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We present the theory of quasiparticle transport in perturbatively small inhomogeneous magnetic fields across the ballistic-to-hydrodynamic crossover. In the hydrodynamic limit, the resistivity $\rho$ generically grows proportionally to the…

Strongly Correlated Electrons · Physics 2018-03-21 Andrew Lucas

Good metals are characterised by diffusive transport of coherent quasi-particle states and the resistivity is much less than the Mott-Ioffe-Regel (MIR) limit, $\frac{ha}{e^{2}}$, where $a$ is the lattice constant. In bad metals, such as…

Strongly Correlated Electrons · Physics 2015-06-22 Nandan Pakhira , Ross H. McKenzie

Thermal energy can be conducted by different mechanisms including by single particles or collective excitations. Thermal conductivity is system-specific and shows a richness of behaviors currently explored in different systems including…

Statistical Mechanics · Physics 2021-02-03 K. Trachenko , M. Baggioli , K. Behnia , V. V. Brazhkin

We develop a hydrodynamic description of the resistivity and magnetoresistance of an electron liquid in a smooth disorder potential. This approach is valid when the electron-electron scattering length is sufficiently short. In a broad range…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 A. V. Andreev , Steven A. Kivelson , B. Spivak

We study Coulomb drag between an active layer with a clean electron liquid and a passive layer with a pinned electron lattice in the regime of fast intralayer equilibration. Such a two-fluid system offers an experimentally realizable way to…

Strongly Correlated Electrons · Physics 2019-12-17 Tobias Holder

Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is $1/\tau_\text{tr} = 2\pi \lambda T$, where $\lambda$ is a dimensionless strength of…

Strongly Correlated Electrons · Physics 2023-05-16 Chaitanya Murthy , Akshat Pandey , Ilya Esterlis , Steven A. Kivelson

Non-Fermi liquid behaviour in single-crystalline U2Pt2In has been studied by means of resistivity experiments (I||c) under hydrostatic pressure (P<1.5 GPa). At ambient pressure the resistivity rho(T) follows a power law rho~T^alpha with…

Strongly Correlated Electrons · Physics 2009-10-31 P. Estrela , T. Naka , A. de Visser , F. R. de Boer , L. C. J. Pereira , M. Almeida

Electron transport is conventionally determined by the momentum-relaxing scattering of electrons by the host solid and its excitations. The electrical resistance is set by geometrical factors and the resistivity, which is a microscopic…

Strongly Correlated Electrons · Physics 2016-04-27 Philip J. W. Moll , Pallavi Kushwaha , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie

The electrical resistivity of liquid hydrogen has been measured at the high dynamic pressures, densities and temperatures that can be achieved with a reverberating shock wave. The resulting data are most naturally interpreted in terms of a…

Materials Science · Physics 2009-10-30 W. J. Nellis , A. A. Louis , N. W. Ashcroft

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov

We study the hydrodynamic flow of electrons through a smooth potential energy landscape in two dimensions, for which the electrical current is concentrated along thin channels that follow percolating equipotential contours. The width of…

Strongly Correlated Electrons · Physics 2024-05-24 Aaron Hui , Calvin Pozderac , Brian Skinner

We study the transport properties of a long non-uniform quantum wire where the electron-electron interactions and the density vary smoothly at large length scales. We show that these inhomogeneities lead to a finite resistivity of the wire,…

Mesoscale and Nanoscale Physics · Physics 2008-04-08 J. Rech , K. A. Matveev

A long standing mystery of fundamental importance in correlated electron physics is to understand strange non-Fermi liquid metals that are seen in diverse quantum materials. A striking experimental feature of these metals is a resistivity…

Strongly Correlated Electrons · Physics 2021-08-19 Dominic V. Else , T. Senthil

New non-linear, spatially periodic, long wavelength electrostatic modes of an electron fluid oscillating against a motionless ion fluid (Langmuir waves) are given, with viscous and resistive effects included. The cold plasma approximation…

Plasma Physics · Physics 2010-05-28 A. A. Skorupski , E. Infeld

Recent experiments have observed hints of hydrodynamic electron flow in a number of materials, not all of which have an isotropic Fermi surface. We revisit these experiments in $\mathrm{PdCoO}_2$, a quasi-two-dimensional material whose…

Strongly Correlated Electrons · Physics 2019-07-03 Caleb Q. Cook , Andrew Lucas

Inspired by the recent experimental signatures of relativistic hydrodynamics in graphene, we investigate theoretically the behavior of hydrodynamic sound modes in such quasi-relativistic fluids near charge neutrality, within linear…

Strongly Correlated Electrons · Physics 2016-07-06 Andrew Lucas

Detecting hydrodynamic fingerprints in the flow of electrons in solids constitutes a dynamic field of investigation in contemporary condensed matter physics. Most attention has been focused on the regime near the degeneracy temperature when…

Strongly Correlated Electrons · Physics 2021-01-11 Alexandre Jaoui , Benoît Fauqué , Kamran Behnia

Electrical resistance usually originates from lattice imperfections. However, even a perfect lattice has a fundamental resistance limit, given by the Landauer conductance caused by a finite number of propagating electron modes. This…

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…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

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…

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