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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

In ultra-clean 2d materials electron viscosity is as important as Ohmic dissipation and electron transport exhibits hydrodynamic features. Using a simple framework of Brinkman equations we find that hydrodynamic electron flows exhibit a…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Jarosław Pawłowski , Piotr Surówka , Konstantin Zarembo

We investigate the phononic energy transport properties of mesoscopic, suspended dielectric wires. The Landauer formula for the thermal conductance is derived and its universal aspects discussed. We then determine the variance of the energy…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Blencowe

In a high mobility two-dimensional electron gas (2DEG) in a GaAs/AlGaAs quantum well we observe a strong magnetoresistance. In lowering the electron density the magnetoresistance gets more pronounced and reaches values of more than 300%. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 L. Bockhorn , P. Barthold , D. Schuh , W. Wegscheider , R. J. Haug

The viscous flow of electrons in a narrow channel requires both strong electron-electron interactions and no-slip boundary conditions. However, introducing obstacles within the liquid can significantly increase flow resistance and, as a…

Mesoscale and Nanoscale Physics · Physics 2025-03-07 A. D. Levin , G. M. Gusev , V. A. Chitta , Z. D. Kvon , A. S. Jaroshevich , D. E. Utkin , D. V. Dmitriev , A. K. Bakarov

The three-dimensional nonlinear dynamics of an electron gas in a semiconductor quantum well is analyzed in terms of a self-consistent fluid formulation and a variational approach. Assuming a time-dependent localized profile for the fluid…

Plasma Physics · Physics 2015-06-05 F. Haas

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall…

Condensed Matter · Physics 2007-05-23 Choon-Lin Ho , V. R. Khalilov , Chi Yang

We present an overview of the measured transport properties of the two dimensional electron fluids in high mobility semiconductor devices with low electron densities, and of some of the theories that have been proposed to account for them.…

Disordered Systems and Neural Networks · Physics 2010-06-01 B. Spivak , S. V. Kravchenko , S. A. Kivelson , X. P. A. Gao

The pursuit for clearly identifiable signatures of viscous electron flow in the solid state systems has been a paramount task in the search of the hydrodynamic electron transport behavior. In this work, we investigate theoretically the…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Songci Li , Alex Levchenko

We show theoretically that the strong interaction of a two-dimensional electron gas (2DEG) with a dressing electromagnetic field drastically changes its transport properties. Particularly, the dressing field leads to the giant increase of…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 S. Morina , O. V. Kibis , A. A. Pervishko , I. A. Shelykh

In sufficiently clean metals, it is possible for electrons to collectively flow as a viscous fluid at finite temperature. These viscous effects have been predicted to give a notable magnetoresistance, but whether the magnetoresistance is…

Strongly Correlated Electrons · Physics 2020-01-29 Ipsita Mandal , Andrew Lucas

Ultra-pure conductors may exhibit hydrodynamic transport where the collective motion of charge carriers resembles the flow of a viscous fluid. In a confined geometry (e.g., in ultra-high quality nanostructures) the electronic fluid assumes…

Strongly Correlated Electrons · Physics 2018-02-14 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Titov

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…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 P. S. Alekseev , A. P. Dmitriev

Fluid dynamics is one of the cornerstones of modern physics and has recently found applications in the transport of electrons in solids. In most solids electron transport is dominated by extrinsic factors, such as sample geometry and…

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…

Mesoscale and Nanoscale Physics · Physics 2020-06-01 Sven Danz , Boris N. Narozhny

We present thermopower $S$ and resistance $R$ measurements on GaAs-based mesoscopic two-dimensional electron gases (2DEGs) as functions of the electron density $n_s$. At high $n_s$ we observe good agreement between the measured $S$ and…

Mesoscale and Nanoscale Physics · Physics 2015-04-27 Vijay Narayan , Eugene Kogan , Chris Ford , Michael Pepper , Moshe Kaveh , Jonathan Griffiths , Geb Jones , Harvey Beere , Dave Ritchie

Recent theoretical results on transport in a two-dimensional disordered electron liquid with spin and isospin degrees of freedom are reviewed. A number of experimental features in temperature dependence of resistivity at low temperatures in…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 I. S. Burmistrov

Materials with strongly-correlated electrons exhibit interesting phenomena such as metal-insulator transitions and high-temperature superconductivity. In stark contrast to ordinary metals, electron transport in these materials is thought to…

Strongly Correlated Electrons · Physics 2019-11-19 J. Gooth , F. Menges , C. Shekhar , V. Süß , N. Kumar , Y. Sun , U. Drechsler , R. Zierold , C. Felser , B. Gotsmann

We present magnetotransport measurements on freely suspended two-dimensional electron gases from AlGaAs/GaAs heterostructures. The technique to realize such devices relies on a specially MBE grown GaAs/AlGaAs-heterostructure including a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. H. Blick , F. G. Monzon , W. Wegscheider , M. Bichler , F. Stern , M. L. Roukes

In ultra-high quality two-dimensional (2D) materials the mean free paths of phonons and electrons relative to all mechanisms of scattering can be much greater than a size of a sample. In this case the most intensive type of scattering of…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 P. S. Alekseev , M. A. Semina