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Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is…

Quantum Physics · Physics 2009-11-10 De-Hone Lin

We propose a standard time-of-flight experiment as a method for observing the anyonic statistics of quasiholes in a fractional quantum Hall state of ultracold atoms. The quasihole states can be stably prepared by pinning the quasiholes with…

Quantum Gases · Physics 2018-06-08 Rifat Onur Umucalilar , Elia Macaluso , Tommaso Comparin , Iacopo Carusotto

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

The quasiparticles in Quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could in principle be used for…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 T. H. Hansson , M. Hermanns , N. Regnault , S. Viefers

The fractional Aharonov-Bohm oscillation (FABO) of narrow quantum rings with two electrons has been studied and has been explained in an analytical way, the evolution of the period and amplitudes against the magnetic field can be exactly…

Mesoscale and Nanoscale Physics · Physics 2008-01-19 He Yanzhang , Bao Chengguang

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

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

So far, experimentally realized quantum anomalous Hall (QAH) insulators all exhibit ferromagnetic order and the QAH effect only occurs at very low temperatures. On the other hand, up to now the QAH effect in antiferromagnetic (AFM)…

Materials Science · Physics 2024-03-20 Peng-Jie Guo , Zheng-Xin Liu , Zhong-Yi Lu

We formulate the Kohn-Sham equations for the fractional quantum Hall effect by mapping the original electron problem into an auxiliary problem of composite fermions that experience a density dependent effective magnetic field.…

Strongly Correlated Electrons · Physics 2019-10-30 Yayun Hu , J. K. Jain

We investigate magnetic deflection of currents that flow across the Aharonov-Bohm interferom- eters defined in graphene. We consider devices induced by closed n-p junctions in nanoribbons as well as etched quantum rings. The deflection…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 Alina Mrenca-Kolasinska , Bartlomiej Szafran

Two distinct types of magnetoresistance oscillations are observed in two electronic Fabry-Perot interferometers of different sizes in the integer quantum Hall regime. Measuring these oscillations as a function of magnetic field and gate…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Yiming Zhang , D. T. McClure , E. M. Levenson-Falk , C. M. Marcus , L. N. Pfeiffer , K. W. West

We investigate the fractional quantum anomalous Hall (FQAH) effect in rhombohedral multilayer graphene (RnG) in the presence of a strong applied displacement field. We first introduce the interacting model of RnG, which includes the…

Strongly Correlated Electrons · Physics 2025-02-17 Ke Huang , Sankar Das Sarma , Xiao Li

Applying a unified approach, we study integer quantum Hall effect (IQHE) and fractional quantum Hall effect (FQHE) in the Hofstadter model with short range interaction between fermions. An effective field, that takes into account the…

Strongly Correlated Electrons · Physics 2021-05-10 Igor N. Karnaukhov

New experiments are presented on the transmission of electron waves through a 2DEG (2 dimensional electron gas) ring with a gate on top of one of the branches. Magnetoconductance oscillations are observed, and the phase of the Aharanov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 G. Cernicchiaro , T. Martin , K. Hasselbach , D. Mailly , A. Benoit

We study tunneling through an edge state formed around an antidot in the fractional quantum Hall regime using Wen's chiral Luttinger liquid theory extended to include mesoscopic effects. We identify a new regime where the Aharonov-Bohm…

Condensed Matter · Physics 2009-10-28 Michael R. Geller , Daniel Loss , George Kirczenow

We investigate shot noise at {\it finite temperatures} induced by the quasi-particle tunneling between fractional quantum Hall (FQH) edge states. The resulting Fano factor has the peak structure at a certain bias voltage. Such a structure…

Mesoscale and Nanoscale Physics · Physics 2012-04-10 E. Iyoda , T. Fujii

We propose a quantitative test of the quantum nonlocality in the electromagnetic interaction that generates the Aharonov-Bohm effect. For this purpose, we derive an interaction Lagrangian based on the local action of gauge-invariant…

Quantum Physics · Physics 2025-06-11 Kicheon Kang

Using time-resolved infrared-vacuum-ultraviolet double-resonance spectroscopy, experimental room temperature measurements of state-to-state rate coefficients for rotational energy transfer within the X $^1\Sigma^+(v=2)$ vibrational state of…

Quantum Physics · Physics 2026-03-10 Hamza Labiad , Alexandre Faure , Ian R. Sims

Very much like the ubiquitous quantum interference of a single particle with itself, quantum interference of two independent, but indistinguishable, particles is also possible. This interference is a direct result of quantum exchange…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , N. Ofek , Y. Chung , M. Heiblum , D. Mahalu , V. Umansky

A detailed description of the tunneling processes within Aharonov-Bohm (AB) rings containing two-dimensional quantum dots is presented. We show that the electronic propagation through the interferometer is controlled by the spectral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Moldoveanu , M. Ţolea , A. Aldea , B. Tanatar
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