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We discuss transport through interferometer formed by helical edge states tunnel-coupled to metallic leads. We focus on the experimentally relevant case of relatively high temperature as compared to the level spacing and discuss a response…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods…

Mesoscale and Nanoscale Physics · Physics 2014-08-19 Santanu K. Maiti , Moumita Dey , S. N. Karmakar

We study the quantum transport through two specific atomtronic circuits: a Y-junction and a ring-shaped condensate pierced by an effective magnetic flux. We demonstrate that for bosons, the two circuits display Andreev-like reflections. For…

Quantum Gases · Physics 2022-02-28 Tobias Haug , Rainer Dumke , Leong-Chuan Kwek , Luigi Amico

In the present study, we investigate the full counting statistics in a two-terminal Aharonov-Bohm interferometer embedded with an interacting quantum dot. We introduce a novel saddle-point solution for a cumulant-generating function, which…

Mesoscale and Nanoscale Physics · Physics 2010-03-31 Yasuhiro Utsumi , Keiji Saito

We study theoretically the optical properties of an exciton in a two-dimensional ring threaded by a magnetic flux. We model the quantum ring by a confining potential that can be continuously tuned from strictly one-dimensional to truly…

Mesoscale and Nanoscale Physics · Physics 2011-12-05 C. González-Santander , F. Domínguez-Adame , R. A. Römer

The Aharonov-Bohm effect is measured in a four-terminal open ring geometry based on a Ga[Al]As heterostructure. Two quantum dots are embedded in the structure, one in each of the two interfering paths. The number of electrons in the two…

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

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 probe technique is a simple mean to incorporate elastic and inelastic processes into quantum dynamics. Using numerical simulations, we demonstrate that this tool can be employed beyond the analytically tractable linear response regime,…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Salil Bedkihal , Malay Bandyopadhyay , Dvira Segal

A numerical approach is employed to explain transport characteristics in realistic, quantum Hall based Aharonov-Bohm interferometers. First, the spatial distribution of incompressible strips, and thus the current channels, are obtained…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 V. Kotimaki , E. Cicek , A. Siddiki , E. Rasanen

We investigate ballistic transport and quantum interference in a nanoscale quantum wire loop fab-ricated as a GaAs/AlGaAs field-effect heterostructure. Four-terminal measurements of current and voltage characteristics as a function of top…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 S. S. Buchholz , S. F. Fischer , U. Kunze , D. Reuter , A. D. Wieck

A mesoscopic ring subject to the Rashba spin-orbit interaction and sequentially coupled to an interacting quantum dot, in the presence of Aharonov-Bohm flux, is proposed as a flux tunable tunneling diode. The analysis of the conductance by…

Mesoscale and Nanoscale Physics · Physics 2008-05-22 R. Citro , F. Romeo

Microreversibility constrains the fluctuations of the nonequilibrium currents that cross an open system. This can be seen from the so-called fluctuation relations, which are a direct consequence of microreversibility. Indeed, the latter are…

Statistical Mechanics · Physics 2020-04-22 Maximilien Barbier , Pierre Gaspard

This is an analytical study of magnetic fields effects on the conductance, the shot noise power, and the third charge-transfer cumulant for Aharonov-Bohm rings and Corbino disks in graphene. The two distinct physical mechanisms lead to very…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Adam Rycerz

Aharonov-Bohm Physics at the two-particle level is investigated for distinguishable interacting charged particles through the exact solution of a toy model with confined states. The effect of the inaccessible magnetic flux is distributed…

Mesoscale and Nanoscale Physics · Physics 2016-09-05 Kyriakos Kyriakou , Konstantinos Moulopoulos , Areg Ghazaryan , Anahit Djotyan

We investigate spin-dependent conductance through a quantum Aharonov-Bohm ring containing localized electrons which interact with the propagating flow of electrons via exchange interaction of the ferromagnetic or antiferromagnetic type. We…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 I. G. Savenko , R. G. Polozkov , I. A. Shelykh

We study full counting statistics of coherent electron transport through multi-terminal interacting quantum-dots under a finite magnetic field. Microscopic reversibility leads to the symmetry of the cumulant generating function, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Keiji Saito , Yasuhiro Utsumi

We calculate magnetotransport oscillations in current through a triple-quantum-dot molecule, accounting for higher harmonics (having flux period h/ne, with n an integer). For a reflection-symmetric triple quantum dot, we find that harmonics…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 B. D'Anjou , W. A. Coish

We propose a simple model of two coupled mesoscopic rings threaded by magnetic flux which mimics a device for electron transmission in a controlled fashion. Within a tight binding formalism we work out exactly the conditions when a…

Other Condensed Matter · Physics 2009-12-22 Supriya Jana , Arunava Chakrabarti

The authors report on modeling of transport spectroscopy in split-gate controlled quantum constrictions. A mixed momentum-coordinate representation is employed to solve a set of time-dependent Lippmann-Schwinger equations with intricate…

Mesoscale and Nanoscale Physics · Physics 2013-06-07 Kristinn Torfason , Chi-Shung Tang , Vidar Gudmundsson

We study the conductance through finite Aharonov-Bohm rings of interacting electrons weakly coupled to non-interacting leads at two arbitrary sites. This model can describe an array of quantum dots with a large charging energy compared to…

Strongly Correlated Electrons · Physics 2009-10-15 Julián Rincón , A. A. Aligia , K. Hallberg