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Landau levels and states of electrons in a magnetic field are fundamental quantum entities underlying the quantum-Hall and related effects in condensed matter physics. However, the real-space properties and observation of Landau wave…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 P. Schattschneider , Th. Schachinger , M. Stöger-Pollach , S. Löffler , A. Steiger-Thirsfeld , K. Y. Bliokh , F. Nori

A two-dimensional electron gas in a static external magnetic field exhibits two distinct collective excitation modes. The lower frequency mode propagates along the periphery of the domain almost freely with an extended lifetime, which is…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 Ken-ichi Sasaki

We study two dimensional electron systems confined in wide quantum wells whose subband separation is comparable with the Zeeman energy. Two N = 0 Landau levels from different subbands and with opposite spins are pinned in energy when they…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Wenlu Lin , Xing Fan , Lili Zhao , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Hong Lu , Yang Liu

The occurrence of Landau levels in quantum mechanics when a charged particle is subjected to a uniform magnetic field is well known. Considering the recent interest in the electronic properties of graphene, which admits a dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Aritra Ghosh

Twisted graphene bilayers provide a versatile platform to engineer metamaterials with novel emergent properties by exploiting the resulting geometric moir\'{e} superlattice. Such superlattices are known to host bulk valley currents at tiny…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 T. M. R. Wolf , J. L. Lado , G. Blatter , O. Zilberberg

Effect of dc electric field on transport of highly mobile 2D electrons is studied in wide GaAs single quantum wells placed in titled magnetic fields. The study shows that in perpendicular magnetic field resistance oscillates due to electric…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 William Mayer , Sergey Vitkalov , A. A. Bykov

Three-dimensional electron gases in strong magnetic fields host partially flat bands that disperse along the field direction yet exhibit Landau-level quantization in the transverse dimensions. Early work established that for spin-polarized…

Strongly Correlated Electrons · Physics 2026-02-13 Nandagopal Manoj , Valerio Peri , Jason Alicea

In Landau levels N > 1, the ground state of the two-dimensional electron gas (2DEG) in a perpendicular magnetic field evolves from a Wigner crystal for small filling of the partially filled Landau level, into a succession of bubble states…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 R. Cote , C. Doiron , J. Bourassa , H. A. Fertig

Electron plasmas confined by an external magnetic field exhibit variations in a two-dimensional plane orthogonal to the confining magnetic field. A nonlinear fluid simulation code to investigate the properties of 2-D electron plasma wave…

Plasma Physics · Physics 2009-11-13 Dastgeer Shaikh , P. K. Shukla

We review recent experimental results indicating the band flattening and Landau level merging at the chemical potential in strongly-correlated two-dimensional (2D) electron systems. In ultra-clean, strongly interacting 2D electron system in…

Strongly Correlated Electrons · Physics 2022-09-22 V. T. Dolgopolov , M. Yu. Melnikov , A. A. Shashkin , S. V. Kravchenko

Recent magnetotransport experiments on high mobility two-dimensional electron systems have revealed many-body electron states unique to high Landau levels. Among these are re-entrant integer quantum Hall states which undergo sharp…

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

Atomically thin crystals hosting flat electronic bands have been recently identified as a rich playground for exploring and engineering strongly correlated phases. Yet, their variety remains limited, primarily to two-dimensional moir\'e…

Mesoscale and Nanoscale Physics · Physics 2024-12-23 Ruize Ma , Nikita V. Tepliakov , Arash A. Mostofi , Michele Pizzochero

When the electronic dispersion in a material is independent of momentum, it gives rise to strongly correlated flat bands, with the single particle energy, quenched. Though the notion of flat bands had been known since long, their…

Strongly Correlated Electrons · Physics 2025-08-12 Madhuparna Karmakar

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

Moir\'e systems featuring flat electronic bands exhibit a vast landscape of emergent exotic quantum states, making them one of the resourceful platforms in condensed matter physics in recent times. Tuning these systems via twist angle and…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Jin Jiang , Qixuan Gao , Zekang Zhou , Cheng Shen , Mario Di Luca , Emily Hajigeorgiou , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee

We study a relativistic two-dimensional electron gas in the presence of a uniform external magnetic field and a random static scalar potential. We compute, in first order perturbation theory, the averages of the charge density and of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 N. Bralic , C. A. A. de Carvalho , R. M. Cavalcanti , P. Donatis

Considering the quantum dynamics of 2DEG exposed to both a stationary magnetic field and an intense high-frequency electromagnetic wave, we found that the wave decreases the scattering-induced broadening of Landau levels. Therefore, various…

Mesoscale and Nanoscale Physics · Physics 2016-06-09 K. Dini , O. V. Kibis , I. A. Shelykh

The ballistic motion of carriers of graphene in an orthogonal electromagnetic field is investigated to explain Hall conductance of graphene under experimental conditions. With the electrical field, all electronic eigen-states have the same…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ji Luo

The phenomenon of flat bands pinned to the Fermi surface is analyzed on the basis of the Landau-Pitaevskii relation, which is applicable to electron systems of solids. It is shown that the gross properties of normal states of high-$T_c$…

Superconductivity · Physics 2015-05-11 V. A. Khodel , J. W. Clark , V. R. Shaginyan , M. V. Zverev

Surface plasmons in 2-dimensional electron systems with narrow Bloch bands feature an interesting regime in which Landau damping (dissipation via electron-hole pair excitation) is completely quenched. This surprising behavior is made…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Cyprian Lewandowski , Leonid Levitov