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We examine the influence of the edge electronic density profile and of dissipation on edge magnetoplasmons in the quantum Hall regime, in a semiclassical calculation. The equilibrium electron density on the edge, obtained using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. D. Johnson , G. Vignale

In a fluid subject to a magnetic field the viscous stress tensor has a dissipationless antisymmetric component controlled by the so-called Hall viscosity. We here propose an all-electrical scheme that allows a determination of the Hall…

Mesoscale and Nanoscale Physics · Physics 2017-11-06 Francesco M. D. Pellegrino , Iacopo Torre , Marco Polini

In this work we study magnetotransport properties in electronic double layers of strongly correlated electron liquids. For sufficiently clean high-mobility samples, the high-temperature regime of transport in these systems can be described…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 S. S. Apostolov , D. A. Pesin , A. Levchenko

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 G. M. Gusev , A. D. Levin , E. V. Levinson , A. K. Bakarov

We describe the structure of the time-harmonic electromagnetic field of a vertical Hertzian electric dipole source radiating over an infinite, translation invariant two-dimensional electron system. Our model for the electron flow takes into…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Vera Andreeva , Denis A. Bandurin , Mitchell Luskin , Dionisios Margetis

A microscopic theory of odd viscosity in two-dimensional electron systems with smooth disorder and spin-orbit interaction is developed. It is shown that spin-orbit scattering in presence of spin polarization induced by magnetic field gives…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 D. S. Zohrabyan , M. M. Glazov

We examine the physical implications of the viscous redundancy of two-dimensional anisotropic fluids, where different components of the viscosity tensor lead to identical effects in the bulk of a system [Rao and Bradlyn, Phys. Rev. X…

Mesoscale and Nanoscale Physics · Physics 2023-02-24 Pranav Rao , Barry Bradlyn

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

In metallic samples of small enough size and sufficiently strong momentum-conserving scattering, the viscosity of the electron gas can become the dominant process governing transport. In this regime, momentum is a long-lived quantity whose…

Strongly Correlated Electrons · Physics 2017-06-07 Thomas Scaffidi , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie , Joel E. Moore

Materials subjected to a magnetic field exhibit the Hall effect, a phenomenon studied and understood in fine detail. Here we report a qualitative breach of this classical behavior in electron systems with high viscosity. The viscous fluid…

A microscopic treatment of edge magnetoplasmons (EMPs) is presented for the case of not-too-low temperatures in which the inequality $k_{B}T\gg \hbar v_{g}/\ell_{0}$, where $v_{g}$ is the group velocity of the edge states and $\ell_{0}$ is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. G. Balev , Nelson Studart

Surface plasmons or phonons propagating on a two-dimensional (2D) material can exhibit coupling with resonant excitations in its substrate, and the resulting coupled modes were extensively studied. Similar coupling of edge modes propagating…

Optics · Physics 2025-07-23 Azat F. Aminov , Alexey A. Sokolik

Hall effect in high-mobility 2D mesoscopic samples with hydrodynamic electron transport is related to manifestation of non-dissipative Hall viscosity at classical magnetic fields. However, the latter can be obscured by the particular…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 A. A. Grigorev , A. N. Afanasiev

We provide a general theoretical framework to describe the electromagnetic properties of viscous charged fluids, consisting for example of electrons in certain solids or plasmas. We confirm that finite viscosity leads to multiple modes of…

Strongly Correlated Electrons · Physics 2014-08-04 Davide Forcella , Jan Zaanen , Davide Valentinis , Dirk van der Marel

In absence of time-reversal symmetry, viscous electron flow hosts a number of interesting phenomena, of which we focus here on the Hall viscosity. Taking a step beyond the hydrodynamic definition of the Hall viscosity, we derive a…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 Tobias Holder , Raquel Queiroz , Ady Stern

We consider the problem of Coulomb drag resistance in bilayers of electron liquids with spontaneously broken time-reversal symmetry. In the hydrodynamic regime, the viscosity tensor of such fluids has a nonvanishing odd component. In this…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Dmitry Zverevich , Dmitri B. Gutman , Alex Levchenko

We have analytically studied plasmons in an electron system comprised of two spatially separated layers -- an infinite two-dimensional electron system (2DES) and a 2D strip. Our analysis reveals the existence of plasmon modes that are…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 A. A. Zabolotnykh , V. A. Volkov

The wavelength and the propagation length of the edge magnetoplasmons, running along the edge of a two-dimensional electron layer in a semiconductor quantum-well structure are theoretically studied as a function of frequency, magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. A. Mikhailov

Two-dimensional (2D) electrons in high-quality nanostructures at low temperatures can form a viscous fluid. We develop a theory of high-frequency magnetotransport in such fluid. The time dispersion of viscosity should be taken into account…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 P. S. Alekseev

The quantum Hall effect is necessarily accompanied by low-energy excitations localized at the edge of a two-dimensional electron system. For the case of electrons interacting via the long-range Coulomb interaction, these excitations are…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 U. Zuelicke , R. Bluhm , V. A. Kostelecky , A. H. MacDonald
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