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We investigate the energy exchanges along an electronic quantum channel realized in the integer quantum Hall regime at filling factor $\nu_L=2$. One of the two edge channels is driven out-of-equilibrium and the resulting electronic energy…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 H. le Sueur , C. Altimiras , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

We study equilibration of quantum Hall edge states at integer filling factors, motivated by experiments involving point contacts at finite bias. Idealising the experimental situation and extending the notion of a quantum quench, we consider…

Strongly Correlated Electrons · Physics 2011-09-23 D. L. Kovrizhin , J. T. Chalker

In this work we address the recent experiment of Altimiras and collaborators, where an electron distribution function at the quantum Hall (QH) edge at filling factor 2 has been measured with high precision. It has been reported that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Ivan P. Levkivskyi , Eugene V. Sukhorukov

A unified approach to decoherence and relaxation of energy resolved single electron excitations in Integer Quantum Hall edge channels is presented. Within the bosonization framework, relaxation and decoherence induced by interactions and…

Mesoscale and Nanoscale Physics · Physics 2009-12-15 Pascal Degiovanni , Charles Grenier , Gwendal Fève

The one-dimensional, chiral edge channels of the quantum Hall effect are a promising platform in which to implement electron quantum optics experiments; however, Coulomb interactions between edge channels are a major source of decoherence…

Mesoscale and Nanoscale Physics · Physics 2020-05-19 R. H. Rodriguez , F. D. Parmentier , D. Ferraro , P. Roulleau , U. Gennser , A. Cavanna , M. Sassetti , F. Portier , D. Mailly , P. Roche

We demonstrated a method to probe local electronic states and energy relaxation in quantum Hall edge states utilizing quantum point contacts. We evaluated relaxation lengths in two cases; first, with electron tunneling, and second, only…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 Tomohiro Otsuka , Yuuki Sugihara , Jun Yoneda , Takashi Nakajima , Seigo Tarucha

Studies of energy flow in quantum systems complement the information provided by common conductance measurements. The quantum limit of heat flow in one dimensional (1D) ballistic modes was predicted, and experimentally demonstrated, to have…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Amir Rosenblatt , Sofia Konyzheva , Fabien Lafont , Noam Schiller , Jinhong Park , Kyrylo Snizhko , Moty Heiblum , Yuval Oreg , Vladimir Umansky

Quantum Hall edge channels offer an efficient and controllable platform to study quantum transport in one dimension. Such channels are a prospective tool for the efficient transfer of quantum information at the nanoscale, and play a vital…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 T. Krähenmann , S. G. Fischer , M. Röösli , T. Ihn , C. Reichl , W. Wegscheider , K. Ensslin , Y. Gefen , Y. Meir

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 Pascal Degiovanni , Charles Grenier , Gwendal Fève , Carles Altimiras , Hélène Le Sueur , Frédéric Pierre

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function…

Strongly Correlated Electrons · Physics 2012-09-12 D. L. Kovrizhin , J. T. Chalker

We demonstrate an innovative quantum Hall circuit with variable geometry employing the moveable electrostatic potential induced by a biased atomic force microscope tip. We exploit this additional degree of freedom to identify the…

We theoretically investigate the evolution of the peak height of an energy resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor $\nu=2$. This is ultimately related to the…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 G. Rebora , D. Ferraro , R. H. Rodriguez , F. D. Parmentier , P. Roche , M. Sassetti

When two separately contacted quantum Hall (QH) edge channels are brought into interaction, they can equilibrate their imbalance via scattering processes. In the present work we use a tunable QH circuit to implement a junction between…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Nicola Paradiso , Stefan Heun , Stefano Roddaro , Lucia Sorba , Fabio Beltram , Giorgio Biasiol

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

We study the quantum fluctuations of the two quadratures of the emitted electromagnetic radiation generated by a quantum Hall device in a quantum point contact geometry. In particular, we focus our attention on the role played by the…

Mesoscale and Nanoscale Physics · Physics 2021-06-11 G. Rebora , D. Ferraro , M. Sassetti

The equilibration between quantum Hall edge modes is known to depend on the disorder potential and the steepness of the edge. Modern samples with higher mobilities and setups with lower electron temperatures call for a further exploration…

Mesoscale and Nanoscale Physics · Physics 2022-02-08 G. Nicoli , C. Adam , M. P. Röösli , P. Märki , J. Scharnetzky , C. Reichl , W. Wegscheider , T. Ihn , K. Ensslin

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

We argue that, at any filling factor, correlated quantum-Hall systems possess a set of chiral boson excitations which are generated by electronically rigid deformations of the system's periphery. We submit that tunneling electrons can be…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 U. Zuelicke , A. H. MacDonald

We develop a simple kinetic equation description of edge state dynamics in the fractional quantum Hall effect (FQHE), which allows us to examine in detail equilibration processes between multiple edge modes. As in the integer quantum Hall…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

In this work, we address the recent experiment [S. Tewari et al., arXiv:1503.05057v1], where the suppression of phase coherence of a single-electron wave packet created at the edge of a quantum Hall (QH) system at filling factor 2 has been…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Artur O. Slobodeniuk , Edvin G. Idrisov , Eugene V. Sukhorukov
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