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Electron-electron interactions play a critical role in many condensed matter phenomena, and it is tempting to find a way to control them by changing the interactions' strength. One possible approach is to place a studied system in proximity…

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

We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin

We demonstrate the emergence of classical features in electronic quantum transport for the scanning gate microscopy response in a cavity defined by a quantum point contact and a micron-sized circular reflector. The branches in electronic…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Keith R. Fratus , Camille Le Calonnec , Rodolfo A. Jalabert , Guillaume Weick , Dietmar Weinmann

Some modified two-slit interference experiments were carried out showing an apparent paradox in wave-particle duality. In a typical such experiment, the screen, where the interference pattern is supposed to be formed, is replaced by a…

Quantum Physics · Physics 2023-04-05 Tabish Qureshi

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

We report on a study of complementarity in a two-terminal "closed-loop" Aharonov-Bohm interferometer. In this interferometer, the simple picture of two-path interference cannot be applied. We introduce a nearby quantum point contact to…

Quantum Physics · Physics 2009-11-13 Gyong Luck Khym , Kicheon Kang

This article reports on tunable electron backscattering investigated with the biased tip of a scanning force microscope. Using a channel defined by a pair of Schottky gates, the branched electron flow of ballistic electrons injected from a…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 R. Steinacher , A. A. Kozikov , C. Rössler , C. Reichl , W. Wegscheider , K. Ensslin , T. Ihn

Young's classic double-slit experiment demonstrates the reality of interference when waves and particles travel simultaneously along two different spatial paths. Here, we propose a double-slit experiment in momentum space, realized in the…

Quantum Physics · Physics 2018-01-18 I. P. Ivanov , D. Seipt , A. Surzhykov , S. Fritzsche

The interference of single photons going through a double slit is a compelling demonstration of the wave and particle nature of light in the same experiment. Single photons produced by spontaneous parametric down-conversion can be used for…

Wave-particle duality is an inherent peculiarity of the quantum world. The double-slit experiment has been frequently used for understanding different aspects of this fundamental concept. The occurrence of interference rests on the lack of…

We propose an analytical formulation for the Scanning Gate Microscopy (SGM) response to local tips with arbitrary strength in two terminal nano-structures. The real space resolved conductance is expressed in terms of the unperturbed…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Ousmane Ly

Semiconductor nanostructures based on two dimensional electron gases (2DEGs) have the potential to provide new approaches to sensing, information processing, and quantum computation. Much is known about electron transport in 2DEG…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. A. Topinka , B. J. LeRoy , R. M. Westervelt , S. E. J. Shaw , R. Fleischmann , E. J. Heller , K. D. Maranowski , A. C. Gossard

We study the conductance of an electron interferometer formed in a two dimensional electron gas between a nanostructured quantum contact and the charged tip of a scanning gate microscope. Measuring the conductance as a function of the tip…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Andrii Kleshchonok , Geneviève Fleury , Jean-Louis Pichard

In this study, we solve analytically the Schrodinger equation for a macroscopic quantum oscillator as a central system coupled to two environmental micro-oscillating particles. Then, the double-slit interference patterns are investigated in…

Quantum Physics · Physics 2016-07-19 Hamid Reza Naeij , Afshin Shafiee

We introduce a simple experiment involving a double-slit interferometer by which one can learn basic concepts of quantum interference such as which-path marking, quantum erasers, and geometric phases. Each of them exhibits seemingly…

Quantum Physics · Physics 2011-03-18 H. Kobayashi , S. Tamate , T. Nakanishi , K. Sugiyama , M. Kitano

In this article we present an analytic solution of the famous problem of diffraction and interference of electrons through one and two slits (for simplicity, only the one-dimensional case is considered). In addition to exact formulas, we…

Quantum Physics · Physics 2015-10-30 Mathieu Beau

Electronic conduction pathways in dielectric thin films are explored using automated experiments in scanning probe microscopy (SPM). Here, we use large field of view scanning to identify the position of localized conductive spots and…

We study theoretically electron interference in a Mach--Zehnder-like geometry formed by four zigzag graphene nanoribbons (ZGNRs) arranged in parallel pairs, one on top of the other, such that they form intersection angles of 60$^\circ$.…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Sofia Sanz , Nick Papior , Géza Giedke , Daniel Sánchez-Portal , Mads Brandbyge , Thomas Frederiksen

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…