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We predict resistance anomalies to be observed at high mobility two dimensional electron systems (2DESs) in the fractional quantized Hall regime, where the narrow (L <10 ?m) Hall bar is defined by top gates. An analytic calculation scheme…

介观与纳米尺度物理 · 物理学 2010-12-09 A. Salman , A. I. Mese , M. B. Yucel , A. Siddiki

We investigate quantum Hall stripes under in-plane magnetic field $B_\parallel$ in a variable-density two-dimensional electron gas. At filling factor $\nu = 9/2$, we observe one, two, and zero $B_\parallel$-induced reorientations at low,…

介观与纳米尺度物理 · 物理学 2017-04-12 Q. Shi , M. A. Zudov , Q. Qian , J. D. Watson , M. J. Manfra

We use a fully self-consistent laterally resolved Hartree-Fock approximation for numerically addressing the electron configurations at higher Landau levels in the quantum Hall regime for near-macroscopic sample sizes. Our results give…

强关联电子 · 物理学 2020-10-07 Josef Oswald , Rudolf A. Römer

We study here the onset of charge density wave instabilities in quantum Hall systems at finite temperature for Landau level filling $\nu>4$. Specific emphasis is placed on the role of disorder as well as an in-plane magnetic field. Beyond…

介观与纳米尺度物理 · 物理学 2009-10-31 Tudor Stanescu , Ivar Martin , Philip Phillips

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

介观与纳米尺度物理 · 物理学 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

We experimentally study the energy gap within the incompressible strip at local filling factor $\nu_c=1$ at the quantum Hall edge for samples of very different mobilities. The obtained results indicate strong enhancement of the energy gap…

介观与纳米尺度物理 · 物理学 2015-05-19 E. V. Deviatov , A. Lorke , G. Biasiol , L. Sorba , W. Wegscheider

We study the effect of magnetic field on the properties of a high mobility gated two-dimensional electron gas in a field effect transistor with the Hall bar geometry. When approaching the current saturation when the drain side of the…

介观与纳米尺度物理 · 物理学 2020-12-30 N. Dyakonova , M. Dyakonov , Z. D. Kvon

It is well established that the ground states of a two-dimensional electron gas with half-filled high ($N \ge 2$) Landau levels are compressible charge-ordered states, known as quantum Hall stripe (QHS) phases. The generic features of QHSs…

介观与纳米尺度物理 · 物理学 2020-03-04 X. Fu , Q. Shi , M. A. Zudov , G. C. Gardner , J. D. Watson , M. J. Manfra , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We consider a non-interacting electron gas confined to a two-dimensional crystal by the action of a perpendicular magnetic field; in the one-particle approximation, the dynamics of the system is modelled by a spectrally gapped Bloch-Landau…

数学物理 · 物理学 2026-01-30 Gabriele Mazzini , Domenico Monaco

At total Landau level filling factor $\nu_{tot}=1$ a double layer two-dimensional electron system with small interlayer separation supports a collective state possessing spontaneous interlayer phase coherence. This state exhibits the…

介观与纳米尺度物理 · 物理学 2012-08-28 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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,…

介观与纳米尺度物理 · 物理学 2009-10-28 Neil F. Johnson , Luis Quiroga

We investigate integer and half-integer filling states (uniform and unidimensional stripe states respectively) for graphene using the Hartree-Fock approximation. For fixed filling factor, the ratio between the scales of the Coulomb…

介观与纳米尺度物理 · 物理学 2009-09-24 Jianhui Wang , A. Iyengar , H. A. Fertig , L. Brey

We measure the conductance of a quantum point contact (QPC) while the biased tip of a scanning probe microscope induces a depleted region in the electron gas underneath. At finite magnetic field we find plateaus in the real-space maps of…

介观与纳米尺度物理 · 物理学 2014-03-17 Nikola Pascher , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

Two-dimensional electron gas in the integer quantum Hall regime is investigated numerically by studying the dynamics of an electron hopping on a square lattice subject to a perpendicular magnetic field and random on-site energy with white…

无序系统与神经网络 · 物理学 2014-02-07 C. Wang , Y. Avishai , Y. Meir , X. R. Wang

We study the charge transport of the noninteracting electron gas in a two-dimensional quantum Hall system with Anderson-type impurities at zero temperature. We prove that there exist localized states of the bulk order in the…

数学物理 · 物理学 2009-11-11 Tohru Koma

We show through both theoretical arguments and numerical calculations that graphene discerns an unconventional sequence of quantized Hall conductivity, when subject to both magnetic fields (B) and strain. The latter produces time-reversal…

介观与纳米尺度物理 · 物理学 2015-03-20 Bitan Roy , Zi-Xiang Hu , Kun Yang

Determining plateau widths and energy gaps is the remaining task to fully understand the electron transport that gives the fractional quantum Hall effect at the lowest Landau level (LLL). We report that this determination is given by the…

强关联电子 · 物理学 2022-07-26 Jongbae Hong

The quantum Hall effect is generally understood for free electron gases, in which topologically protected edge states between Landau levels (LLs) form conducting channels at the edge of the sample. In periodic crystals, the LLs are…

强关联电子 · 物理学 2020-03-26 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

A strong anisotropy in the longitudinal resistivity of a 2D electron system has been observed at half-filled high Landau levels. We report on detailed Hartree-Fock calculations of the unidirectional charge density wave (UCDW) orientation…

介观与纳米尺度物理 · 物理学 2007-05-23 T. Jungwirth , A. H. MacDonald , L. Smrčka , S. M. Girvin

We study the Hall constant in a homogeneous two-dimensional fluid of correlated electrons immersed in a perpendicular magnetic field, with special focus on the regime of low carrier density. The model consists of a one-band tight-binding…

强关联电子 · 物理学 2024-01-31 Giacomo Morpurgo , Louk Rademaker , Christophe Berthod , Thierry Giamarchi