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In this work we theoretically study properties of electric current driven by a temperature gradient through a quantum dot/molecule coupled to the source and drain charge reservoirs. We analyze the effect of Coulomb interactions between…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Natalya A. Zimbovskaya

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

We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Sora Cho , Matthew P. A. Fisher

We consider an interacting quantum dot connected to two reservoirs driven at distinct voltage/temperature and we study the correlations between charge and heat currents first as a function of the applied voltage bias, and second as a…

Mesoscale and Nanoscale Physics · Physics 2015-10-05 Adeline Crépieux , Paul Eyméoud , Fabienne Michelini

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function…

Strongly Correlated Electrons · Physics 2012-09-12 D. L. Kovrizhin , J. T. Chalker

We present recent experimental results confirming previously predicted strong asymmetries of the current distribution in narrow Hall bars under the conditions of the integer quantum Hall effect (IQHE). Using a previously developed…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Rolf R. Gerhardts , Konstantinos Panos , Jürgen Weis

We investigate experimentally the influence of current flow through two independent quantum point contacts to a nearby double quantum dot realized in a GaAs-AlGaAs heterostructure. The observed current through the double quantum dot can be…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 U. Gasser , S. Gustavsson , B. Küng , K. Ensslin , T. Ihn , D. C. Driscoll , A. C. Gossard

Our study presents experimental measurements of the contact and longitudinal voltage drops in Hall bars, as a function of the current amplitude. We are interested in the heating phenomenon which takes place before the breakdown of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. M. Meziani , C. Chaubet , B. Jouault , S. Bonifacie , A. Raymond , W. Poirier , F. Piquemal

This paper reports on an experimental study of the contact resistance of Hall bars in the Quantum Hall Effect regime while increasing the current through the sample. These measurements involve also the longitudinal resistance and they have…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. M. Meziani , C. Chaubet , S. Bonifacie , B. Jouault , A. Raymond , W. Poirier , F. Piquemal

We have performed low-temperature transport measurements on a disordered two-dimensional electron system (2DES). Features of the strong localization leading to the quantum Hall effect are observed after the 2DES undergoes a direct…

We investigate the energy exchanges along an electronic quantum channel realized in the integer quantum Hall regime at filling factor $\nu_L=2$. One of the two edge channels is driven out-of-equilibrium and the resulting electronic energy…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 H. le Sueur , C. Altimiras , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

Advances in fabrication and control of quantum dots allow the realization of metastructures that may exhibit novel electrical transport phenomena. Here, we investigate the electrical current passing through one such metastructure, a system…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Chen-Yen Lai , Massimiliano Di Ventra , Michael Scheibner , Chih-Chun Chien

Using high quality graphene pnp junctions, we observe prominent conductance fluctuations on transitions between quantum Hall (QH) plateaus as the top gate voltage Vtg is varied. In the Vtg-B plane, the fluctuations form crisscrossing lines…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jairo Velasco , Gang Liu , Lei Jing , Philip Kratz , Wenzhong Bao , Marc Bockrath , Chun Ning Lau

In this work, we theoretically study the heat flow between two $1+1$d chiral gapless systems connected by a point contact. With a small temperature gradient between the two, we find that the ratio between fluctuations of the heat current…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Hiromi Ebisu , Noam Schiller , Yuval Oreg

Based on very general arguments we show that for any geometry of the experiment, in the regime when the measurement leads to a quantized Hall conductivity, almost the entire current injected into the sample is carried by the bulk states.…

Condensed Matter · Physics 2007-05-23 K. Tsemekhman , V. Tsemekhman , C. Wexler , D. J. Thouless

We consider the dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect. Using perturbation theory, we show that this rate has an anomalous dependence on the bias…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thi Kim Thanh Nguyen , Adeline Crepieux , Thibaut Jonckheere , Ai Viet Nguyen , Yeoshua Levinson , Thierry Martin

We study numerically the charge conductance distributions of disordered quantum spin-Hall (QSH) systems using a quantum network model. We have found that the conductance distribution at the metal-QSH insulator transition is clearly…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 K. Kobayashi , T. Ohtsuki , H. Obuse , K. Slevin

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

The current distribution is studied for a finite-width two-dimensional system of Hall electrons, with a clear distinction drawn between the equilibrium edge current and the Hall current. It is pointed out that both the distribution and…

Condensed Matter · Physics 2009-10-28 K. Shizuya

Electrical and thermal conductances of a quantum Hall bar reflect the topological structure of the incompressible bulk phase. Here we show that noise of electrical current carried through the edge evidences the interplay between these two…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Jinhong Park , Alexander D. Mirlin , Bernd Rosenow , Yuval Gefen