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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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Siddiki , E. Cicek , D. Eksi , A. I. Mese , S. Aktas , T. Hakioglu

The electron and current density distributions in the close proximity of quantum point contacts (QPCs) are investigated. A three dimensional Poisson equation is solved self-consistently to obtain the electron density and potential profile…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Arslan , E. Cicek , D. Eksi , S. Aktas , A. Weichselbaum , A. Siddiki

In this work we implement the self-consistent Thomas-Fermi-Poisson approach to a homogeneous two dimensional electron system (2DES). We compute the electrostatic potential produced inside a semiconductor structure by a quantum-point-contact…

Mesoscale and Nanoscale Physics · Physics 2010-04-12 A. Siddiki F. Marquardt

In a recent experiment, the local current distribution of a two-dimensional electron gas in the quantum Hall regime was probed by measuring the variation of the conductance due to local gating. The main experimental finding was the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Dubi , Y. Meir , Y. Avishai

We present the essential findings of the screening theory of the integer quantum Hall effect (IQHE) considering a quantum point contact (QPC). Our approach is to solve the Poisson and the Schroedinger equations self-consistently, taking…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. Siddiki

In this work, we calculate the electron and the current density distributions both at the edges and the bulk of a two dimensional electron system, focusing on ideal and non-ideal contacts. A three dimensional Poisson equation is solved…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 D. Eksi , O. Kilicoglu , O. Goektas , A. Siddiki

Recent spatially resolved measurements of the electrostatic-potential variation across a Hall bar in strong magnetic fields, which revealed a clear correlation between current-carrying strips and incompressible strips expected near the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Kaan Guven , Rolf R. Gerhardts

In the context of fast developing quantum technologies, locating single quantum objects embedded in solid or fluid environment while keeping their properties unchanged is a crucial requirement as well as a challenge. Such "quantum…

We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potential that varies slowly on the scale of the magnetic length…

Condensed Matter · Physics 2009-10-22 Michael R. Geller , Giovanni Vignale

We use the scattering matrix approach to derive generalized Bardeen-like formulae for the conductances between the contacts of a phase-coherent multiprobe conductor and a tunneling tip which probes its surface. These conductances are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Gramespacher , Markus Buttiker

We consider a current-carrying, phase-coherent multi-probe conductor to which a small tunneling contact is attached. We treat the conductor and the tunneling contact as a phase-coherent entity and use a Green's function formulation of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Gramespacher , Markus Buttiker

We consider a model for stationary electronic transport through a one-dimensional chain of two leads attached to a perturbed central region (quantum dot) in the regime where the theory proposed recently by Capek for a similar model of…

Statistical Mechanics · Physics 2009-11-07 Tomas Novotny

In this work we put forward an exact one-particle framework to study nano-scale Josephson junctions out of equilibrium and propose a propagation scheme to calculate the time-dependent current in response to an external applied bias. Using a…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Gianluca Stefanucci , Enrico Perfetto , Michele Cini

We have obtained the universal conductance distribution of two-dimensional disordered systems in the strongly localized limit. This distribution is directly related to the Tracy-Widom distribution, which has recently appeared in many…

Mesoscale and Nanoscale Physics · Physics 2009-06-24 J. Prior , A. M. Somoza , M. Ortuno

In this work we solve thermo-hydrodynamical equations considering a two dimensional electron system in the integer quantum Hall regime, to calculate the spatial distribution of the local electron temperature. We start from the…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 N. Boz Yurdaşan , K. Akgüngör , A. Siddiki , İ. Sökmen

Full distributions of conductance through quantum dots with single-mode leads are reported for both broken and unbroken time-reversal symmetry. Distributions are nongaussian and agree well with random matrix theory calculations that account…

Mesoscale and Nanoscale Physics · Physics 2012-08-27 A. G. Huibers , S. R. Patel , C. M. Marcus , P. W. Brouwer , C. I. Duruoz , J. S. Harris,

Resonant tunneling in an open mesoscopic quantum dot is proposed as a vehicle to realize a tunable Fermi-edge resonance with variable coupling strength. We solve the x-ray edge problem for a generic nonseparable scatterer and apply it to…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 D. A. Abanin , L. S. Levitov

This paper has been withdrawn by the authors. The 3D distribution of self-assembled stacked quantum dots (QDs) is a key parameter to obtain the highest performance in a variety of optoelectronic devices. In this work, we have measured this…

Materials Science · Physics 2012-10-25 Jesús Hernández-Saz , Miriam Herrera , Diego Alonso-Álvarez , Sergio I. Molina

The quantum confinement effect on the spectrum of near-field thermal radiation by periodic and random arrays of quantum dots (QDs) is investigated. The local density of states (LDOS) thermally emitted by QD arrays made of three lead…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Saman Zare , Sheila Edalatpour

We apply the non-equilibrium functional renormalization group approach treating flow of the electronic self-energies, to describe local magnetic moments formation and electronic transport in a quadruple quantum dot (QQD) ring, coupled to…

Strongly Correlated Electrons · Physics 2019-04-17 V. S. Protsenko , A. A. Katanin
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