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The conductance through a finite quantum dot network is studied as a function of inter-dot coupling. As the coupling is reduced, the system undergoes a transition from the antidot regime to the tight binding limit, where Coulomb resonances…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 August Dorn , Thomas Ihn , Klaus Ensslin , Werner Wegscheider , Max Bichler

We consider mesoscopic fluctuations of the Coulomb drag coefficient $\rho_D$ in the system of two separated two-dimensional electron gases. It is shown that at low temperatures sample to sample fluctuations of $\rho_D$ exceed its ensemble…

Condensed Matter · Physics 2009-10-31 B. N. Narozhny , I. L. Aleiner

The quantum Hall effect arises from the interplay between localized and extended states that form when electrons, confined to two dimensions, are subject to a perpendicular magnetic field. The effect involves exact quantization of all the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Ilani , J. Martin , E. Teitelbaum , J. H. Smet , D. Mahalu , V. Umansky , A. Yacoby

The universal conductance fluctuations of quasi-two-dimensional systems are analyzed with experimental considerations in mind. The traditional statistical metrics of these fluctuations (such as variance) are shown to have large statistical…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 M. B. Lundeberg , J. Renard , J. A. Folk

We theoretically investigate quantum fluctuation of charge between even and odd states of a normal-superconducting-normal single-electron tunneling transistor. It is shown that due to the superconducting gap, the charge fluctuation in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yasuhiro Utsumi , Hiroshi Imamura , Masahiko Hayashi , Hiromichi Ebisawa

We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts model. The systems are studied numerically through intensive…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Pierre Emmanuel Berche , Bertrand Berche

We systematically investigate electron transport through double quantum dots with particular emphasis on interference induced via multiple paths of electron propagation. By means of the slave-boson mean-field approximation, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Tanaka , Norio Kawakami

We investigate theoretically the energy exchange between electrons of two co-propagating, out-of-equilibrium edge states with opposite spin polarization in the integer quantum Hall regime. A quantum dot tunnel-coupled to one of the edge…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Anders Mathias Lunde , Simon E. Nigg

In this work we show how to calculate the equilibrium and non-equilibrium charge fluctuations in a gated normal mesoscopic conductor which is attached to one normal lead and one superconducting lead. We then consider an example where the…

Superconductivity · Physics 2009-10-31 Andrew M. Martin , Thomas Gramespacher , Markus Buttiker

The Kondo effect and the Fano-Kondo effect are important phenomena that have been observed in quantum dots (QDs). We theoretically investigate the transport properties of a coupled QD system in order to study the possibility of detecting a…

Strongly Correlated Electrons · Physics 2013-05-09 Tetsufumi Tanamoto , Yu-xi Liu , Xuedong Hu , Franco Nori

Tunnel transport of interacting spin-polarized electrons through a single-level vibrating quantum dot in external magnetic field is studied. By using density matrix method, the current-voltage characteristics and the dependence of…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 A. D. Shkop , O. M. Bahrova , S. I. Kulinich , I. V. Krive

We consider a two-dimensional electron system subjected to a short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. The path-integral approach incorporated within the Keldysh formalism is used to…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Maxim Dzero , Alex Levchenko

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

We analyze electron transport through relatively short coherent conductors in the presence of Coulomb interaction. We evaluate the current-voltage characteristics of such conductors taking into account the effect of an external environment.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. D. Zaikin , D. S. Golubev

We study effects of Coulomb interactions between localised states in a potential barrier by measuring resonant-tunneling spectra with a small bias applied along the barrier. In the ohmic regime the conductance of 0.2um--gate lateral GaAs…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. V. Kuznetsov , A. K. Savchenko , D. R. Mace , E. H. Linfield , D. A. Ritchie

Coupled systems in mesoscopic regime are of interest as charge fluctuation between the sub-systems will depend on electron-electron interactions and will play a dominant role in determining their thermodynamic properties. We study some…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 P. Singha Deo , P. Koskinen , M. Manninen

A theory of transport in the quantum Hall regime is developed for separately contacted double-layer electron systems. Inter-layer tunneling provides a channel for equilibration of the distribution functions in the two layers and influences…

Condensed Matter · Physics 2015-06-25 D. Yoshioka , A. H. MacDonald

Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $\sigma_{xy}$ is given by a…

Condensed Matter · Physics 2007-05-23 Yasuhiro Hatsugai

Quantum gates that temporarily increase singlet-triplet splitting in order to swap electronic spins in coupled quantum dots, lead inevitably to a finite double-occupancy probability for both dots. By solving the time-dependent Schr\"odinger…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John Schliemann , Daniel Loss , A. H. MacDonald

The local density of states of a degenerate semiconductor is investigated at low magnetic fields. In order to realize this experiment, we designed a strongly asymmetric double-barrier heterostructure with heavily doped contacts and study…

Condensed Matter · Physics 2009-10-28 T. Schmidt , R. J. Haug , V. I. Fal'ko , K. v. Klitzing , A. Foerster , H. Lueth