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The hydrodynamic flow of the chiral electron fluid in a Weyl semimetal slab of finite thickness is studied by using the consistent hydrodynamic theory. The latter includes viscous, anomalous, and vortical effects, as well as accounts for…

Strongly Correlated Electrons · Physics 2018-05-23 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We study the hydrodynamic transport of electrons in a Weyl semimetal in a strong magnetic field. Impurity scattering in a Weyl semimetal with two Weyl nodes is strongly anisotropic as a function of the direction of the field and is…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Siyu Zhu , Grigory Bednik , Sergey Syzranov

In clean Dirac electron systems such as graphene, electron-electron interactions can dominate over other relaxation mechanisms such as phonon or impurity scattering. In this limit, collective electron dynamics can be described by…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Kristof Moors , Oleksiy Kashuba , Thomas L. Schmidt

Weyl semimetals realize massless relativistic fermions with two Weyl nodes separated in energy and momentum space, whose low-energy physics is described by Dirac fermions with an axial gauge constant. Here, we study their electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Tatsuya Amitani , Yusuke Nishida

The dynamic motion of topological defects in magnets induces an emergent electric field, as exemplified by the continuous flow of skyrmion vortices. However, the electrodynamics underlying this emergent field remains poorly understood. In…

We predict hydrodynamic Turing instability of current-carrying Dirac electron fluids that drives spontaneous self-oscillatory transport. The instability arises near charge neutrality, where carrier kinetics make current dissipation strongly…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Prayoga Liong , Aliaksandr Melnichenka , Anton Bukhtatyi , Albert Bilous , Leonid Levitov

We study the current of chiral charge density in a Dirac semimetal with two Dirac points in momentum space, subjected to an externally applied time dependent electric field and in the presence of a magnetic field. Based on the kinetic…

Mesoscale and Nanoscale Physics · Physics 2018-12-06 Alexander A. Zyuzin , M. Silaev , Vladimir A. Zyuzin

We consider the hydrodynamic flow of an electron fluid in a channel formed in a two-dimensional electron gas (2DEG) with no-slip boundary conditions. To generate vorticity in the fluid the flow is influenced by an array of micromagnets on…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Jack N. Engdahl , Aydın Cem Keser , Thomas Schmidt , Oleg P. Sushkov

Viscous electronics is an emerging field dealing with systems in which strongly interacting electrons behave as a fluid. Electron viscous flows are governed by a nonlocal current-field relation which renders the spatial patterns of current…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Gregory Falkovich , Leonid Levitov

Dominating electron-electron scattering enables viscous electron flow exhibiting hydrodynamic current density patterns such as Poiseuille profiles or vortices. The viscous regime has recently been observed in graphene by non-local transport…

Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid dynamics that have attracted much attention from scientists for both the mathematical challenge and their industrial applications. The coupling of electric…

Fluid Dynamics · Physics 2023-01-04 Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr , Alex Doak

We develop a theory of drag in graphene double layers near charge neutrality. We work in the regime of electron hydrodynamics and account for interlayer correlations of charge puddle disorder. The drag resistivity is expressed in terms of…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Dmitry Zverevich , Alex Levchenko , A. V. Andreev

We study the phase diagram of a Dirac semimetal in a magnetic field at a nonzero charge density. It is shown that there exists a critical value of the chemical potential at which a first-order phase transition takes place. At subcritical…

Mesoscale and Nanoscale Physics · Physics 2013-10-09 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

In ultra-pure conductors, collective motion of charge carriers at relatively high temperatures may become hydrodynamic such that electronic transport may be described similarly to a viscous flow. In confined geometries (e.g., in ultra-high…

Strongly Correlated Electrons · Physics 2018-09-12 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Titov

A numerical and systematic parameter study of three-dimensional vesicle electrohydrodynamics is presented to investigate the effects of different fluid and membrane properties. The dynamics of vesicles in the presence of DC electric fields…

Soft Condensed Matter · Physics 2016-05-24 Ebrahim M. Kolahdouz , David Salac

If a magnetic field normal to the surface of a magnetic fluid is increased beyond a critical value a spontaneous deformation of the surface arises (normal field instability). The instability is subcritical and leads to peaks of a…

patt-sol · Physics 2016-09-08 Thomas Mahr , Ingo Rehberg

It is now well-established, both theoretically and experimentally, that charge transport of metals can be in a hydrodynamic regime in which frequent electron-electron collisions play a significant role. Meanwhile, recent experiments have…

Strongly Correlated Electrons · Physics 2025-04-18 Jun Ho Son

We propose a protocol to identify spatial hallmarks of viscous electron flow in graphene and other two-dimensional viscous electron fluids. We predict that the profile of the magnetic field generated by hydrodynamic electron currents…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Karina A. Guerrero-Becerra , Francesco M. D. Pellegrino , Marco Polini

We study two-dimensional electron systems in the hydrodynamic regime. We show that a geometrical Berry curvature modifies the effective Navier-Stokes equation for viscous electron flow in topological materials. For small electric fields,…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Eddwi H. Hasdeo , Johan Ekström , Edvin G. Idrisov , Thomas L. Schmidt

The current response to an electromagnetic field in a Weyl or Dirac semimetal becomes nonlocal due to the chiral anomaly activated by an applied static magnetic field. The nonlocality develops under the conditions of the normal skin effect…

Mesoscale and Nanoscale Physics · Physics 2022-04-08 P. O. Sukhachov , L. I. Glazman
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