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Motivated by recent experiments on the conductance fluctuations in mesoscopic integr quantum Hall systems, we consider a model in which the Coulomb interactions are incorporated into the picture of edge-state transport through a single…

介观与纳米尺度物理 · 物理学 2009-10-31 C. -M. Ho

We investigate integer and fractional quantum Hall states in quantum point contacts (QPCs) of different geometries, defined in AlGaAs/GaAs heterostructures employing different doping and screening techniques. We find that, even in the…

介观与纳米尺度物理 · 物理学 2014-03-11 S. Baer , C. Rössler , E. C. de Wiljes , P. -L. Ardelt , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

Quantum point contacts (QPC) are fundamental building blocks of nanoelectronic circuits. For their emission dynamics as well as for interaction effects such as the 0.7-anomaly the details of the electrostatic potential are important, but…

介观与纳米尺度物理 · 物理学 2020-09-21 Max Geier , Jaan Freudenfeld , Jorge T. Silva , Vladimir Umansky , Dirk Reuter , Andreas D. Wieck , Piet W. Brouwer , Stefan Ludwig

The unique properties of quantum Hall devices arise from the ideal one-dimensional edge states that form in a two-dimensional electron system at high magnetic field. Tunnelling between edge states across a quantum point contact (QPC) has…

介观与纳米尺度物理 · 物理学 2013-05-10 F. Martins , S. Faniel , B. Rosenow , H. Sellier , S. Huant , M. G. Pala , L. Desplanque , X. Wallart , V. Bayot , B. Hackens

We study quantum spin Hall insulators with local Coulomb interactions in the presence of boundaries using dynamical mean field theory. We investigate the different influence of the Coulomb interaction on the bulk and the edge states.…

强关联电子 · 物理学 2017-05-17 A. Amaricci , G. Sangiovanni , L. Privitera , F. Petocchi , M. Capone , B. Trauzettel

We measure the conductance of a quantum point contact (QPC) while the biased tip of a scanning probe microscope induces a depleted region in the electron gas underneath. At finite magnetic field we find plateaus in the real-space maps of…

介观与纳米尺度物理 · 物理学 2014-03-17 Nikola Pascher , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

The localization properties of electron states in the quantum Hall regime are reviewed. The random Landau model, the random matrix model, the tight-binding Peierls model, and the network model of Chalker and Coddington are introduced.…

介观与纳米尺度物理 · 物理学 2015-06-24 Bernhard Kramer , Stefan Kettemann , Tomi Ohtsuki

In this work, we calculate the current distribution, in the close vicinity of the quantum point contacts (QPCs), taking into account the Coulomb interaction. In the first step, we calculate the bare confinement potential of a generic QPC…

介观与纳米尺度物理 · 物理学 2009-11-13 A. Siddiki , E. Cicek , D. Eksi , A. I. Mese , S. Aktas , T. Hakioglu

We study theoretically a quantum dot in the quantum Hall regime that is strongly coupled to a single lead via a point contact. We find that even when the transmission through the point contact is perfect, important features of the Coulomb…

凝聚态物理 · 物理学 2009-10-28 Hangmo Yi , C. L. Kane

We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of…

介观与纳米尺度物理 · 物理学 2013-05-30 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We investigate the localization of electronic states in the integer quantum Hall effect using a magnetic localization landscape (MLL) approach. By studying a continuum Schr\"odinger model with disordered electrostatic potential, we…

介观与纳米尺度物理 · 物理学 2025-10-07 Alioune Seye , Marcel Filoche

We investigate the effect of local Coulomb correlations on electronic transport through a variety of coupled quantum dot systems connected to Fermi liquid leads. We use a newly developed functional renormalization group scheme to compute…

介观与纳米尺度物理 · 物理学 2007-05-23 C. Karrasch , T. Enss , V. Meden

The $\nu = 2/3$ fractional quantum Hall state is the hole-conjugate state to the primary Laughlin $\nu = 1/3$ state. We investigate transmission of edge states through quantum point contacts fabricated on a GaAs/AlGaAs heterostructure…

介观与纳米尺度物理 · 物理学 2023-03-01 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

介观与纳米尺度物理 · 物理学 2009-11-07 Mikio Eto

We study transport across a point contact separating two line junctions in a \nu = 5/2 quantum Hall system. We analyze the effect of inter-edge Coulomb interactions between the chiral bosonic edge modes of the half-filled Landau level…

介观与纳米尺度物理 · 物理学 2015-05-13 Sourin Das , Sumathi Rao , Diptiman Sen

We develop a theory of edge state transport in separately contacted double-layer quantum Hall systems which are tuned close to the resonance condition for tunneling between the layers. When applied to the case where contact is made to only…

凝聚态物理 · 物理学 2009-10-28 D. Yoshioka , A. H. MacDonald

Interfacing s-wave superconductors and quantum spin Hall edges produces time-reversal-invariant topological superconductivity of a type that can not arise in strictly 1D systems. With the aim of establishing sharp fingerprints of this novel…

介观与纳米尺度物理 · 物理学 2016-10-13 David Aasen , Shu-Ping Lee , Torsten Karzig , Jason Alicea

Coupled quantum Hall edge channels show intriguing non-trivial modes, for example, charge and neutral modes at Landau level filling factors 2 and 2/3. We propose an appropriate and effective model with Coulomb interaction and…

介观与纳米尺度物理 · 物理学 2021-08-10 Toshimasa Fujisawa , Chaojing Lin

We present studies of the Coulomb blockade and Kondo regimes of transport through a quantum dot connected to current leads through spin-polarizing quantum point contacts (QPCs). This structure, arising from the effect of lateral spin-orbit…

强关联电子 · 物理学 2010-12-21 Anh T. Ngo , Edson Vernek , Sergio E. Ulloa

Quantum point contacts (QPC) are a key instrument in investigating the physics of edge excitations in the quantum Hall effect. However, at not-so-high bias voltage values, the predictions of the conventional point QPC model often deviate…

介观与纳米尺度物理 · 物理学 2025-12-11 Prasoon Kumar , Kyrylo Snizhko
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