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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 at the edge…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Daijiro Yoshioka

The resonant tunneling model is the simplest model for describing electronic transport through nanoscale objects like individual molecules. A complete understanding includes not only charge transport but also thermal transport and their…

Mesoscale and Nanoscale Physics · Physics 2021-01-25 Matthias A. Popp , André Erpenbeck , Heiko B. Weber

Double layer two-dimensional electron systems at high perpendicular magnetic field are used to realize magnetic tunnel junctions in which the electrons at the Fermi level in the two layers have either parallel or anti-parallel spin…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The temperature dependence of conductivity $\sigma (T)$ of a two-dimensional electron system in silicon has been studied in parallel magnetic fields B. At B=0, the system displays a metal-insulator transition at a critical electron density…

Strongly Correlated Electrons · Physics 2009-11-07 Kevin Eng , X. G. Feng , Dragana Popovic , S. Washburn

Magnetotunnelling spectroscopy of resonant tunnelling structures provides information on the nature of the two-dimensional electron gas in the well. We describe a model based on nonequilibrium Green's functions that allows for a…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Goran Isić , Dragan Indjin , Vitomir Milanović , Jelena Radovanović , Zoran Ikonić , Paul Harrison

We calculate the dynamic effective electron-electron interaction potential for a low density disordered two-dimensional electron gas. The disordered response function is used to calculate the effective potential where the scattering rate is…

Strongly Correlated Electrons · Physics 2009-10-31 J. S. Thakur , D. Neilson

We report measurements of GaAs/AlGaAs undoped field-effect transistors in which two-dimensional electron gases (2DEGs) of exceptional quality and versatility are induced without modulation doping. Electron mobilities at T=4.2 K and density…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. R. Facer , B. E. Kane , A. S. Dzurak , R. J. Heron , N. E. Lumpkin , R. G. Clark , L. N. Pfeiffer , K. W. West

We demonstrate that in strong quantum limit the thermoelectric Peltier effect could define the longitudinal resistivity of dissipationless two-dimensional electron(hole) gas. The current results in heating(cooling) at first(second) Hall bar…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. V. Cheremisin

We derive and evaluate expressions for the frictional Coulomb drag between disordered two-dimensional electron gas layers. Our derivation is based on the memory-function formalism and the expression for the drag reduces to previously known…

Condensed Matter · Physics 2009-10-22 Lian Zheng , A. H. MacDonald

In recent years systematic experimental studies of the temperature dependence of the resistivity in a variety of dilute, ultra clean two dimensional electron/hole systems have revived the fundamental question of localization or,…

Disordered Systems and Neural Networks · Physics 2015-06-24 Alexander Punnoose , Alexander M. Finkel'stein

One-dimensional electron systems (1DESs) exhibit properties that are fundamentally different from higher-dimensional systems. For example, electron-electron interactions in 1DESs have been predicted to induce Tomonaga-Luttinger liquid…

We review some of our recent experimental studies on low-carrier concentration, mesoscopic two-dimensional electron gases (m2DEGs). The m2DEGs show a range of striking characteristics including a complete avoidance of the strongly localised…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Vijay Narayan , Michael Pepper , David Ritchie

We present a microscopic, analytical theory describing a confined N-electron gas in two dimensions subject to an external magnetic field. The number of electrons N and strength of the electron-electron interaction can be arbitrarily large,…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Neil F. Johnson , Luis Quiroga

We present measurements of the energy relaxation length scale $\ell$ in two-dimensional electron gases (2DEGs). A temperature gradient is established in the 2DEG by means of a heating current, and then the elevated electron temperature…

Mesoscale and Nanoscale Physics · Physics 2015-07-16 Jordan Billiald , Dirk Backes , Jürgen König , Ian Farrer , David Ritchie , Vijay Narayan

The critical electron density for the metal-insulator transition in a two-dimensional electron gas can be determined by two distinct methods: (i) a sign change of the temperature derivative of the resistance, and (ii) vanishing activation…

Strongly Correlated Electrons · Physics 2007-05-23 A. A. Shashkin , S. V. Kravchenko , T. M. Klapwijk

By placing the biased tip of an atomic force microscope at a specific position above a semiconductor surface we can locally shape the potential landscape. Inducing a local repulsive potential in a two dimensional electron gas near a quantum…

Mesoscale and Nanoscale Physics · Physics 2014-07-03 N. Pascher , F. Timpu , C. Rossler , T. Ihn , K. Ensslin , C. Reichel , W. Wegscheider

The thermodynamic properties of the electron gas in multilayer graphene depend strongly on the number of layers and the type of stacking. Here we analyse how those properties change when we vary the number of layers for rhombohedral stacked…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 B. Van Duppen , F. M. Peeters

An approach to experimentally exploring electronic correlation functions in mesoscopic regimes is proposed. The idea is to monitor the mesoscopic fluctuations of a tunneling current flowing between the two layers of a semiconductor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , Martin Janssen

The conductance of a weakly interacting electron gas in the presense of a single scatterer is found at arbitrary strength of the scattering potential. At weak interaction, a simple renormalization group approach can be used instead of the…

Condensed Matter · Physics 2009-10-22 K. A. Matveev , Dongxiao Yue , L. I. Glazman

We consider the role of the third dimension in the conductivity of a quasi 2D electron gas. If the transverse correlation radius of the scattering potential is smaller than the width of the channel, i.e. the width of the transverse electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Levanda , V. Fleurov
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