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Related papers: Dephasing due to a fluctuating fractional quantum …

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We analyze the critical behavior of the dephasing rate induced by short-range electron-electron interaction near an Anderson transition of metal-insulator or quantum Hall type. The corresponding exponent characterizes the scaling of the…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 I. S. Burmistrov , S. Bera , F. Evers , I. V. Gornyi , A. D. Mirlin

Using the appropriate fractionalization mechanism, we correctly derive the temperature (T) and interaction dependence of the electron lifetime $\tau_F$ in Luttinger liquids. For strong enough interactions, we report that $(T\tau_F)\propto…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Karyn Le Hur

We consider transport in the Poissonian regime between edge states in the quantum Hall effect. The backscattering potential is assumed to be arbitrary, as it allows for multiple tunneling paths. We show that the Schottky relation between…

Mesoscale and Nanoscale Physics · Physics 2010-11-18 Denis Chevallier , Jérôme Rech , Thibaut Jonckheere , Claire Wahl , Thierry Martin

The first-principle theory of electron dephasing by disorder-induced two state fluctuators is developed. There exist two mechanisms of dephasing. First, dephasing occurs due to direct transitions between the defect levels caused by…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. V. Afonin , J. Bergli , Y. M. Galperin , V. L. Gurevich , V. I. Kozub

In recent years, counter-intuitive results have shown that the quantum Hall edge states with topological protection can be dissipative. In this paper, we point out that the non-equilibrium nature of edge states in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Peng-Yi Liu , Qing-Feng Sun

Hall and diagonal resistances of bilayer fractional quantum Hall systems are discussed theoretically. The bilayers have electrodes attached separately to each layer. They are assumed to be coupled weakly by interlayer tunneling, while the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daijiro Yoshioka , Kentaro Nomura

A quantum kinetic theory is used to compute excitation induced dephasing in semiconductor quantum dots due to the Coulomb interaction with a continuum of states, such as a quantum well or a wetting layer. It is shown that a frequency…

Materials Science · Physics 2009-11-10 H. C. Schneider , W. W. Chow , S. W. Koch

We consider the behaviour of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low energy, large system limit. Using the close links between quantum Hall wavefunctions and conformal field theories we construct…

Strongly Correlated Electrons · Physics 2018-11-07 Richard Fern , Roberto Bondesan , Steven H. Simon

Electronic quantum effects in disordered conductors are controlled by the dephasing rate of conduction electrons. This rate is expected to vanish with the temperature. We consider the very intriguing recently reported apparent saturation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yoseph Imry , Hidetoshi Fukuyama , Peter Schwab

We study the photoassisted shot noise generated by a periodic voltage in the fractional quantum Hall regime. Fluctuations of the current are due to the presence of a quantum point contact operating in the weak backscattering regime. We show…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Luca Vannucci , Flavio Ronetti , Dario Ferraro , Jérôme Rech , Thibaut Jonckheere , Thierry Martin , Maura Sassetti

Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the…

Condensed Matter · Physics 2009-10-31 Ken-Ichiro Imura

We derive, from first principles, the complete Luttinger liquid theory of abelian quantum Hall edge states. This theory includes the effects of disorder and Coulomb interactions as well as the coupling to external electromagnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Skoric , A. M. M. Pruisken

We analyze dephasing in single and double quantum dot systems. The decoherence is introduced by the B\"{u}ttiker model with current conserving fictitious voltage leads connected to the dots. By using the non-equilibrium Green function…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Junren Shi , Zhongshui Ma , X. C. Xie

When the quantum Hall effect occurs in a two-dimensional electron gas, all low-energy elementary excitations are localized near the system edge. The edge acts in many ways like a one-dimensional ring of electrons, except that a finite…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald

We calculate the counting statistics of electron transfer through an open quantum dot with charging interaction. A dot that is connected to leads by two single-channel quantum point contacts in an in-plane magnetic field is described by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Markus Kindermann , Bjoern Trauzettel

A giant level shift, resulted from the interaction of an electron in a spherical quantum dot with zero--point oscillations of confined modes of the electric field, is divulged. The energy correction depends on the dot radius. This size…

Materials Science · Physics 2007-05-23 Slava V. Rotkin

We compute the high-frequency emission and absorption noise in a fractional quantum Hall effect (FQHE) sample at arbitrary temperature. We model the edges of the FQHE as chiral Luttinger liquids (LL) and we use the non-equilibrium…

Strongly Correlated Electrons · Physics 2009-11-13 Cristina Bena , Ines Safi

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

In the weak backscattering limit, point contact tunneling between quantum Hall edges is well described by a Poissonian process where Laughlin quasiparticles tunnel independently, leading to the unambiguous measurement of their fractional…

Condensed Matter · Physics 2009-10-31 H. Saleur , U. Weiss

The fractional quantum Hall effect (FQHE) stands as a quintessential manifestation of an interacting two-dimensional electron system. One of FQHE's most fundamental characteristics is the energy gap separating the incompressible ground…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan