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The analog of two seminal quantum optics experiments are considered in a condensed matter setting with single electron sources injecting electronic wave packets on edge states coupled through a quantum point contact. When only one electron…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 D. Ferraro , T. Jonckheere , J. Rech , T. Martin

The nonequilibrium real-time dynamics of electron coherence is explored in the quantum transport through the double-dot Aharonov-Bohm interferometers. We solve the exact master equation to find the exact quantum state of the device, from…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 Matisse Wei-Yuan Tu , Wei-Min Zhang , Jinshuang Jin

We consider a mesoscopic circuit in the quantum Hall effect regime comprising two synchronized single-particle sources emitting particles into a Mach-Zehnder interferometer. While particles from one source can possibly interfere at the…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Stefan Juergens , Janine Splettstoesser , Michael Moskalets

We present an experiment where we tune the decoherence in a quantum interferometer using one of the simplest object available in the physic of quantum conductors : an ohmic contact. For that purpose, we designed an electronic Mach-Zehnder…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 P. Roulleau , F. Portier , P. Roche , A. Cavanna , G. Faini , U. Gennser , D. Mailly

We investigate the Hall effect in two different theoretical models of strongly correlated systems: a system made of weakly coupled Luttinger liquids, in the presence of umklapp scattering, and the 2D triangular lattice, with…

Strongly Correlated Electrons · Physics 2008-12-11 Gladys León

We propose a device for studying the Fermi-Hubbard model with long-range Coulomb interactions using an array of quantum dots defined in a semiconductor two-dimensional electron gas system. Bands with energies above the lowest energy band…

Quantum Physics · Physics 2009-11-13 Tim Byrnes , Na Young Kim , Kenichiro Kusudo , Yoshihisa Yamamoto

We study non-Abelian fractional quantum Hall state in double layer systems at total filling factor $1/2$. Recent progresses in two-dimensional van der Waals materials made it possible to explore the regime with very small interlayer…

Strongly Correlated Electrons · Physics 2025-02-24 Xiang-Jian Hou , Lei Wang , Ying-Hai Wu

Several states were proposed as candidates for the $\nu=5/2$ quantum Hall plateau. We suggest an experiment which can determine the physical state. The proposal involves transport measurements in the geometry with three quantum Hall edges…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. E. Feldman , Feifei Li

The statistics of tunneling current in a fractional quantum Hall sample with an antidot is studied in the chiral Luttinger liquid picture of edge states. A comparison between Fano factor and skewness is proposed in order to clearly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Braggio , N. Magnoli , M. Merlo , M. Sassetti

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko

The quantum anomalous Hall effect in magnetic topological insulators has been recognized as a promising platform for applications in quantum metrology. The primary reason for this is the electronic conductance quantization at zero external…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Kajetan M. Fijalkowski , Nan Liu , Martin Klement , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

We develop a theoretical description of interaction-induced phenomena in an electronic Mach-Zehnder interferometer formed by integer quantum Hall edge states (with \nu =1 and 2 channels) out of equilibrium. Using the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Martin Schneider , Dmitry A. Bagrets , Alexander D. Mirlin

Graphene matter in a strong magnetic field, realizing one-dimensional quantum Hall channels, provides a unique platform for studying electron interference. Here, using the Landauer-B\"uttiker formalism along with the tight-binding model, we…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 M. Mirzakhani , N. Myoung , F. M. Peeters , H. C. Park

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

Electrons living in a two-dimensional world under a strong magnetic field - the so-called fractional quantum Hall effect (FQHE) - often manifest themselves as fractionally charged quasiparticles (anyons). Moreover, being under special…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Bhattacharyya , Mitali Banerjee , Moty Heiblum , Diana Mahalu , Vladimir Umansky

Free fermion systems enjoy a privileged place in physics. With their simple structure they can explain a variety of effects, ranging from insulating and metallic behaviours to superconductivity and the integer quantum Hall effect.…

Quantum Physics · Physics 2018-09-28 Jiannis K. Pachos , Zlatko Papić

We show how a new quantum property, a geometric phase, associated with scattering states can be exhibited in nanoscale electronic devices. We propose an experiment to use interference to directly measure the effect of the new geometric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Huan-Qiang Zhou , Urban Lundin , Sam Young Cho , Ross H. McKenzie

The fractional quantum Hall effect, where plateaus in the Hall resistance at values of coexist with zeros in the longitudinal resistance, results from electron correlations in two dimensions under a strong magnetic field. Current flows…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Dolev , M. Heiblum , V. Umansky , Ady Stern , D. Mahalu

We develop a theory of indirect measurements where a probe is able to read, in short interaction times, the quantum state of a remote system through an incoherent wall. The probe and the system can interact with an ancilla in an incoherent…

Quantum Physics · Physics 2015-05-14 J. Casanova , G. Romero , I. Lizuain , J. C. Retamal , C. F. Roos , J. G. Muga , E. Solano