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We develop a theoretical description of a Mach-Zehnder interferometer built from integer quantum Hall edge states, with an emphasis on how electron-electron interactions produce decoherence. We calculate the visibility of interference…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 J. T. Chalker , Yuval Gefen , M. Y. Veillette

We study dephasing in electron transport through a large quantum dot (a Fabry-Perot interferometer) in the fractional quantum Hall regime with filling factor $2/3$. In the regime of sequential tunneling, dephasing occurs due to electron…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Jinhong Park , Yuval Gefen , H. -S. Sim

A quantum Hall interferometer containing a grounded superconducting terminal is proposed. This geometry allows to control the Andreev and normal scattering amplitudes of sub-gap Bogoliubov quasiparticles with the Aharonov-Bohm phase, as…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Vadim Khrapai

The remarkable Cooper-like pairing phenomenon in the Aharonov-Bohm interference of a Fabry-Perot interferometer (FPI)$\rm{-}$operating in the integer quantum Hall regime$\rm{-}$remains baffling. Here, we report the interference of paired…

Mesoscale and Nanoscale Physics · Physics 2023-09-04 Sourav Biswas , Hemanta Kumar Kundu , Vladimir Umansky , Moty Heiblum

One of the points at issue with closed-loop-type interferometers is beating in the Aharonov-Bohm (AB) oscillations. Recent observations suggest the possibility that the beating results from the Berry-phase pickup by the conducting electrons…

Mesoscale and Nanoscale Physics · Physics 2008-06-11 Sanghyun Jo , Gyong Luck Khym , Dong-In Chang , Yunchul Chung , Hu-Jong Lee , Kicheon Kang , Diana Mahalu , Vladimir Umansky

In this work, the classical and the quantum capacitances are calculated for a Fabry-P\'{e}rot interferometer operating in the integer quantized Hall regime. We first consider a rotationally symmetric electrostatic confinement potential and…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 O. Kilicoglu , D. Eksi , A. Siddiki

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 derive a general capacitive interaction model for an antidot-based interferometer in the integer quantum Hall regime, and study Aharonov-Bohm resonances in a single antidot with multiple bound modes, as a function of the external…

Mesoscale and Nanoscale Physics · Physics 2011-01-17 W. -R. Lee , H. -S. Sim

Recent experiment [Sigrist et al., Phys. Rev. Lett. {\bf 98}, 036805 (2007)] reported switches between 0 and $\pi$ in the phase of Aharonov-Bohm oscillations of the two-terminal differential conductance through a two-dot ring with…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Vadim I. Puller , Yigal Meir

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

Electron-electron interactions seem to play a surprisingly small role in the description of the integer quantum Hall effect, considering that for just slightly different filling factors the interactions are of utmost importance causing the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christoph Sohrmann , Rudolf A. Roemer

We demonstrate real-time detection of self-interfering electrons in a double quantum dot embedded in an Aharonov-Bohm interferometer, with visibility approaching unity. We use a quantum point contact as a charge detector to perform…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Gustavsson , R. Leturcq , M. Studer , T. Ihn , K. Ensslin , D. C. Driscoll , A. C. Gossard

Resistance oscillations in electronic Fabry-Perot interferometers near fractional quantum Hall (FQH) filling factors 1/3, 2/3, 4/3 and 5/3 in the constrictions are compared to corresponding oscillations near integer quantum Hall (IQH)…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 D. T. McClure , W. Chang , C. M. Marcus , L. N. Pfeiffer , K. W. West

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Struck , Bernhard Kramer

We experimentally realize quantum Hall Mach-Zehnder interferometer which operates far beyond the equilibrium. The operation of the interferometer is based on allowed intra-edge elastic transitions within the same Landau sublevel in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. V. Deviatov , A. Ganczarczyk , A. Lorke , G. Biasiol , L. Sorba

We discuss the effect of quantum interference on transport through a quantum dot system. We introduce an indirect coherent coupling parameter alpha, which provides constructive/destructive interference in the transport current depending on…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Tokura , H. Nakano , T. Kubo

This work studies the interference of electrons in the presence of a line of magnetic flux surrounded by a normal-conducting mesoscopic cylinder at low temperature. It is found that, while there is a supplementary phase contribution from…

Quantum Physics · Physics 2009-10-30 Silviu Olariu

We report the detection of spin interference signal in an Aharonov-Bohm type interferometer with quantum dots on the conduction paths. We have found that resonators like quantum dots can work as efficient spin rotators. The interference…

Mesoscale and Nanoscale Physics · Physics 2016-08-01 Yu Iwasaki , Yoshiaki Hashimoto , Taketomo Nakamura , Shingo Katsumoto

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

We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation we find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus
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