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We report on results of systematic numerical studies of two-dimensional electron gas systems subject to a perpendicular magnetic field, with a high Landau level partially filled by electrons. Our results are strongly suggestive of a…

介观与纳米尺度物理 · 物理学 2009-10-31 F. D. M. Haldane , E H. Rezayi , Kun Yang

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in…

介观与纳米尺度物理 · 物理学 2023-01-25 A. A. Vasilchenko

It is known experimentally that at not very large filling factors $\nu$ the quantum Hall conductivity peaks corresponding to the same Landau level number $N$ and two different spin orientations are well separated. These peaks occur at…

凝聚态物理 · 物理学 2009-10-28 M. M. Fogler , B. I. Shklovskii

Landau levels are the eigenstates of a charged particle in two dimensions under a magnetic field, and are at the heart of the integer and fractional quantum Hall effects, which are two prototypical phenomena showing topological features.…

介观与纳米尺度物理 · 物理学 2024-09-05 Bruno Mera , Tomoki Ozawa

Charge density waves are thought to be common in two-dimensional electron systems in quantizing magnetic fields. Such phases are formed by the quasiparticles of the topmost occupied Landau level when it is partially filled. One class of…

介观与纳米尺度物理 · 物理学 2007-05-23 Michael M. Fogler

The phase diagram of an interacting two-dimensional electron system in a high magnetic field is enriched by the varying form of the effective Coulomb interaction, which depends strongly on the Landau level index. While the fractional…

We report on magneto-transport studies of dual-gated, Bernal-stacked trilayer graphene (TLG) encapsulated in boron nitride crystals. We observe a quantum Hall effect staircase which indicates a complete lifting of the twelve-fold degeneracy…

We report a magnetotransport study of the termination of the spin-resolved integer quantum Hall effect by controlled disorder in a gated GaAs/AlGaAs heterostructure. We have found that, for a given N^{th} Landau level, the difference in…

介观与纳米尺度物理 · 物理学 2009-10-30 L. W. Wong , H. W. Jiang , E. Palm , W. J. Schaff

Trilayer graphene in the fractional Quantum Hall Effect regime displays a set of unique interaction-induced transitions that can be tuned entirely by the applied bias voltage. These transitions occur near the anti-crossing points of two…

强关联电子 · 物理学 2015-06-03 Vadim M. Apalkov , Tapash Chakraborty

We compute the effect of Landau-level-mixing on the effective two-body and three-body pseudopotentials for electrons in the lowest and second Landau levels. We find that the resulting effective three-body interaction is attractive in the…

强关联电子 · 物理学 2015-05-13 Waheb Bishara , Chetan Nayak

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…

介观与纳米尺度物理 · 物理学 2022-02-15 Albert F. Rigosi

Electron transport in nonideal quantum wells (QW) with large-scale variations of energy levels is studied when two subbands are occupied. Although the mean fluctuations of these two levels are screened by the in-plane redistribution of…

介观与纳米尺度物理 · 物理学 2009-10-31 O. G. Balev , F. T. Vasko , Flavio Aristone , Nelson Studart

The quantum Hall system in the lowest Landau level with Zeeman term is studied by a two-state model, which has a chiral invariance. Using a diagrammatic analysis, we examine this two-state model with random impurity scattering, and find the…

介观与纳米尺度物理 · 物理学 2009-10-28 S. Hikami , K. Minakuchi

Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

介观与纳米尺度物理 · 物理学 2019-06-17 Thierry Champel , Serge Florens

The lifting of the degeneracy of the states from the graphene $n$=0 Landau level (LL) is investigated through a non-interacting tight-binding model with random hoppings. A disorder-driven splitting of two bands and of two critical energies…

介观与纳米尺度物理 · 物理学 2009-10-01 Ana L. C. Pereira

Computer modelling of the integer quantum Hall effect based on self-consistent Hartee-Fock calculations has now reached an astonishing level of maturity. Spatially-resolved studies of the electron density at near macroscopic system sizes of…

介观与纳米尺度物理 · 物理学 2021-08-03 Rudolf A. Römer , Josef Oswald

We report electrical transport measurements in a tilted magnetic field on a high-mobility two-dimensional electron system confined at the MgZnO/ZnO heterointerface. The observation of multiple crossing events of spin-resolved Landau levels…

介观与纳米尺度物理 · 物理学 2015-06-23 D. Maryenko , J. Falson , Y. Kozuka , A. Tsukazaki , M. Kawasaki

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

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…

凝聚态物理 · 物理学 2009-10-28 T. Jungwirth , A. H. MacDonald

Measurements in GaAs hole bilayers with unequal layer densities reveal a pronounced magneto-resistance hysteresis at the magnetic field positions where either the majority or minority layer is at Landau level filling factor one. At a fixed…

介观与纳米尺度物理 · 物理学 2009-11-10 E. Tutuc , R. Pillarisetty , S. Melinte , E. P. De Poortere , M. Shayegan