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Theoretical and experimental studies have revealed that electrons in condensed matter can behave hydrodynamically, exhibiting fluid phenomena such as Stokes flow and vortices. Unlike classical fluids, preferred directions inside crystals…

Materials Science · Physics 2020-02-24 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Claudia Felser , Prineha Narang

We present a microscopic theory of the viscous electron fluid in the quantum Hall state based on the nonequilibrium Green's function method and the von Neumann lattice representation. This approach permits the formulation of hydrodynamic…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

We theoretically investigate a nonlinear response to a linearly polarized monochromatic electromagnetic wave incident at an angle on a two-dimensional (2D) electronic system (ES) in the form of an infinite strip. The 2D ES is situated on a…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 D. A. Rodionov , S. G. Timchenko , I. V. Zagorodnev

We present the microscopic treatment of edge magnetoplasmons (EMPs) for the regime of not-too-low temperatures defined by the condition $\hbar \omega_{c}\gg k_{B}T\gg \hbar v_{g}/2\ell_{0}$, where $v_{g}$ is the group velocity of the edge…

Mesoscale and Nanoscale Physics · Physics 2010-05-25 Sanderson Silva , Oleg G. Balev

We study responses to metric perturbation in topological insulator models. In this paper we introduce a novel quantity, Hall viscosity to particle density ratio, which is analogous to the viscosity to entropy ratio suggested by AdS/CFT…

Mesoscale and Nanoscale Physics · Physics 2021-05-18 Taro Kimura

One of the main macroscopic differences between ordinary and highly viscous fluids is the lack of transverse sound in the first and possibility of its excitation in the second. In modern high-mobility conductors (Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 P. S. Alekseev , A. P. Alekseeva

Inspired by recent experiments on graphene, we examine the non-dissipative viscoelastic response of anisotropic two-dimensional quantum systems. We pay particular attention to electron fluids with point group symmetries, and those with…

Mesoscale and Nanoscale Physics · Physics 2020-04-09 Pranav Rao , Barry Bradlyn

We compute the Hall viscosity and conductivity of non-relativistic two-dimensional chiral superconductors, where fermions pair due to a short-range attractive potential, e.g. $p+\mathrm{i}p$ pairing, and interact via a long-range repulsive…

Superconductivity · Physics 2020-07-16 Félix Rose , Omri Golan , Sergej Moroz

We report a study of edge magnetoplasmons in a partially-screened system of electrons on a helium surface. We compare experimental results with theories of the frequency, damping, and penetration-depth dependence on magnetic field,…

Strongly Correlated Electrons · Physics 2007-05-23 M. I. Goksu , Mokyang R. Kim , K. A. Mantey , A. J. Dahm

Using a hydrodynamic approach, we show that charge diffusion in two dimensional Coulomb interacting liquids with broken momentum conservation is intrinsically anomalous. The charge relaxation is governed by an overdamped, superdiffusive…

Strongly Correlated Electrons · Physics 2021-06-16 Egor I. Kiselev

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev

The effect of magnetic field diffusion on the stability of accretion disks is a problem that has attracted considerable interest of late. In particular, the Hall effect has the potential to bring about remarkable changes in the dynamical…

Earth and Planetary Astrophysics · Physics 2017-03-29 Gopakumar Mohandas , Martin E. Pessah

Long range Coulomb interaction between the edges of a Hall bar changes the nature of the gapless edge excitations. Instead of independent modes propagating in opposite directions on each edge as expected for a short range interaction one…

Condensed Matter · Physics 2009-10-28 Dror Orgad , Shimon Levit

The dispersion of the volume relativistic magnetoplasma mode in a gated GaAs/AlGaAs quantum well is measured using a coupled resonators detection technique. The weakly damped relativistic mode exhibits an unusual zigzag-shaped…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 P. A. Gusikhin , V. M. Muravev , I. V. Kukushkin

Much of the progress in our understanding of dynamo mechanisms has been made within the theoretical framework of magnetohydrodynamics (MHD). However, for sufficiently diffuse media, the Hall effect eventually becomes non-negligible. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Daniel O. Gomez , Pablo D. Mininni , Pablo Dmitruk

Screening of an external random potential by a two dimensional (2D) Fermi liquid may be strongly dependent on the degree of its polarization. This is considered as a possible mechanism for the observed strong magnetoresistance of the 2D…

Strongly Correlated Electrons · Physics 2009-10-31 Igor F. Herbut

Rejuvenation of hydrodynamic transport in solids provides a new window to study collective motion of electrons, where electrons behave like a viscous fluid akin to classical liquids. Experimental observations of such exotic states have not…

Quantum Physics · Physics 2022-09-13 Weiwei Chen , W. Zhu

We present a supplementary study of previous work in Waybright and Park [Phys. Plasmas 31, 022502 (2024)] which demonstrates a substantial effect of electron viscosity on the resonant layer response to non-axisymmetric magnetic…

Plasma Physics · Physics 2025-07-01 Yeongsun Lee , Jace Waybright , Jong-Kyu Park

We report phase sensitive measurements of microwave propagation through a high mobility two dimensional electron gas subjected to a perpendicular magnetic field. Two types of configurations were used, one that allows all wave vectors q, and…

Condensed Matter · Physics 2009-10-30 N. Q. Balaban , U. Meirav , Hadas Shtrikman , V. Umansky

Edge magnetoplasmons arise on a boundary of conducting layer in perpendicular magnetic field due to an interplay of electron cyclotron motion and Coulomb repulsion. Lateral electric field, which confines electrons inside the sample, drives…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Alexey A. Sokolik , Yurii E. Lozovik