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The Aharonov-Bohm effect is a genuine quantum effect typically characterized by a measurable phase shift in the wave function for a charged particle that encircles an electromagnetic field located in a region inaccessible to the mentioned…

Quantum Physics · Physics 2024-02-14 Jose A. R. Cembranos , David García-López , Zoe G. del Toro

We study electron transport through multiply-connected mesoscopic geometries containing interacting quantum dots. Our formulation covers both equilibrium and non-equilibrium physics. We discuss the relation of coherent transport channels…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jürgen König , Yuval Gefen

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Yuval Gefen

We explore the quantum transmission through open oval shaped quantum dots. The transmission spectra show periodic resonances and, depending on the geometry parameter, a strong suppression of the transmission for low energies. Applying a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. Buchholz , P. Drouvelis , P. Schmelcher

Transport measurements are presented on a quantum ring that is tunnel-coupled to a quantum dot. When the dot is in the Coulomb blockade regime, but strongly coupled to the open ring, Fano line shapes are observed in the current through the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Fuhrer , P. Brusheim , T. Ihn , M. Sigrist , K. Ensslin , W. Wegscheider , M. Bichler

We study the transport properties of an Aharonov-Bohm ring containing two quantum dots. One of the dots has well-separated resonant levels, while the other is chaotic and is treated by random matrix theory. We find that the conductance…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kazutaka Takahashi , Tomosuke Aono

We analyze the singlet-triplet splitting on a planar array of quantum dots coupled capacitively to a set of external voltage gates. The system is modelled using an extended Hubbard Hamiltonian keeping two excess electrons on the array. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Weichselbaum , S. E. Ulloa

Here, we report on our results where self-consistent calculations are performed to investigate the interference conditions, numerically. We employ the successful 4$^{th}$ order grid technique to obtain the actual electrostatic quantities of…

Mesoscale and Nanoscale Physics · Physics 2010-03-16 E. Cicek , A. Siddiki

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the…

Dynamical Systems · Mathematics 2007-05-23 Luis Fernando Mello , Yuri Cândido Ribeiro

Linear response conductance of a two terminal Aharonov-Bohm (AB) interferometer is an even function of magnetic field. This "phase symmetry" is no expected to hold beyond the linear response regime. In simple AB rings the phase of the…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 Vadim Puller , Yigal Meir , Martin Sigrist , Klaus Ensslin , Thomas Ihn

We study electronic transport through an Aharonov-Bohm interferometer with single-level quantum dots embedded in the two arms. The full counting statistics in the shot-noise regime is calculated to first order in the tunnel-coupling…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 Daniel Urban , Jürgen König

We present an analysis of the Aharonov-Bohm oscillations for a mesoscopic ring with a quantum dot inserted in one of its arms. It is shown that microreversibility demands that the phase of the Aharonov-Bohm oscillations changes {\it…

Condensed Matter · Physics 2009-10-28 A. Levy Yeyati , M. Buttiker

We propose a device, consisting of a Hall bar with two weak barriers, that can be used to study quantum interference effects in a strongly correlated system. We show how the device provides a way of measuring the fractional charge and…

Condensed Matter · Physics 2007-05-23 C. de C. Chamon , D. E. Freed , S. A. Kivelson , S. L. Sondhi , X. G. Wen

We consider a lateral double-dot system in the Coulomb blockade regime with a single spin-1/2 on each dot, mutually coupled by an anti-ferromagnetic exchange interaction. Each of the two dots is contacted by two leads. We demonstrate that…

Strongly Correlated Electrons · Physics 2007-08-06 V. Koerting , P. Wölfle , J. Paaske

Aharonov-Bohm interferences in the quantum Hall regime are observed when electrons are transmitted between two edge channels. Such a phenomenon has been realized in 2D systems such as quantum point contacts, anti-dots and p-n junctions.…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Viet Hung Nguyen , Jean-Christophe Charlier

The Kondo effect is investigated in a many-electron quantum ring as a function of magnetic field. For fields applied perpendicular to the plane of the ring a modulation of the Kondo effect with the Aharonov-Bohm period is observed. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

Electronic states and the Aharonov-Bohm effect in ZnO quantum dot-ring nanostructures containing few interacting electrons reveal several unique features. We have shown here that in contrast to the dot-rings made of conventional…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Tapash Chakraborty , Aram Manaselyan , Manuk Barseghyan

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

We demonstrate that the experimentally observed conductance oscillations through a gate-controlled quantum dot under quantized Hall conditions originate from a true Aharonov-Bohm phase that is acquired by the electrons as they co-propagate…

Mesoscale and Nanoscale Physics · Physics 2010-11-10 Afif Siddiki , Kaan Guven

We report on the realization of a few-electron double quantum dot defined in a two-dimensional electron gas by means of surface gates on top of a GaAs/AlGaAs heterostructure. Two quantum point contacts (QPCs) are placed in the vicinity of…