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The electron transmission through a {\it closed} Aharonov-Bohm mesoscopic solid-state interferometer, with a quantum dot (QD) on one of the paths, is calculated exactly for a simple model. Although the conductance is an even function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Amnon Aharony , Ora Entin-Wohlman , Yoseph Imry

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

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

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

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

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

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

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

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 investigate an electronic Mach-Zehnder interferometer with high visibility in the quantum Hall regime. The superposition of the electrostatic potentials from a quantum point contact (QPC) and the residual disorder potential from doping…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 L. V. Litvin , A. Helzel , H. -P. Tranitz , W. Wegscheider , C. Strunk

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

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

Recent double-slit interference experiments have demonstrated the possibility of probing the phase of the complex transmission coefficient of a quantum dot via the Aharonov-Bohm effect. We propose an extension of these experiments: an ac…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. P. Jauho , Ned S. Wingreen

We study the effects of Kondo correlations on the transmission phase shift of a quantum dot coupled to two leads in comparison with the experimental determinations made by Aharonov-Bohm (AB) quantum interferometry. We propose here a…

Strongly Correlated Electrons · Physics 2009-11-11 A. Jerez , P. Vitushinsky , M. Lavagna

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

Quantum coherent properties of electrons can be studied in Aharonov-Bohm (AB) interferometers. We investigate both experimentally and theoretically the transmission phase evolution in a four-terminal quasi-one-dimensional AlGaAs/GaAs-based…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Christoph Kreisbeck , Tobias Kramer , Sven S. Buchholz , Saskia F. Fischer , Ulrich Kunze , Dirk Reuter , Andreas D. Wieck

Phase sensitivity and thermal dephasing in coherent electron transport in quasi one-dimensional (1D) waveguide rings of an asymmetric four-terminal geometry are studied by magnetotransport measurements. We demonstrate the electrostatic…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Sven S. Buchholz , Saskia F. Fischer , Ulrich Kunze , Matthew Bell , Dirk Reuter , Andreas D. Wieck

We have performed time-dependent wave packet simulations of realistic Aharonov-Bohm (AB) devices with a quantum dot embedded in one of the arms of the interferometer. The AB ring can function as a measurement device for the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2017-02-23 Christoph Kreisbeck , Tobias Kramer , Rafael A. Molina

Detecting the transmission phase of a quantum dot via interferometry can reveal the symmetry of the orbitals and details of electron transport. Crucially, interferometry will enable the read-out of topological qubits based on…

The ``Which Path?'' interferometer consists of an Aharonov-Bohm ring with a quantum dot (QD) built in one of its arms, and an additional quantum point contact (QPC) located close to the QD. The transmission coefficient of the QPC depends on…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. L. Aleiner , Ned S. Wingreen , Yigal Meir
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