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Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level can be thought as shared equally by electrons…

Mesoscale and Nanoscale Physics · Physics 2007-05-28 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

In this report we summarize a recent progress in exploration of correlated two-dimensional electron states in partially filled high Landau levels. At a mean-field Hartree-Fock level they can be described as charge-density waves, either…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael M. Fogler

We present the results of an experimental study of the interaction of quantized Landau level (LL) edge-states at the physical edge of graphene by using a graphene pn junction device with a ring-shaped geometry for the channel. The unique…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Son T. Le , Joseph A. Hagmann , Nikolai Klimov , David Newell , Ji Ung Lee , Jun Yan , Curt A. Richter

We present a brief survey of the charge density wave phases of a two-dimensional electron liquid in moderate to weak magnetic fields where several higher Landau levels are occupied. The review follows the chronological development of this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

Magnetotransport measurements are performed in ultraclean (lithographically patterned) graphene nanoribbons down to 70 nm. At high magnetic fields, a fragmentation of the electronic spectrum into a Landau levels pattern with unusual…

Modern bandgap engineered electronic devices are typically made of multi-semiconductor multi-layer heterostructures that pose a major challenge to silicon-era characterization methods. As a result, contemporary bandgap engineering relies…

Applied Physics · Physics 2018-01-18 Yury Turkulets , Ilan Shalish

According to the Onsager's semiclassical quantization rule, the Landau levels of a band are bounded by its upper and lower band edges at zero magnetic field. However, there are two notable systems where the Landau level spectra violate this…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Yoonseok Hwang , Jun-Won Rhim , Bohm-Jung Yang

We have studied the optical and electrical spectra from an n i p LED as a function of magnetic field. This sample incorporated three GaAs quantum wells in the intrinsic region. This device had excess n type doping and as a result. The…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Imran Khan , Bipin Singh Koranga , Sunil Kumar

A monolayer graphene exists in an environment where a uniform magnetic field interacts a spatially modulated magnetic field. The spatially modulated magnetic field could affect Landau levels due to a uniform magnetic field. The modulation…

Mesoscale and Nanoscale Physics · Physics 2007-08-02 J. H. Ho , Y. H. Lai , Y. H. Chiu , M. F. Lin

Within the "lowest Landau level approximation", we develop a method to find the ground state of a 2d system of interacting particles confined by a parabolic potential.

Strongly Correlated Electrons · Physics 2009-11-07 M. S. Hussein , O. K. Vorov

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.…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Bruno Mera , Tomoki Ozawa

We study two interacting electrons in a two-dimensional system under a strong magnetic field and show that their numerically exact solutions organize into a set of {\em sub-Landau levels} characterized by relative angular momentum quantum…

Strongly Correlated Electrons · Physics 2026-04-07 Guo-Qiang Hai

Using variational quantum Monte Carlo method, the effect of Landau-level mixing on the lowest-energy--state diagram of small quantum dots is studied in the magnetic field range where the density of magnetic flux quanta just exceeds the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 S. Siljamaki , A. Harju , R. M. Nieminen , V. A. Sverdlov , P. Hyvonen

The ground state phase diagram of two-dimensional electrons in high magnetic field is studied by the density matrix renormalization group (DMRG) method. The low energy excitations and pair correlation functions in Landau levels of N=0,1,2…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Naokazu Shibata , Daijiro Yoshioka

Progress on the Intensity Frontier of high energy physics critically depends on record high intensity charged particles accelerators. Beams in such machines become operationally limited by coherent beam instabilities, particularly enhanced…

Accelerator Physics · Physics 2017-09-29 Yuri Alexahin , Alexey Burov , Vladimir Shiltsev

Topological orders emerge in both microscopic quantum dynamics and macroscopic materials as a fundamental principle to characterize intricate properties in nature with vital significance, for instance, the Landau levels of electron systems…

Optics · Physics 2024-05-16 Jing Pan , Zhaoyang Wang , Yuan Meng , Xing Fu , Yijie Shen , Qiang Liu

A single Landau level (LL) dressed with periodic electrostatic potentials can realize a plethora of interacting topological phases where the Hall conductivity generally does not equal to the LL filling factor. Their physics can be captured…

Strongly Correlated Electrons · Physics 2026-04-07 Bo Peng , Yuzhu Wang , Bo Yang

Synthetic photonic materials are an emerging platform for exploring the interface between microscopic quantum dynamics and macroscopic material properties[1-5]. Photons experiencing a Lorentz force develop handedness, providing…

Quantum Gases · Physics 2017-01-25 Nathan Schine , Albert Ryou , Andrey Gromov , Ariel Sommer , Jonathan Simon

We study the magnetic-field dependence of Landau levels in graphene proximitized by large spin-orbit coupling materials, such as transition-metal dichalcogenides or topological insulators. In addition to the Rashba coupling, two types of…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Tobias Frank , Jaroslav Fabian

Using the path-integral approach developed by Br\'ezin et al. [ Nucl.Phys.B235, 24 (1984) ], we obtain an analytical expression for the density of states of a spin-1/2 disordered two-dimensional electron gas in a strong, perpendicular…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Ming-Hsien Tu , Min-Fong Yang