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Electron-beam propagation experiments have been used to determine the energy and angle dependence of electron-electron (ee) scattering a two-dimensional electron gas (2DEG) in a very direct manner by a new spectroscopy method. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Yanovsky , H. Predel , H. Buhmann , R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , L. W. Molenkamp

We investigate the many-body properties of a two-dimensional electron gas constrained to the surface of a sphere, a system which is physically realized in multielectron bubbles in liquid helium. A second-quantization formalism, suited for…

Condensed Matter · Physics 2009-11-07 J. Tempere , I. F. Silvera , J. T. Devreese

The deviation of the energy position of a delocalized state from the center of Landau level is studied in the framework of the Chalker-Coddington model. It is demonstrated that introducing a weak Landau level mixing results in a shift of…

Condensed Matter · Physics 2016-08-31 T. V. Shahbazyan , M. E. Raikh

Two-dimensional electron systems with fascinating properties exist in multilayers of standard semiconductors, on helium surfaces, and in oxides. Compared to the two-dimensional (2D) electron gases of semiconductors, the 2D electron systems…

Strongly Correlated Electrons · Physics 2016-06-22 J. Zabaleta , V. S. Borisov , R. Wanke , H. O. Jeschke , S. C. Parks , B. Baum , A. Teker , T. Harada , K. Syassen , T. Kopp , N. Pavlenko , R. Valentí , J. Mannhart

We examine the behaviour of a charged particle in a two-dimensional confining potential, in the presence of a magnetic field. The confinement serves to remove the otherwise infinite degeneracy, but additional ingredients are required to…

Mesoscale and Nanoscale Physics · Physics 2021-10-05 Asadullah Bhuiyan , Frank Marsiglio

To fully appreciate the impacts that the discovery of the quantum Hall effect had on electrical metrology, it may benefit the reader to cultivate a general understanding of the phenomenon. Two-dimensional electron systems can exhibit many…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Albert F. Rigosi

We calculate the density of states of a two dimensional electron gas located at the interface of a GaAlAs/GaAs heterojunction. The disorder potential which is generally created by a single doping layer behind a spacer, is here enhanced by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Stephane Bonifacie , Christophe Chaubet , Benoit Jouault , Andre Raymond

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

The topic of this contribution is the investigation of quantum states and quantum Hall effect in electron gas subjected to a periodic potential of the lateral lattice. The potential is formed by triangular quantum antidos located on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Ya. Demikhovskii , A. A. Perov

The frequency-dependent conductivity $\sigma_{xx}(\omega)$ of 2D electrons subjected to a transverse magnetic field and smooth disorder is calculated. The interplay of Landau quantization and disorder scattering gives rise to an oscillatory…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. A. Dmitriev , A. D. Mirlin , D. G. Polyakov

We use a pin-grid electrode to introduce a corrugated electrical potential into a planar dielectric-barrier discharge (DBD) system, so that the amplitude of the applied electric field has the profile of a two-dimensional square lattice. The…

Pattern Formation and Solitons · Physics 2015-06-03 Josiah Sinclair , Matthew Walhout

We report electrical conductivity $\sigma$ measurements on a range of two-dimensional electron gases (2DEGs) of varying linear extent. Intriguingly, at low temperatures ($T$) and low carrier density ($n_{\mathrm{s}}$) we find the behavior…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Dirk Backes , Richard Hall , Michael Pepper , Harvey Beere , David Ritchie , Vijay Narayan

In this work, we study how the combination of rotation and a topological defect can influence the energy spectrum of a two dimensional electron gas in a strong perpendicular magnetic field. A deviation from the linear behavior of the energy…

Mesoscale and Nanoscale Physics · Physics 2017-09-11 Julio Brandão , Cleverson Filgueiras , Moises Rojas , Fernando Moraes

Electrons on a square lattice with half a flux quantum per plaquette are considered. An effective description for the current loops is given by a two-dimensional Dirac theory with random mass. It is shown that the conductivity and the…

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

In multiband superconductivity, the case where the single electron hopping between different Fermi surface spots of different symmetry is forbidden by selection rules is recently attracting a large interest. The focus is addressed to…

Superconductivity · Physics 2014-10-14 Antonio Bianconi , Davide Innocenti , Antonio Valletta , Andrea Perali

We derive an analytic expression for the geometric Hall viscosity of non-interacting electrons in a single graphene layer in the presence of a perpendicular magnetic field. We show that a recently-derived formula in [C. Hoyos and D. T. Son,…

Mesoscale and Nanoscale Physics · Physics 2016-09-19 Mohammad Sherafati , Alessandro Principi , Giovanni Vignale

We study the influence of step defect on surface states in three-dimensional topological insulators subject to a perpendicular magnetic field. By calculating the energy spectrum of the surface states, we find that Landau levels (LLs) can…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 Yan-Feng Zhou , Ai-Min Guo , Qing-Feng Sun

In electronic devices where a two-dimensional electron gas (2DEG) comprises one or both sides of a plane capacitor, the resulting capacitance $C$ can be larger than the "geometric capacitance" $C_g$ determined by the physical separation $d$…

Mesoscale and Nanoscale Physics · Physics 2012-07-06 Brian Skinner , B. I. Shklovskii

Microwave irradiation of a two-dimensional electron gas (2DEG) produces a non-equilibrium distribution of electrons, and leads to oscillations in the dissipative part of the conductivity. We show that the same non-equilibrium electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. G. Vavilov , I. A. Dmitriev , I. L. Aleiner , A. D. Mirlin , D. G. Polyakov

The energy spectrum of a two-dimensional electron gas (2DEG) in the fractional quantum Hall regime interacting with an optically injected valence band hole is studied as a function of the filling factor $\nu$ and the separation $d$ between…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn