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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

Tunneling conductance of an Aharonov-Bohm circuit including two quantum dots is calculated based on the general expression of the conductance in the linear response regime of the bias voltage. The calculation is performed in a wide…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wataru Izumida , Osamu Sakai , Yukihiro Shimizu

We study the Coulomb interaction-induced Aharonov-Bohm (AB) oscillations in the linear response transport through a remote quantum dot which has no tunnel coupling but has Coulomb coupling with the quantum dot embedded in an AB…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 Toshihiro Kubo , Yasuhiro Tokura

We study point-contact tunneling in the integer quantum Hall state of bosons. This symmetry-protected topological state has electrical Hall conductivity equal to $2 e^2/h$ and vanishing thermal Hall conductivity. In contrast to the integer…

Strongly Correlated Electrons · Physics 2014-07-24 Michael Mulligan , Matthew P. A. Fisher

We consider electron transport through a quantum point contact between compressible Quantum Hall liquids and derive the contact's impedance function for both diffusive and ballistic regimes of the bulk electron motion. In either regime, the…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko

The conductance of systems containing two tunnel point-contacts and a single subsurface scatterer is investigated theoretically. The problem is solved in the approximation of s-wave scattering giving analytical expressions for the wave…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 N. V. Khotkevych , Yu. A. Kolesnichenko , J. M. van Ruitenbeek

In quantum Hall systems with two narrow constrictions, tunneling between opposite edges can give rise to quantum interference and Aharonov-Bohm-like oscillations of the conductance. When there is an integer quantized Hall state within the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. Rosenow , B. I. Halperin

We derive, from first principles, the complete Luttinger liquid theory of abelian quantum Hall edge states. This theory includes the effects of disorder and Coulomb interactions as well as the coupling to external electromagnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Skoric , A. M. M. Pruisken

Multi-terminal Aharonov-Bohm (AB) rings are ideal building blocks for quantum networks (QNs) thanks to their ability to map input states into controlled coherent superpositions of output states. We report on experiments performed on…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 E. Strambini , V. Piazza , G. Biasiol , L. Sorba , F. Beltram

Recent experiments performed on weakly pinched quantum point contacts, have shown a resistance that tend to decrease at low source drain voltage. We show that enhanced Coulomb interactions, prompt by the presence of the point contact, may…

Strongly Correlated Electrons · Physics 2009-11-11 Dganit Meidan , Yuval Oreg

We propose and study the charge transport through single and double quantum point contacts setup between helical Majorana modes and an interacting helical Luttinger liquid. We show that the differential conductance decreases for stronger…

Strongly Correlated Electrons · Physics 2015-06-17 Sung-Po Chao , Thomas L. Schmidt , Chung-Hou Chung

The influence of a quantizing magnetic field $H$ to the conductance of a tunnel point contact in the presence of the single defect has been considered. We demonstrate that the conductance exhibits specific magneto-quantum oscillations, the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ye. S. Avotina , Yu. A. Kolesnichenko , A. F. Otte , J. M. van Ruitenbeek

We consider a ring of strongly interacting electrons connected to two external leads by tunnel junctions. By studying the positions of conductance resonances as a function of gate voltage and magnetic flux the interaction parameter $g$ can…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jari M. Kinaret , Mats Jonson , Robert I. Shekhter , Sebastian Eggert

We propose a scenario to understand the puzzling features of the recent experiment by Kang and coworkers on tunneling between laterally coupled quantum Hall liquids by modeling the system as a pair of coupled chiral Luttinger liquid with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Eun-Ah Kim , Eduardo Fradkin

The unique properties of quantum Hall devices arise from the ideal one-dimensional edge states that form in a two-dimensional electron system at high magnetic field. Tunnelling between edge states across a quantum point contact (QPC) has…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 F. Martins , S. Faniel , B. Rosenow , H. Sellier , S. Huant , M. G. Pala , L. Desplanque , X. Wallart , V. Bayot , B. Hackens

Aharonov-Bohm (AB) interferences in the quantum Hall regime can be achieved, provided that electrons are able to transmit between two edge channels in nanostructures. Pioneering approaches include quantum point contacts in 2DEG systems,…

Mesoscale and Nanoscale Physics · Physics 2019-11-21 Viet Hung Nguyen , Jean-Christophe Charlier

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

Aharonov-Bohm (AB) oscillations are studied for a parallel coupled vertical double quantum dot with a common source and drain electrode. We observe AB oscillations of current via a one-electron bonding state as the ground state and an…

Mesoscale and Nanoscale Physics · Physics 2011-02-18 T. Hatano , T. Kubo , Y. Tokura , S. Amaha , S. Teraoka , S. Tarucha

On the basis of the Chalker-Coddington network model, a numerical and analytical study is made of the statistics of point-contact conductances for systems in the integer quantum Hall regime. In the Hall plateau region the point-contact…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Martin Janssen , Marcus Metzler , Martin R. Zirnbauer

By considering a nanoscale Aharonov-Bohm (AB) interferometer containing a parrallel-coupled double dot coupled to the source and drain electrodes, we investigate the AB phase oscillations of transport current via the bonding and antibonding…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Jian-Heng Liu , Matisse Wei-Yuan Tu , Wei-Min Zhang
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