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We discuss the development of a sensitive electrometer that utilizes a two-dimensional electron gas (2DEG) in the quantum Hall regime. As a demonstration, we measure the evolution of the Landau levels in a second, nearby 2DEG as the applied…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 L. H. Ho , L. J. Taskinen , A. P. Micolich , A. R. Hamilton , P. Atkinson , D. A. Ritchie

We apply the diagram-technique formalism beyond the Hartree-Fock approximation to a two-dimensional nearly ideal electron gas in a weak perpendicular magnetic field. The case of an almost completely filled upper Landau level (filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexei Kolesnikov

This work elucidates the novel behavior found in a two-dimensional electron gas (2DEG) under a tilted magnetic field in which the field's angle becomes the dominant factor in tuning the spin-splitting rather than the strength of the…

Mesoscale and Nanoscale Physics · Physics 2013-01-01 Rayda Gammag , Cristine Villagonzalo

The fractional quantum Hall effect has been considered as a puzzling quantum many-body phenomenon that has yet to be fully explained. The plateau width and excitation energy gap are particularly problematic. We report here that those two…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jongbae Hong

The electronic properties of quasi two-dimensional multicomponent systems are investigated in the presence of a perpendicular magnetic field. The effects of the presence of a few valence band holes on the properties of quantum Hall systems…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John J. Quinn , Arkadiusz Wojs , Kyung-Soo Yi

Employing the original, all-optical method, we quantify the magnetic susceptibility of a two-dimensional electron gas (2DEG) confined in the MoSe$_2$ monolayer in the range of low and moderate carrier densities. The impact of…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 K. Oreszczuk , A. Rodek , M. Goryca , T. Kazimierczuk , M. Raczynski , J. Howarth , T. Taniguchi , K. Watanabe , M. Potemski , P. Kossacki

Pinned surface and frozen surface approximations are two commonly used approximations for the boundary conditions at the exposed surfaces of semiconductor structures. We have studied the effect of pinned surface and frozen surface boundary…

Mesoscale and Nanoscale Physics · Physics 2012-03-23 Ahmet Emre Kavruk , Teoman Öztürk , Ülfet Atav , Hüseyin Yüksel

We use variational quantum Monte Carlo to calculate the density-functional exchange-correlation hole n_{xc}, the exchange-correlation energy density e_{xc}, and the total exchange-correlation energy E_{xc}, of several electron gas systems…

Materials Science · Physics 2009-10-31 Maziar Nekovee , W. M. C. Foulkes , R. J. Needs

A theory of shake-up processes in photoabsorption of an interacting low-density two-dimensional electron gas (2DEG) in strong magnetic fields is presented. In these processes, an incident photon creates an electron-hole pair and, because of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. B. Dzyubenko

We study the density of states of two-dimensional electron gas in magnetic field with scattering on point-like impurities that are uniformly distributed along the sample. We show that the electron-impurity interaction completely lifts the…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 A. M. Dyugaev , P. D. Grigoriev , Yu. N. Ovchinnikov

Semiconductor interfaces, such as these existing in multilayer structures (e.g., quantum wells (QWs)), are interesting because of their ability to form 2D electron gases (2DEGs), in which charge carriers behave completely differently than…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Aleksandr Kazakov , Tomasz Wojtowicz

We investigate the evaluation of the six-fold integral representation for the second order exchange contribution to the self energy of a three dimensional electron gas at the Fermi surface.

Mathematical Physics · Physics 2009-11-11 M. L. Glasser , George Lamb

We present an effective theory describing the low-energy properties of an interacting 2D electron gas at large non-integer filling factors $\nu\gg 1$. Assuming that the interaction is sufficiently weak, $r_s < 1$, we integrate out all the…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , L. I. Glazman

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall…

Condensed Matter · Physics 2007-05-23 Choon-Lin Ho , V. R. Khalilov , Chi Yang

Up to almost the last two decades all the experimental results concerning the quantum Hall effect (QHE), i.e., the observation of plateaux at integer (IQHE) or fractional (FQHE) values of the constant h/e2, were related to quantum-wells in…

Mesoscale and Nanoscale Physics · Physics 2020-05-26 M. A. Hidalgo

In the quantum Hall regime, electronic correlations in double-layer two-dimensional electron systems are strong because the kinetic energy is quenched by Landau quantization. In this article we point out that these correlations are…

Condensed Matter · Physics 2009-10-28 T. Jungwirth , A. H. MacDonald

The spectrum and the eigenstates of a finite 2D tight-binding electronic system, with Dirichlet boundary conditions, in magnetic field and external linear potential are studied. The eigenstates show an equipotential character and may cross…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. Aldea , P. Gartner , A. Manolescu , M. Nita

Magnetoconductance of a gated two-dimensional electron gas (2DEG) in the inversion layer on p-type HgCdTe crystal is investigated. At strong magnetic fields, characteristic features such as quantum Hall effect of a 2DEG with single subband…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Rui Yang , Guolin Yu , Kuanghong Gao , Laiming Wei , Xinzhi Liu , Tie Lin , Shaoling Guo , Ning Dai , Junhao Chu

I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the presence of crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

Many-body calculations of the total energy of interacting Dirac electrons in finite graphene samples exhibit joint occurrence of cusps at angular momenta corresponding to fractional fillings characteristic of formation of incompressible…

Mesoscale and Nanoscale Physics · Physics 2014-11-21 Constantine Yannouleas , Igor Romanovsky , Uzi Landman