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Mesoscopic solid state Aharonov-Bohm interferometers have been used to measure the "intrinsic" phase, $\alpha_{QD}$, of the resonant quantum transmission amplitude through a quantum dot (QD). For a two-terminal "closed" interferometer,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Aharony , O. Entin-Wohlman , B. I. Halperin , Y. Imry

Measurement of the transmission phase through a quantum dot (QD) embedded in an arm of a two-terminal Aharonov-Bohm (AB) interferometer is inhibited by phase symmetry, i.e. the property that the linear response conductance of a two-terminal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vadim Puller , Yigal Meir

The conductance G through a closed Aharonov-Bohm mesoscopic solid-state interferometer (which conserves the electron current), with a quantum dot (QD) on one of the paths, depends only on cos(phi), where Phi= (hbar c phi)/e is the magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Amnon Aharony , Ora Entin-Wohlman , Yoseph Imry

In this paper we address measurements of the resonant quantum transmission amplitude $t_{QD}=-i|t_{QD}|e^{i\alpha_{QD}}$ through a quantum dot (QD), as function of the plunger gate voltage $V$. Mesoscopic solid state Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Amnon Aharony , Ora Entin-Wohlman , Yoseph Imry

Mesoscopic Aharonov-Bohm interferometers have been used in attempts to measure the transmission phase of a quantum dot which is placed on one arm of the interferometer. Here we review theoretical results for the conductance through such…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 A. Aharony , O. Entin-Wohlman , Y. Imry

We address the quantum dot phase measurement problem in an open Aharonov-Bohm interferometer, assuming multiple transport channels. In such a case, the quantum dot is characterized by more than one intrinsic phase for the electrons…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Ţolea , M. Niţă , A. Aldea

We study theoretically the transmission through a quantum dot molecule embedded in the arms of an Aharonov-Bohm four quantum dot ring threaded by a magnetic flux. The tunable molecular coupling provides a transmission pathway between the…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Daniel A. Lovey , Sergio S. Gomez , Rodolfo H. Romero

We use the Aharonov-Bohm effect in a four-terminal ring based on a Ga[Al]As heterostructure for the measurement of the relative transmission phase. In each of the two interfering paths we induce a quantum dot. The number of electrons in the…

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

Recent experiments involving semiconducting quantum dots embedded in Aharonov-Bohm interferometry setups suggest that information concerning the phase of electron wavefunctions can be obtained from transport measurements. Here we review the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Gefen

We theoretically investigate electron transport through an Aharonov-Bohm interferometer containing laterally coupled double quantum dots. We introduce the indirect coupling parameter $\alpha$, which characterizes the strength of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Toshihiro Kubo , Yasuhiro Tokura , Tsuyoshi Hatano , Seigo Tarucha

Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance which contains a term $\cos(\phi+\beta)$, where $\phi$ relates to the magnetic flux. Experiments with a quantum dot on one of the interfering paths aim to relate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Entin-Wohlman , A. Aharony , Y. Imry , Y. Levinson , A. Schiller

We theoretically examine the transport through an Aharonov-Bohm ring with an embedded quantum dot (QD), the so-called QD interferometer, to address two controversial issues regarding the shape of the Coulomb peaks and measurement of the…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Mikio Eto , Rui Sakano

Recently, A. Jerez, P. Vitushinsky and M. Lavagna [Phys. Rev. Lett. 95, 127203 (2005)] claimed that the transmission phase through a quantum fot, as measured via the Aharonov-Bohm interferometer, differs from the phase which determines the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Aharony , O. Entin-Wohlman , Y. Oreg , J. von Delft

We address the question of how to model electron transport through closed Aharonov-Bohm interferometers which contain quantum dots. By explicitly studying interferometers with one and two quantum dots, we establish the connection between a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Björn Kubala , Jürgen König

An Aharonov-Bohm interferometer (ABI) carrying a quantum dot on one of its arms is analyzed. It is found that the Kondo temperature of the device depends strongly on the magnetic flux penetrating the ring. As a result, mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pascal Simon , Ora Entin-Wohlman , Amnon Aharony

In the present work we explore electron transport properties through a quantum interferometer attached symmetrically to two one-dimensional semi-infinite metallic electrodes, namely, source and drain. The interferometer is made up of two…

Mesoscale and Nanoscale Physics · Physics 2010-05-03 Santanu K. Maiti

Although the conductance of a closed Aharonov-Bohm interferometer, with a quantum dot on one branch, obeys the Onsager symmetry under magnetic field reversal, it needs not be a periodic function of this field: the conductance maxima move…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Amnon Aharony , Ora Entin-Wohlman , Tomohiro Otsuka , Shingo Katsumoto , Hisashi Aikawa , Kensuke Kobayashi

Measurements of the transmission phase in transport through a quantum dot embedded in an Aharonov-Bohm interferometer show systematic sequences of phase lapses separated by Coulomb peaks. Using a two-level quantum dot as an example we show…

Strongly Correlated Electrons · Physics 2008-11-26 D. I. Golosov , Yuval Gefen

A quantum two-path interferometer allows for direct measurement of the transmission phase shift of an electron, providing useful information on coherent scattering problems. In mesoscopic systems, however, the two-path interference is…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 S. Takada , M. Yamamoto , C. Bäuerle , K. Watanabe , A. Ludwig , A. D. Wieck , S. Tarucha

The conductance ${\cal G}$ of an Aharonov-Bohm interferometer (ABI), with a strongly correlated quantum dot on one arm, is expressed in terms of the dot Green function, $G_{dd}$, the magnetic flux $\phi$ and the non-interacting parameters…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Amnon Aharony , Ora Entin-Wohlman
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