskiy

We report quantum interference effects in InAs semiconductor nanowires strongly coupled to superconducting electrodes. In the normal state, universal conductance fluctuations are investigated as a function of magnetic field, temperature,…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Yong-Joo Doh , Aarnoud L. Roest , Erik P. A. M. Bakkers , Silvano De Franceschi , Leo P. Kouwenhoven

We demonstrate the existence of an interference contribution to the average magnetoconductance, G(B), of ballistic cavities and use it to test the semiclassical theory of quantum billiards. G(B) is qualitatively different for chaotic and…

Condensed Matter · Physics 2009-01-23 H. U. Baranger , R. A. Jalabert , A. D. Stone

We investigate interference effects of the backscattering current through a double-barrier structure in an interacting quantum wire attached to noninteracting leads. Depending on the interaction strength and the location of the barriers,…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Shaoqing Wang , Liling Zhou , Zhao Yang Zeng

We report on the experimental investigation of the properties of the eigenvalues and wavefunctions and the fluctuation properties of the scattering matrix of closed and open billiards, respectively, of which the classical dynamics undergoes…

Quantum Physics · Physics 2019-10-07 Runzu Zhang , Weihua Zhang , Barbara Dietz , Chai Guozhi , Liang Huang
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