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The breaking of parity and time-reversal symmetry in two-dimensional Fermi liquids gives rise to non-dissipative transport features characterized by the Hall viscosity. In magnetic fields, the Hall viscous force directly competes with the…

Viscous phenomena are the hallmark of the hydrodynamic flow exhibited by Dirac fermions in clean graphene at high enough temperatures. We report a quantitative calculation of the electronic shear and Hall viscosities in graphene based on…

介观与纳米尺度物理 · 物理学 2019-07-31 B. N. Narozhny , M. Schütt

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…

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…

介观与纳米尺度物理 · 物理学 2025-05-14 A. A. Grigorev , A. N. Afanasiev

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…

强关联电子 · 物理学 2017-06-07 Thomas Scaffidi , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie , Joel E. Moore

The magnetotransport properties of a two-dimensional electron liquid in graphene are analyzed in the hydrodynamic limit under isothermal conditions. It is shown that the Wiedemann-Franz law does not hold in this regime and that the Lorenz…

介观与纳米尺度物理 · 物理学 2025-06-05 Alex Levchenko

We consider a hydrodynamic description of transport for generic two dimensional electron systems that lack Galilean invariance and do not fall into the category of Fermi liquids. We study magnetoresistance and show that it is governed only…

强关联电子 · 物理学 2017-11-13 Aavishkar A. Patel , Richard A. Davison , Alex Levchenko

We calculate the Hall viscosity and the nonlocal (i.e., dependent on wave vector $\bm q$) Hall conductivity of "gapped graphene" (a non-topological insulator with two valleys) in the presence of a strong perpendicular magnetic field. Using…

介观与纳米尺度物理 · 物理学 2019-09-17 Mohammad Sherafati , Giovanni Vignale

Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise…

介观与纳米尺度物理 · 物理学 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

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…

介观与纳米尺度物理 · 物理学 2017-11-06 Francesco M. D. Pellegrino , Iacopo Torre , Marco Polini

In high-quality conductors, the hydrodynamic regime of electron transport has been recently realized. In this work we theoretically investigate magnetotransport of a viscous electron fluid in samples with electron-impermeable obstacles. We…

介观与纳米尺度物理 · 物理学 2023-08-01 P. S. Alekseev , A. P. Dmitriev

We develop a unified viscous hydrodynamics for charge and valley transport in gapped graphene in the quantum Hall regime. We redefine Hall viscosity as a response to static electric-field gradients instead of strain, establishing a…

介观与纳米尺度物理 · 物理学 2025-10-02 Danyu Shu , Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

We develop a hydrodynamic theory for an electron system exhibiting the anomalous Hall effect, and show that an additional anomalous Hall effect is induced by a vorticity generated near boundaries. We calculate the momentum flux and force…

介观与纳米尺度物理 · 物理学 2021-07-28 Hiroshi Funaki , Riki Toshio , Gen Tatara

In conductors with a very small density of defects, electrons at low temperatures collide predominantly with the edges of a sample. Therefore, the ballistic regime of charge and heat transport is realized. The application of a perpendicular…

介观与纳米尺度物理 · 物理学 2022-04-06 A. N. Afanasiev , P. S. Alekseev , A. A. Greshnov , M. A. Semina

We consider hydrodynamic electron transport in the Hall-bar geometry. The theory is developed for systems with non-Galilean-invariant electron liquids. We show that inhomogeneity of the electron density induced by long-range disorder and…

介观与纳米尺度物理 · 物理学 2022-04-27 Songci Li , A. V. Andreev , Alex Levchenko

In ultra-pure materials electrons may exhibit a collective motion similar to the hydrodynamic flow of a viscous fluid, the phenomenon with far reaching consequences in a wide range of many body systems from black holes to high-temperature…

介观与纳米尺度物理 · 物理学 2020-06-01 Sven Danz , Boris N. Narozhny

We formulate a general framework to study the flow of the electron liquid in two dimensions past a random array of impenetrable obstacles in the presence of a magnetic field. We derive a linear-response formula for the resistivity tensor…

介观与纳米尺度物理 · 物理学 2023-10-31 I. V. Gornyi , D. G. Polyakov

The present article has addressed the finite magnetic field extension of the previous work by Cho et al. (Phys. Rev. B 108, 235172, 2023) on microscopic calculation of shear viscosity for electron fluid in graphene system. Our calculation…

强关联电子 · 物理学 2026-03-12 Cho Win Aung , Thandar Zaw Win , Subhalaxmi Nayak , Sabyasachi Ghosh

Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultra-high mobilities up to room temperature, we present a theoretical study of dc transport in doped graphene in the hydrodynamic regime. By using the…

介观与纳米尺度物理 · 物理学 2015-11-10 Iacopo Torre , Andrea Tomadin , Andre K. Geim , Marco Polini

We derive the system of hydrodynamic equations governing the collective motion of massless fermions in graphene. The obtained equations demonstrate the lack of Galilean- and Lorentz invariance, and contain a variety of nonlinear terms due…

介观与纳米尺度物理 · 物理学 2014-09-01 D. Svintsov , V. Vyurkov , V. Ryzhii , T. Otsuji
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