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We have studied theoretically the tunneling between two edges of Quantum Hall liquids (QHL) of different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two separate point contacts in the geometry of…

Strongly Correlated Electrons · Physics 2010-05-11 Vadim V. Ponomarenko , Dmitri V. Averin

A theoretical study of the single electron coherence properties of Lorentzian and rectangular pulses is presented. By combining bosonization and the Floquet scattering approach, the effect of interactions on a periodic source of voltage…

Mesoscale and Nanoscale Physics · Physics 2013-08-08 C. Grenier , J. Dubois , T. Jullien , P. Roulleau , D. C. Glattli , P. Degiovanni

The edge states of a two-dimensional topological insulator are characterized by their helicity, a very remarkable property which is related to the time-reversal symmetry and the topology of the underlying system. We theoretically…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 D. Ferraro , C. Wahl , J. Rech , T. Jonckheere , T. Martin

Manipulating electron quantum 1D channels is an important element in the field of quantum information due to their ballistic and phase coherence properties. In GaAs and graphene based two dimensional gas systems, these edge channels have…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Won Beom Choi , Myungjin Jeon , K. Watanabe , T. Taniguchi , Joonho Jang

We study quantum Hall interferometers in which the interference loop encircles a quantum anti-dot. We base our study on thermodynamic considerations, which we believe reflect the essential aspects of interference transport phenomena. We…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Sarah Levy Schreier , Ady Stern , Bernd Rosenow , Bertrand. I. Halperin

Commencing with the composite fermion description of the $\nu=5/2$ fractional quantum Hall effect, we study the dynamics of the edge neutral Majorana fermions. We confirm that these neutral modes are chiral and show that a conventional…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yue Yu

According to the bulk-edge correspondence principle, the physics of the gapless edge in the quantum Hall effect determines topological order in the gapped bulk. As the bulk is less accessible, the last two decades saw the emergence of…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Moty Heiblum , D. E. Feldman

We measure the magneto-conductance through a micron-sized quantum dot hosting about 500 electrons in the quantum Hall regime. In the Coulomb blockade, when the island is weakly coupled to source and drain contacts, edge reconstruction at…

The understanding of the Chern insulator and anomalous quantum Hall effect (AQHE) in terms of chiral edge states in confined systems is the first aim of the paper. The model we use consists in a diatomic square lattice with hopping to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 B. Ostahie , M. Nita , A. Aldea

Charge equilibration between quantum-Hall edge states can be studied to reveal geometric structure of edge channels not only in the integer quantum Hall (IQH) regime but also in the fractional quantum Hall (FQH) regime particularly for…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Chaojing Lin , Ryota Eguchi , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We study the quantum interference (QI) effects in three-terminal Andreev interferometers based on polyaromatic hydrocarbons (PAH's) under non-equilibrium conditions. The Andreev interferometer consists of a PAH coupled to two…

Mesoscale and Nanoscale Physics · Physics 2020-04-23 Noel L. Plaszkó , Peter Rakyta , József Cserti , Andor Kormányos , Colin J. Lambert

The influence of electromagnetic vacuum fluctuations in the presence of the perfectly conducting plate on electrons is studied with an interference experiment. The evolution of the reduced density matrix of the electron is derived by the…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Tsung Hsiang , Da-Shin Lee

We compute the backscattered current in a double point-contact geometry of a Quantum Hall system at filling fraction $\nu=5/2$ as a function of bias voltage in the weak backscattering regime. We assume that the system is in the universality…

Strongly Correlated Electrons · Physics 2015-05-13 Waheb Bishara , Chetan Nayak

The fractional quantum Hall effect (FQHE) stands as a quintessential manifestation of an interacting two-dimensional electron system. One of FQHE's most fundamental characteristics is the energy gap separating the incompressible ground…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We propose ways to create and detect fractionally charged excitations in \emph{integer} quantum Hall edge states. The charge fractionalization occurs due to the Coulomb interaction between electrons propagating on different edge channels.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. Berg , Y. Oreg , E. -A. Kim , F. von Oppen

It has been observed experimentally [H.R. Xia, C.Y. Ye, and S.Y. Zhu, Phys. Rev. Lett. {\bf 77}, 1032 (1996)] that quantum interference between two molecular transitions can lead to a suppression or enhancement of spontaneous emission. This…

Quantum Physics · Physics 2009-10-31 Jin Wang , H. M. Wiseman , Z. Ficek

We consider signatures of abelian and nonabelian quasiparticle statistics in quantum Hall Fabry-Perot interferometers. When quasiparticles enter and exit the interference cell, for instance due to glassy motion in the dopant layer, the…

Mesoscale and Nanoscale Physics · Physics 2012-06-29 Bernd Rosenow , Steven H. Simon

In quantum anomalous Hall (QAH) insulators, the interior is insulating but electrons can travel with zero resistance along one-dimensional conducting paths known as chiral edge channels (CECs). These CECs have been predicted to be confined…

Quantum interference between interacting systems is fundamental to basic science and quantum technology, but it typically requires precise control of the interaction phases of lasers or microwave generators. Can interference be observed if…

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