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We discuss the propagation and fractionalization of localized charges on the edges of quantum Hall bars of variable widths, where interactions between the edges give rise to Luttinger liquid behavior with a non-trivial interaction parameter…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Mats Horsdal , Marianne Rypestøl , Hans Hansson , Jon Magne Leinaas

We report measurements of the low frequency current fluctuations of a tunnel junction placed at very low temperature biased by a time-dependent voltage $V(t)=V(1+\cos 2\pi\nu t)$. We observe that the excess noise generated by the ac…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Gabriel Gasse , Lafe Spietz , Christian Lupien , Bertrand Reulet

We study non-equilibrium noise in the tunnelling current between the edges of a quantum Hall liquid in the Pfaffian state, which is a strong candidate for the plateau at $\nu=5/2$. To first non-vanishing order in perturbation theory (in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Cristina Bena , Chetan Nayak

The fluctuations in the spacing of the tunneling resonances through a quantum dot have been studied in the quantum Hall regime. Using the fact that the ground-state of the system is described very well by the Laughlin wavefunction, we were…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Elad Shopen , Yigal Meir

Extending the temperature limits of quantum coherence in the system representing a chain of coupled two-level systems (TLS) exposed to an electromagnetic field is complicated due to the adverse influence of noise. Such a system frequently…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Serhii Shafraniuk

Quantum Hall edge channels partition electric charge over N chiral (uni-directional) modes. Intermode scattering leads to partition noise, observed in graphene p-n junctions. While inelastic scattering suppresses this noise by averaging out…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 C. W. J. Beenakker

We present a new scheme to detect the quantum shot noise in coupled mesoscopic systems. By applying the noise thermometry to the capacitively coupled quantum point contacts (QPCs) we prove that the noise temperature of one QPC is in perfect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Masayuki Hashisaka , Yoshiaki Yamauchi , Shuji Nakamura , Shinya Kasai , Teruo Ono , Kensuke Kobayashi

We investigate the effect of interactions on shot noise in $\nu=2$ quantum Hall edges, where a repulsive coupling between co-propagating edge modes is expected to give rise to charge fractionalization. Using the method of non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Mirco Milletarì , Bernd Rosenow

Split-gate constrictions can be used to produce controllable scattering in a fractional quantum Hall state and constitute a very versatile model system for the investigation of non-Fermi physics in edge states. Controllable inter-edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram

We study the effects of long-range Coulomb interaction (LRCI) on the quantum transport in FQH edges with $\nu=1/(2k+1)$. We consider two models, i.e., the quasi-particle tunneling (QPT) model and the electron tunneling (ET) model at the…

Condensed Matter · Physics 2009-10-30 Ken-ichiro Imura , Naoto Nagaosa

The shot noise in a quantum ring, connected to leads, is studied in the presence of electron interactions in the sequential tunneling regime. Two qualitatively different noise correlations with distinctly different behaviors are identified…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 F. Cavaliere , F. Haupt , R. Fazio , M. Sassetti

We study non-equilibrium noise in Chiral Luttinger Liquids using the Landauer-Buttiker Scattering approach, obtaining the current/voltage noise spectrum for a four-terminal measurement scheme. Experimental consequences of the tunneling of…

Condensed Matter · Physics 2007-05-23 C. de C. Chamon , D. E. Freed , X. G. Wen

A fractional quasiparticle charge is a manifestation of strong interactions in the fractional quantum Hall effect. Nevertheless, shot noise of quasiparticles is well described by a formula, derived for noninteracting charges. We explain the…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 D. E. Feldman , M. Heiblum

In time-reversal invariant systems, all charge Hall effects predicted so far are extrinsic effects due to the dependence on the relaxation time. We explore intrinsic Hall signatures by studying quantum noise spectrum of the Hall current in…

Mesoscale and Nanoscale Physics · Physics 2023-01-30 Miaomiao Wei , Luyang Wang , Bin Wang , Longjun Xiang , Fuming Xu , Baigeng Wang , Jian Wang

We have investigated the noise properties of the tunneling current through vertically coupled self-assembled InAs quantum dots. We observe super-Poissonian shot noise at low temperatures. For increased temperature this effect is suppressed.…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 P. Barthold , F. Hohls , N. Maire , K. Pierz , R. J. Haug

The shot noise of current through a metallic double quantum dot structure exhibiting negative differential conductance is studied. We can exactly solve the master equation and derive an analytical expression of the spectral density of…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 V. Hung Nguyen , V. Lien Nguyen , Philippe Dollfus

The statistics of electron transport in a quantum conductor is affected by fluctuations of its voltage bias. Here we show experimentally how a third order correlation in the electromagnetic field arises from the noise of a tunnel junction…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Clovis Farley , Edouard Pinsolle , Bertrand Reulet

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

The quest for non-Abelian quasiparticles has inspired decades of experimental and theoretical efforts, where the scarcity of direct probes poses a key challenge. Among their clearest signatures is a thermal Hall conductance with quantized…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 I. C. Fulga , Yuval Oreg , Alexander D. Mirlin , Ady Stern , David F. Mross

We analytically compute the thermal Hall conductance (THC) of fractional quantum Hall droplets under realistic conditions that go beyond the idealized linear edge theory with conformal symmetry. Specifically, we consider finite-size effects…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Fei Tan , Yuzhu Wang , Xinghao Wang , Bo Yang
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