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We consider the influence of an external periodic potential on the fractional quantum Hall effect of two-dimensional interacting electron systems. For many electrons on a torus, we find that the splitting of incompressible ground state…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Daniela Pfannkuche , Allan H. MacDonald

In van der Waals bonded or rotationally disordered multilayer stacks of two-dimensional (2D) materials, the electronic states remain tightly confined within individual 2D layers. As a result, electron-phonon interactions occur primarily…

We report experiments on the energy structure of antidot-bound states. By measuring resonant tunneling line widths as function of temperature, we determine the coupling to the remote global gate voltage and find that the effects of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. J. Maasilta , V. J. Goldman

We analyze the conductance fluctuations observed in the quantum Hall regime for a bulk two-dimensional electron system in a Corbino geometry. We find that characteristics like the power spectral density and the temperature dependence agree…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Hohls , U. Zeitler , R. J. Haug

We investigate electron transport in two quantum circuits with mutual Coulomb interaction. The first circuit is a double quantum dot connected to two electron reservoirs, while the second one is a quantum point contact in the weak tunneling…

Mesoscale and Nanoscale Physics · Physics 2015-10-29 Robert Hussein , Sigmund Kohler

The point contact tunneling conductance between edges of the spin singlet $\nu=2/3,\hat{K}=(3/3/0)$ quantum Hall states is studied both in the quasiparticle tunneling picture and in the electron tunneling picture. Due to the interplay of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. C. Lee

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

Currently, molecular tunnel junctions are recognized as important active elements of various nanodevices. This gives a strong motivation to study physical mechanisms controlling electron transport through molecules. Electron motion through…

Mesoscale and Nanoscale Physics · Physics 2013-01-24 Natalya A. Zimbovskaya

Following the recent observation of the quantum spin Hall (QSH) effect in HgTe quantum wells, an important issue is to understand the effect of impurities on transport in the QSH regime. Using linear response and renormalization group…

Mesoscale and Nanoscale Physics · Physics 2009-06-26 Joseph Maciejko , Chaoxing Liu , Yuval Oreg , Xiao-Liang Qi , Congjun Wu , Shou-Cheng Zhang

We present a detailed theory of transport through line junctions formed by counterpropagating single-branch fractional-quantum-Hall edge channels having different filling factors. Intriguing transport properties are exhibited when strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke , E. Shimshoni

We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Nazarov , L. I. Glazman

We study the effects of disorder on the interlayer transport properties of disordered semiconductor bilayers outside of the quantum Hall regime by performing self-consistent quantum transport calculations. We find that the addition of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Youngseok Kim , Brian Dellabetta , Matthew J. Gilbert

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that irrespective of the interaction strength the Hall conductivity is given by the filling fraction of Landau levels averaged over…

Mesoscale and Nanoscale Physics · Physics 2020-01-20 Xi Wu , M. A. Zubkov

We study thermal conductance and thermopower of a metallic single-electron transistor beyond the limit of weak tunnel coupling. Employing both a systematic second-order perturbation expansion and a non-perturbative approximation scheme, we…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Björn Kubala , Jürgen König

We use a method of matched asymptotics to determine the energy gap of two counter-propagating, strongly interacting, quantum Hall edge states. The microscopic edge state dispersion and Coulomb interactions are used to precisely constrain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marcus Kollar , Subir Sachdev

Recent experiments have studied the tunneling current between the edges of a fractional quantum Hall liquid as a function of temperature and voltage. The results of the experiment are puzzling because at "high" temperature (600-900 mK) the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Giovanni Vignale , Roberto Raimondi

The power-law increase of the conductivity with temperature in the nominally insulating regime, recently reported for the dilute two-dimensional holes [cond-mat/0603053], is found to systematically vary with the carrier density. Based on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian Huang , D. S. Novikov , D. C. Tsui , L. N. Pfeiffer , K. W. West

We report transport measurements on a semiconductor quantum dot with a small number of confined electrons. In the Coulomb blockade regime, conduction is dominated by cotunneling processes. These can be either elastic or inelastic, depending…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. De Franceschi , S. Sasaki , J. M. Elzerman , W. G. van der Wiel , S. Tarucha , L. P. Kouwenhoven

We consider a model for an edge state of electronic systems in the quantum Hall regime with filling $\nu=1$ and in the quantum spin Hall regime. In both cases the system is in contact with two reservoirs by tunneling at point contacts. Both…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Liliana Arrachea , Eduardo Fradkin

We consider a quantum spin Hall system in a two-terminal setup, with an extended tunneling contact connecting upper and lower edges. We analyze the effects of this geometry on the backscattering current as a function of voltage,…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 G. Dolcetto , S. Barbarino , D. Ferraro , N. Magnoli , M. Sassetti
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