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Recent magneto-transport experiments on ultra-high mobility 2D electron systems in GaAs/AlGaAs heterostructures have revealed the existence of whole new classes of correlated many-electron states in highly excited Landau levels. These new…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P. Eisenstein , M. P. Lilly , K. B. Cooper , L. N. Pfeiffer , K. W. West

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…

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

A brief summary of the emerging evidence for a new class of collective states of two-dimensional electrons in partially occupied excited Landau levels is presented. Among the most dramatic phenomena described are the large anisotropies of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. P Eisenstein , M. P. Lilly , K. B. Cooper , L. N. Pfeiffer , K. W. West

The two-dimensional electron system (2DES) is a unique laboratory for the physics of interacting particles. Application of a large magnetic field produces massively degenerate quantum levels known as Landau levels. Within a Landau level the…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 O. E. Dial , R. C. Ashoori , L. N. Pfeiffer , K. W. West

We use particle entanglement spectra to characterize bosonic quantum Hall states on lattices, motivated by recent studies of bosonic atoms on optical lattices. Unlike for the related problem of fractional Chern insulators, very good trial…

Mesoscale and Nanoscale Physics · Physics 2012-10-16 A. Sterdyniak , N. Regnault , G. Moller

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

The exact diagonalization technique is used to study many-particle properties of interacting electrons with spin, confined in a two-dimensional harmonic potential. The single-particle basis is limited to the lowest Landau level. The results…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Koskinen , S. M. Reimann , J. -P. Nikkarila , M. Manninen

It is demonstrated that the Landau diamagnetism of the free electron gas and a monovalent metal can be considered as a Fermi surface effect. Only relatively small number of electron states close to the Fermi surface are diamagnetically…

Materials Science · Physics 2018-12-26 Alexander V. Nikolaev

We present transport measurements of tunnel junctions made between Cu and graphene in a magnetic field. We observe a transition to a Landau level like structure at high fields, as well as a set of sharp features in the tunneling spectra…

Mesoscale and Nanoscale Physics · Physics 2011-09-22 C. E. Malec , D. Davidović

We present a Hartree-Fock study that incorporates the effects of Landau level mixing and screening due to filled levels into the computation of energies and states of quasiparticles in quantum Hall ferromagnets. We use it to construct a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. Mihalek , H. A. Fertig

A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can…

Disordered Systems and Neural Networks · Physics 2019-08-21 Akshay Krishna , Matteo Ippoliti , R. N. Bhatt

Quantum geometry is a fundamental concept to characterize the local properties of quantum states. It is recently demonstrated that saturating certain quantum geometric bounds allows a topological Chern band to share many essential features…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Zhao Liu , Bruno Mera , Manato Fujimoto , Tomoki Ozawa , Jie Wang

Dirac electrons in finite graphene samples with zigzag edges under high magnetic fields (in the regime of Landau-level formation) are investigated with regard to their bulk-type and edge-type character. We employ tight-binding calculations…

Mesoscale and Nanoscale Physics · Physics 2011-02-16 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

Landau level broadening mechanisms in electrically neutral and quasineutral graphene were investigated through micro-magneto-Raman experiments in three different samples, namely, a natural single-layer graphene flake and a back-gated…

Properly regularized second-order degenerate perturbation theory is applied to compute the contribution of higher Landau levels to the low-energy spectrum of interacting electrons in a disk-shaped quantum dot. At ``filling factor'' near…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Augusto Gonzalez , Juan David Serna , Roberto Capote , Guillermo Avendaño

We report on microscopic measurements of the low-energy electronic structures both at zigzag and armchair edges of bilayer graphene using scanning tunneling microscopy and spectroscopy (STM and STS). We have found that, both in the absence…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Long-Jing Yin , Yu Zhang , Jia-Bin Qiao , Si-Yu Li , Lin He

We study the energy spectrum of a two-dimensional electron in the presence of both a perpendicular magnetic field and a potential. In the limit where the potential is small compared to the Landau level spacing, we show that the broadening…

Other Condensed Matter · Physics 2019-09-10 J. -N. Fuchs , R. Mosseri , J. Vidal

We present a method to calculate the Landau levels and the corresponding edge states of two dimensional (2D) crystals using as a starting point their electronic structure as obtained from standard density functional theory (DFT). The DFT…

Mesoscale and Nanoscale Physics · Physics 2016-09-16 J. L. Lado , J. Fernandez-Rossier

We report on the far-infrared magnetospectroscopy of HgTe quantum wells with inverted band ordering at different electron concentrations. We particularly focus on optical transitions from zero-mode Landau levels, which split from the edges…

Despite various novel broken symmetry states have been revealed in bilayer graphene (BLG) experimentally, the atomic-scale spectroscopic investigation has been greatly limited. Here, we study high-resolution spectroscopic characteristics of…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Long-Jing Yin , Li-Juan Shi , Li-Zhen Yang , Ling-Hui Tong , Lin He
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