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Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…

We consider a two-particle interferometer, where voltage sources applied to ohmic contacts inject electronic excitations into a pair of copropagating edge channels. We analyze the impact of channel mixing due to inter-edge tunneling on the…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 Matteo Acciai , Preden Roulleau , D. Christian Glattli , Janine Splettstoesser

We consider a Hong-Ou-Mandel interferometer for Lorentzian voltage pulses applied to Quantum Hall edge channels at filling factor $\nu=2$. Due to inter-edge interactions, the injected electronic wave-packets fractionalize before…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 G. Rebora , M. Acciai , D. Ferraro , M. Sassetti

We develop the theory of electronic Mach-Zehnder interferometers built from quantum Hall edge states at Landau level filling factor \nu = 2, which have been investigated in a series of recent experiments and theoretical studies. We show…

Strongly Correlated Electrons · Physics 2013-04-11 M. J. Rufino , D. L. Kovrizhin , J. T. Chalker

We present an experiment where the quantum coherence in the edge states of the integer quantum Hall regime is tuned with a decoupling gate. The coherence length is determined by measuring the visibility of quantum interferences in a…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 P-A. Huynh , F. Portier , H. le Sueur , G. Faini , U. Gennser , D. Mailly , F. Pierre , W. Wegscheider , P. Roche

Studies of electronic interferometers, based on edge channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges.These studies…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Itamar Sivan , Hyungkook Choi , Amir Rosenblatt , Jinhong Park , Yuval Gefen , Diana Mahalu , Vladimir Umansky

We compute the interference pattern of a Mach-Zehnder interferometer operating in the fractional quantum Hall effect. Our theoretical proposal is inspired by a remarkable experiment on edge states in the Integer Quantum Hall effect (IQHE).…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thibaut Jonckheere , Pierre Devillard , Adeline Crepieux , Thierry Martin

Electronic Mach-Zehnder interferometers in the Quantum Hall (QH) regime are currently discussed for the realization of quantum information schemes. A recently proposed device architecture employs interference between two co-propagating edge…

Mesoscale and Nanoscale Physics · Physics 2013-12-06 N. Paradiso , S. Heun , S. Roddaro , L. N. Pfeiffer , K. W. West , L. Sorba , G. Biasiol , F. Beltram

We consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of…

Mesoscale and Nanoscale Physics · Physics 2007-08-15 Vadim V. Ponomarenko , Dmitri V. Averin

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 propose a simple physical model which describes dephasing in the electronic Mach-Zehnder interferometer at filling factor 2. This model explains very recent experimental results, such as the unusual lobe-type structure in the visibility…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ivan P. Levkivskyi , Eugene V. Sukhorukov

An electronic Mach Zehnder interferometer is used in the integer quantum hall regime at filling factor 2, to study the dephasing of the interferences. This is found to be induced by the electrical noise existing in the edge states…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Roulleau , F. Portier , P. Roche , A. Cavanna , G. Faini , U. Gennser , D. Mailly

We numerically investigate the interplay of disorder and electron-electron interactions in the integer quantum Hall effect. In particular, we focus on the behaviour of the electronic compressibility as a function of magnetic field and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christoph Sohrmann , Rudolf A. Roemer

We present measurements of the real diagonal microwave conductivity of the reentrant insulating quantum Hall phases in the first excited Landau level at temperatures below 50 mK. A resonance is detected around filling factor $\nu=2.58$ and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. M. Lewis , Yong P. Chen , L. W. Engel , D. C. Tsui , L. N. Pfeiffer , K. W. West

We have determined the finite temperature coherence length of edge states in the Integer Quantum Hall Effect (IQHE) regime. This was realized by measuring the visibility of electronic Mach-Zehnder interferometers of different sizes, at…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Roulleau , F. Portier , P. Roche , A. Cavanna , G. Faini , U. Gennser , D. Mailly

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

The quantum coherence of electronic quasiparticles underpins many of the emerging transport properties of conductors at small scales. Novel electronic implementations of quantum optics devices are now available with perspectives such as…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 H. Duprez , E. Sivre , A. Anthore , A. Aassime , A. Cavanna , A. Ouerghi , U. Gennser , F. Pierre

We analyze the magnetic field and gate voltage dependence of the longitudinal resistance in an integer quantum Hall Fabry-P\'{e}rot interferometer, taking into account the interactions between an interfering edge mode, a non-interfering…

Mesoscale and Nanoscale Physics · Physics 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow

We investigate electronic transport in dual-gated twisted bilayer graphene. Despite the sub-nanometer proximity between the layers, we identify independent contributions to the magnetoresistance from the graphene Landau level spectrum of…

The spatial behavior of Landau levels (LLs) for the $nu=1$ quantum Hall regime at the edge of a wide channel is studied in a self-consistent way by using a generalized local density approximation proposed here. Both exchange interaction and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. G. Balev , Nelson Studart