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We investigate a Fabry-P\'erot interferometer in the integer Hall regime in which only one edge channel is transmitted and n channels are trapped into the interferometer loop. Addressing recent experimental observations, we assume that…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 D. Ferraro , E. Sukhorukov

We study the Aharonov-Bohm effect in a coupled 2$\times$2 quantum dot array with two-terminals. A striking conductance dip arising from the Fano interference is found as the energy levels of the intermediate dots are mismatched, which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , F. Claro , Alejandro Pérez

We report on quantum interference between a pair of counterpropagating quantum Hall edge states that are separated by a high quality tunnel barrier. Observed Aharonov-Bohm oscillations are analyzed in terms of resonant tunneling between…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Yang , W. Kang , L. N. Pfeiffer , K. W. Baldwin , K. W. West , Eun-Ah Kim , E. Fradkin

We have measured transport through mesoscopic Aharonov-Bohm (AB) rings with two different four-terminal configurations. While the amplitude and the phase of the AB oscillations are well explained within the framework of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kensuke Kobayashi , Hisashi Aikawa , Shingo Katsumoto , Yasuhiro Iye

We report on theoretical and experimental investigations of the integer quantized Hall effect in narrow channels at various mobilities. The Hall bars are defined electrostatically in two-dimensional electron systems by biasing metal gates…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Horas , A. Siddiki , J. Moser , W. Wegscheider , S. Ludwig

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

Electronic transport through a quantum dot chain embodied in an Aharonov-Bohm interferometer is theoretically investigated. In such a system, it is found that only for the configurations with the same-numbered quantum dots side-coupled to…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Yu Han , Weijiang Gong , Haina Wu , Guozhu Wei

Quantum dots in the quantum Hall regime can have pairs of single Slater determinant states that are degenerate in energy. We argue that these pairs of many body states may give rise to a Kondo effect which can be mapped into an ordinary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mahn-Soo Choi , Nak Yeon Hwang , S. -R. Eric Yang

The topic of this contribution is the investigation of quantum states and quantum Hall effect in electron gas subjected to a periodic potential of the lateral lattice. The potential is formed by triangular quantum antidos located on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Ya. Demikhovskii , A. A. Perov

We consider the currents flowing in a solid-state interferometer under the effect of both an Aharonov-Bohm phase and a bias potential. Expressions are obtained for these currents, allowing for electronic or electron-boson interactions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 O. Entin-Wohlman , Y. Imry , A. Aharony

We investigate theoretically the phase coherence of electron transport in edge states of the integer quantum Hall effect at filling factor $\nu=2$, in the presence of disorder and inter-edge state Coulomb interaction. Within a Fokker-Planck…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Simon E. Nigg , Anders Mathias Lunde

Electrons living in a two-dimensional world under a strong magnetic field - the so-called fractional quantum Hall effect (FQHE) - often manifest themselves as fractionally charged quasiparticles (anyons). Moreover, being under special…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Bhattacharyya , Mitali Banerjee , Moty Heiblum , Diana Mahalu , Vladimir Umansky

The Fano effect, which occurs through the quantum-mechanical cooperation between resonance and interference, can be observed in electron transport through a hybrid system of a quantum dot and an Aharonov-Bohm ring. While a clear correlation…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Kensuke Kobayashi , Hisashi Aikawa , Shingo Katsumoto , Yasuhiro Iye

In the quantum Hall effect regime, taking place in a two-dimensional-electron gas under strong magnetic field, currents flow along the edges of the sample. For some particle-hole conjugate states of the fractional regime, e.g., with filling…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Aveek Bid , Nissim Ofek , Hiroyuki Inoue , Moty Heiblum , Charles Kane , Vladimir Umansky , Diana Mahalu

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

We report measurements of resistance oscillations in micron-scale antidots in both the integer and fractional quantum Hall regimes. In the integer regime, we conclude that oscillations are of the Coulomb type from the scaling of magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 A. Kou , C. M. Marcus , L. N. Pfeiffer , K. W. West

An experiment to observe the Aharonov-Bohm effect is discussed. A solenoid which consists of a large number of point magnetic dipoles is considered as the source of a vector potential, which acts on a charged particle, and such potential…

Quantum Physics · Physics 2021-10-19 V. Rubaev , L. Fedichkin

Semiconductors' sensitivity to electrostatic gating and doping accounts for their widespread use in information communication and new energy technologies. It is demonstrated quantitatively and with no adjustable parameters that the presence…

Mesoscale and Nanoscale Physics · Physics 2023-02-27 Tomasz Dietl

We show theoretically that the strong coupling of circularly polarized photons to an exciton in ring-like semiconductor nanostructures results in physical nonequivalence of clockwise and counterclockwise exciton rotations in the ring. As a…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 O. V. Kibis , H. Sigurdsson , I. A. Shelykh

The Aharonov-Bohm effect is a quantum mechanical phenomenon that demonstrates how potentials can have observable effects even when the classical fields associated with those potentials are absent. Initially proposed for electromagnetic…

Quantum Physics · Physics 2024-09-05 Michael E Tobar , Michael T Hatzon , Graeme R Flower , Maxim Goryachev