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Delocalization problem for a two-dimensional non-interacting electron system is studied under a random magnetic field. With the presence of a random magnetic field, the Hall conductance carried by each eigenstate can become nonzero and…

Condensed Matter · Physics 2016-08-31 D. N. Sheng , Z. Y. Weng

In two dimensional electron system in magnetic fields such that the Fermi energy lies in high Landau levels and driven by microwave $ac$-field a divergence of the Coulomb screening due to the Ryzhii photocurrent is predicted. A model of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Kashuba

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

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 report the detection of novel zero-resistance states induced by electromagnetic wave excitation in ultra high mobility GaAs/AlGaAs heterostructure devices, at low magnetic fields, $B$, in the large filling factor limit. Vanishing…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. G. Mani

We suggest an approach for characterizing the zero-field spin splitting of high mobility two-dimensional electron systems, when beats are not readily observable in the Shubnikov-de Haas effect. The zero-field spin splitting and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. G. Mani , J. H. Smet , K. von Klitzing , V. Narayanamurti , W. B. Johnson , V. Umansky

We show that in a very strong magnetic field $B$ electron-phonon interaction gives rise to a splitting of Landau levels of a 2D electron into a series of infinitely degenerate sublevels. We provide both qualitative and quantitative…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 V. V. Cheianov , A. P. Dmitriev , V. Yu. Kachorovskii

We study non-linear transport phenomena in a high-mobility bilayer system with two closely spaced populated electronic subbands in a perpendicular magnetic field. For a moderate direct current excitation, we observe…

Mesoscale and Nanoscale Physics · Physics 2011-10-11 S. Wiedmann , G. M. Gusev , O. E. Raichev , A. K. Bakarov , J. C. Portal

We have measured a strong increase of the low-temperature resistivity $\rho_{xx}$ and a zero-value plateau in the Hall conductivity $\sigma_{xy}$ at the charge neutrality point in graphene subjected to high magnetic fields up to 30 T. We…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 A. J. M. Giesbers , L. A. Ponomarenko , K. S. Novoselov , A. K. Geim , M. I. Katsnelson , J. C. Maan , U. Zeitler

We have investigated the influence of an increasing in-plane magnetic field on the states at half-filling of Landau levels ($\nu$ = 11/2, 9/2, 7/2, and 5/2) of a two-dimensional electron system. In the electrically anisotropic phase at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Pan , R. R. Du , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Using the strong coupling diagram technique, we calculate the zero-temperature density of states $\rho$ of electrons on a square lattice immersed in a perpendicular uniform magnetic field. The electrons are described by Hubbard Hamiltonian.…

Strongly Correlated Electrons · Physics 2025-04-10 Alexei Sherman

2D Fermi liquid driven by uniform alternating electric field at zero temperature may remain in quantum coherent non-equilibrium state. We develop a quasistatic approximation for strong and slow ac-fields and solve the problem of driven…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. Kashuba

Flat bands underlie a diverse range of quantum phenomena, from strongly correlated phases to superconductivity. We theoretically establish that a two-dimensional electron gas under a linear magnetic-field gradient and a transverse electric…

Materials Science · Physics 2026-05-26 You-Ting Huang , Chao-Cheng Kaun , Ching-Hao Chang

We have observed in a low density two-dimensional hole system (2DHS) of extremely high quality (with hole density p=1.6x10^{10} cm^{-2} and mobility \mu=0.8x10^6 cm^2/Vs) that, as the 2DHS is continuously tilted with respect to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. Pan , G. A. Csathy , D. C. Tsui , L. N. Pfeiffer , K. W. West

We report on numerical studies of two-dimensional electron systems in the presence of a perpendicular magnetic field, with a high Landau level index (N > 1) half filled by electrons. Strong and sharp peaks are found in the wave vector…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Rezayi , F. D. M. Haldane , Kun Yang

We report capacitors in which a finite electronic compressibility of graphene dominates the electrostatics, resulting in pronounced changes in capacitance as a function of magnetic field and carrier concentration. The capacitance…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 L. A. Ponomarenko , R. Yang , R. V. Gorbachev , P. Blake , M. I. Katsnelson , K. S. Novoselov , A. K. Geim

By tracking the delocalized states of the two-dimensional hole gas in a p-type GaAs/AlGaAs heterostructure as a function of magnetic field, we mapped out a phase diagram in the density-magnetic-field plane. We found that the energy of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. C. Dultz , H. W. Jiang , W. J. Schaff

The frictional drag between parallel two-dimensional electron systems has been measured in a regime of strong interlayer correlations. When the bilayer system enters the excitonic quantized Hall state at total Landau level filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Kellogg , I. B. Spielman , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We report the observation of a new phenomenon of colossal magnetoresistance in a 40 nm wide GaAs quantum well in the presence of an external magnetic field applied parallel to the high-mobility 2D electron layer. In a strong magnetic field,…

Strongly Correlated Electrons · Physics 2015-03-13 Xiaoqing Zhou , B. A. Piot , M. Bonin , L. W. Engel , S. Das Sarma , G. Gervais , L. N. Pfeiffer , K. W. West

The beating pattern of Shubnikov-de Haas oscillations in 2D electron system in the presence of a Rashba zero-field spin splitting is reproduced. It is shown, taking into account the Zeeman splitting, that the explicit formulae for the node…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. V. Cheremisin , A. S. Furman
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