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We study the interaction between two adjacent but electrically isolated quantum point contacts (QPCs). At high enough source-drain bias on one QPC, the drive QPC, we detect a finite electric current in the second, unbiased, detector QPC.…

Mesoscale and Nanoscale Physics · Physics 2007-09-03 V. S. Khrapai , S. Ludwig , J. P. Kotthaus , H. P. Tranitz , W. Wegscheider

Coulomb interactions have a major role in one-dimensional electronic transport. They modify the nature of the elementary excitations from Landau quasiparticles in higher dimensions to collective excitations in one dimension. Here we report…

Mesoscale and Nanoscale Physics · Physics 2013-09-24 E. Bocquillon , V. Freulon , J. -M. Berroir , P. Degiovanni , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

The structure of edge modes at the boundary of quantum Hall (QH) phases forms the basis for understanding low energy transport properties. In particular, the presence of ``upstream'' modes, moving against the direction of charge current…

Negative differential conductivity (NDC) is a widely exploited effect in modern electronic components. Here, a proof-of-principle is given for the observation of NDC in a quantum transport device for neutral atoms employing a multi-mode…

Quantum Gases · Physics 2017-08-24 Ralf Labouvie , Bodhaditya Santra , Simon Heun , Sandro Wimberger , Herwig Ott

Nonlinear transport phenomena in condensed matter reflect the geometric nature, quantum coherence, and many-body correlation of electronic states. Electric currents in solids are classified into (i) Ohmic current, (ii) supercurrent, and…

Mesoscale and Nanoscale Physics · Physics 2024-11-01 Hiroki Isobe , Naoto Nagaosa

Fractional charges of anyons can be extracted from shot noise in two ways. One can use either the auto-correlation noise of the current in one drain or the cross-correlation noise between two drains on the two sides of the device. The…

Mesoscale and Nanoscale Physics · Physics 2024-05-31 Navketan Batra , D. E. Feldman

It is well established that 'density reconstruction' at the edge of a two dimensional electron gas takes place for 'hole-conjugate' states in the fractional quantum Hall effect (such as ${\nu}=2/3, 3/5,$ etc.). Such reconstruction leads,…

Mesoscale and Nanoscale Physics · Physics 2015-01-13 Anna Grivnin , Hiroyuki Inoue , Yuval Ronen , Yuval Baum , Moty Heiblum , Vladimir Umansky , Diana Mahalu

A periodically driven quantum Hall system in a fixed magnetic field is found to exhibit a series of phases featuring anomalous edge modes with the "wrong" chirality. This leads to pairs of counter-propagating chiral edge modes at each edge,…

Quantum Gases · Physics 2014-01-17 Mahmoud Lababidi , Indubala I. Satija , Erhai Zhao

Constrictions in fractional quantum Hall (FQH) systems not only facilitate backscattering between counter-propagating edge modes, but also may reduce the constriction filling fraction $\nu_c$ with respect to the bulk filling fraction…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernd Rosenow , Bertrand I. Halperin

The recent, unexpected, findings of upstream neutral modes in particle-like fractional quantum Hall states, led to a realization that the nature of the neutral modes is far from being understood. Moreover, the observation of spatially…

We consider the edge of a two-dimensional electron system that is in the quantum-Hall-effect regime at filling factor 1-1/m with m being an odd integer, where microscopic theory explaining the occurrence of the quantum Hall effect in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , A. H. MacDonald , M. D. Johnson

We study the effects of impurity scattering on the low energy edge state dynamic s for a broad class of quantum Hall fluids at filling factor $\nu =n/(np+1)$, for integer $n$ and even integer $p$. When $p$ is positive all $n$ of the edge…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher

Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher , J. Polchinski

The chiral topological superconductor, which supports propagating nontrivial edge modes while maintaining a gapped bulk, can be realized hybridizing a quantum-anomalous-Hall thin slab with an ordinary $s$-wave superconductor. We show that…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Daniele Di Miceli , Llorenç Serra

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

We revisit the physics of hole-conjugate Fractional Quantum Hall (FQH) phases characterized by counter-propagating edge channels at filling factors above 1/2. We propose a minimal and intuitive model that successfully accounts for all…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 D. Christian Glattli , Charles Boudet , Avirup De , Preden Roulleau

We investigate the coupling between quantum Hall (QH) edge channels (ECs) located at opposite sides of a 50-um-wide Hall bar by exciting a charged wavepacket in one EC and detecting time-dependent current in the other EC. In a QH state, the…

Strongly Correlated Electrons · Physics 2018-12-05 Ngoc Han Tu , Masayuki Hashisaka , Takeshi Ota , Yoshiaki Sekine , Koji Muraki , Toshimasa Fujisawa , Norio Kumada

We predict a new class of quantum Hall phenomena in completely neutral systems, demonstrating that the interplay between radial electric fields and dipole moments induces exact $e^2/h$ quantization without the need for Landau levels or…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Edilberto O. Silva

Ideally, quantum anomalous Hall systems should display zero longitudinal resistance. Yet in experimental quantum anomalous Hall systems elevated temperature can make the longitudinal resistance finite, indicating dissipative flow of…

Dynamics of neutral modes for fractional quantum Hall states is investigated for a quantum point contact geometry in the weak-backscattering regime. The effective field theory introduced by Fradkin-Lopez for edge states in the Jain sequence…

Strongly Correlated Electrons · Physics 2010-01-19 Dario Ferraro , Alessandro Braggio , Nicodemo Magnoli , Maura Sassetti