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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

We investigate the dynamics of charge--states coherence in a degenerate double--dot Aharonov--Bohm interferometer with finite interdot Coulomb interactions. The quantum coherence of the charge states is found to be sensitive to the…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Jinshuang Jin , Shikuan Wang , Jiahuan Zhou , Wei-Min Zhang , YiJing Yan

We study the invariant measure of the transport correlator for a chiral Hamiltonian and analyze its properties. The Jacobian of the invariant measure is a function of random phases. Then we distinguish the invariant measure before and after…

Disordered Systems and Neural Networks · Physics 2024-04-08 Klaus Ziegler

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

Coulomb interactions have a major role in one-dimensional electronic transport. They modify the nature of the elementary excitations from Landau quasiparticles in higher dimensions to collective excitations in one dimension. Here we report…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 E. Bocquillon , V. Freulon , J. -M. Berroir , P. Degiovanni , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

We compute the temperature, voltage, and magnetic field dependences of the resistance oscillations of a model interferometer designed to measure the fractional statistics of the quasiparticles in the fractional quantum Hall (FQH) effect.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eun-Ah Kim

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

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

A model is developed for a detailed investigation of the current flowing through a cylindrical nanosize MOSFET with a close gate electrode. The quantum mechanical features of the lateral charge transport are described by Wigner distribution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. N. Balaban , E. P. Pokatilov , V. M. Fomin , V. N. Gladilin , J. T. Devreese , W. Magnus , W. Schoenmaker , M. Van Rossum , B. Soree

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

There has been a growing interest in hybrid quantum Hall (QH) superconductor devices, driven by the prospect to realize exotic ground states and excitations with non-abelian exchange statistics. While the existing experiments clearly…

Signatures of quantum transport are expected to quickly vanish as dissipation is introduced in a system. This dissipation can take several forms, including that of particle loss, which has the consequence that the total probability current…

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

We have studied the zero-temperature statistics of charge transfer between the two edges of Quantum Hall liquids with filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$ forming Mach-Zehnder interferometer. The known Bethe ansatz solution for…

Strongly Correlated Electrons · Physics 2015-05-13 Vadim V. Ponomarenko , Dmitri V. Averin

We study the coherent transport in multi-terminal mesoscopic Aharonov-Bohm ring with a quantum dot embedded in an arm. Employing the Friedel sum rule for the effective single-particle levels in the quantum dot, we explain some anomalous…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kicheon Kang

The problem of long-distance teleportation of single-atom qubits via a common photonic channel is examined within the framework of a Mach-Zender optical interferometer. As expected, when a coherent state is used as input, a high-finesse…

Quantum Physics · Physics 2007-05-23 Y. P. Huang , M. G. Moore

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 an electronic Mach-Zehnder (MZ) interferometer based on quantum Hall (QH) edge states by a micromiter-sized Ohmic contact embedded in one of its arms. We find that at the filling factor $\nu=1$, as well as in the case…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Edvin G. Idrisov , Ivan P. Levkivskyi , Eugene V. Sukhorukov

Traditionally, the understanding of quantum transport, coherent and ballistic1, relies on the measurement of macroscopic properties such as the conductance. While powerful when coupled to statistical theories, this approach cannot provide a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Hackens , F. Martins , T. Ouisse , H. Sellier , S. Bollaert , X. Wallart , A. Cappy , J. Chevrier , V. Bayot , S. Huant

A quantum Hall system which is divided into two laterally coupled subsystems by means of a tunneling barrier exhibits a complex Landau level dispersion. Magnetotunneling spectroscopy is employed to investigate the small energy gaps which…

Mesoscale and Nanoscale Physics · Physics 2008-02-05 Matthias Habl , Werner Wegscheider