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We study the dissipative and Hall viscosity of a disordered noninteracting 2D electrons, both analytically and numerically. Analytically, we employ the self-consistent Born approximation, explicitly taking into account the modification of…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 I. S. Burmistrov , M. Goldstein , M. Kot , V. D. Kurilovich , P. D. Kurilovich

The transport properties of the two-dimensional system in HgTe-based quantum wells containing simultaneously electrons and holes of low densities are examined. The Hall resistance, as a function of perpendicular magnetic field, reveals an…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 O. E. Raichev , G. M. Gusev , E. B. Olshanetsky , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e. a disordered distribution of magnetic flux vortices, and a periodic array of magnetic flux…

Condensed Matter · Physics 2009-10-22 Mads Nielsen , Per Hedegaard

We provide a theoretical framework for the electric field control of the electron spin in systems with diffusive electron motion. The approach is valid in the experimentally important case where both intrinsic and extrinsic spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-09-10 R. Raimondi , P. Schwab

Coulomb drag resulting from interlayer electron-electron scattering in double layer 2D electron systems at high magnetic field has been measured. Within the lowest Landau level the observed drag resistance exceeds its zero magnetic value by…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. P. Lilly , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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

Two-dimensional (2D) bilayers, twisted to particular angles to display electronic flat bands, are being extensively explored for physics of strongly correlated 2D systems. However, the similar rich physics of one-dimensional (1D) strongly…

Materials Science · Physics 2022-06-06 Sunny Gupta , Henry Yu , Boris I. Yakobson

The recent discovery of the 3D quantum Hall effect in $\mathrm{HfTe_5}$ has also revealed puzzling signatures of possible 3D fractionalization. Beyond the first plateau associated with the lowest Landau band, Hall conductivity exhibits a…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Jun-Hong Li , Yi-Yuan Chen , Peng-Lu Zhao , Hai-Zhou Lu , X. C. Xie

In this review, we present recent works on materials whose common point is the presence of electronic bands of very low dispersion, called "flat bands", which are due to specific atomic order effects without electron interactions. These…

We study the formation and properties of perfectly-flat zero energy bands in a multi-layer graphene systems in the chiral limit. Employing the degrees of freedoms of the multi-layer system, such as relative twist-angle and relative shifts,…

Mesoscale and Nanoscale Physics · Physics 2024-04-25 Roi Makov , Francisco Guinea , Ady Stern

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

Electronic correlations stemming from nearly flat bands in van der Waals materials have demonstrated to be a powerful playground to engineer artificial quantum matter, including superconductors, correlated insulators and topological matter.…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Antonio L. R. Manesco , Jose L. Lado , Eduardo V. S. Ribeiro , Gabrielle Weber , Durval Rodrigues

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…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 A. A. Vasilchenko

Landau levels (LLs) are the massively-degenerate discrete energy spectrum of a charged particle in a transverse magnetic field and lie at the heart of many intriguing phenomena such as the integer and fractional quantum Hall effects as well…

Strongly Correlated Electrons · Physics 2026-03-06 Farokh Mivehvar

Flat band networks are characterized by coexistence of dispersive and flat bands. Flat bands (FB) are generated by compact localized eigenstates (CLS) with local network symmetries, based on destructive interference. Correlated disorder and…

Disordered Systems and Neural Networks · Physics 2014-12-11 Joshua D. Bodyfelt , Daniel Leykam , Carlo Danieli , Xiaoquan Yu , Sergej Flach

The density of states and the Hall conductivity of a two-dimensional electron gas in a uniform magnetic field and in the presence of a delta impurity are exactly calculated using elementary field theoretic techniques. Although these results…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. M. Cavalcanti , C. A. A. de Carvalho

Magnetic states of the electron gas confined in modulation-doped core-shell nanowires are calculated for a transverse field of arbitrary strength and orientation. Magneto-conductance is predicted within the Landauer approach. The modeling…

Mesoscale and Nanoscale Physics · Physics 2016-04-29 Miquel Royo , Andrea Bertoni , Guido Goldoni

We investigate the magneto-transport properties of electrons on a square lattice under a magnetic field with the alternate flux strength $\phi\pm\Delta\phi$ in neighboring plaquettes. A new peculiar behavior of the Hall conductance has been…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yi-Fei Wang , Chang-De Gong

Energies and wave functions of edge states in twodimensional electron gas are evaluated for a finite step potential barrier model. The spectrum, instead of smooth bending of Landau branches in the vicinity of the barrier acquires a steplike…

Condensed Matter · Physics 2015-06-25 I. Bartos , B. Rosenstein