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Hydrodynamic-like electron flows are typically modeled using the Stokes-Ohm equation or a kinetic description that is based on a dual-relaxation time approximation. Such models assume a short intrinsic mean free path $\ell_e$ due to…

Mesoscale and Nanoscale Physics · Physics 2025-03-19 Nitay Ben-Shachar , Johannes Hofmann

We analyze optical conductivity of a clean two-dimensional electron system in a Fermi liquid regime near a $T=0$ Ising-nematic quantum critical point (QCP), and extrapolate the results to a QCP. We employ direct perturbation theory up to…

Strongly Correlated Electrons · Physics 2024-03-28 Yasha Gindikin , Andrey V. Chubukov

Fermi liquid theory has been a foundation in understanding the electronic properties of materials. For weakly interacting two-dimensional (2D) electron or hole systems, electron-electron interactions are known to introduce quantum…

Strongly Correlated Electrons · Physics 2023-06-30 Arvind Shankar Kumar , Chieh-Wen Liu , Shuhao Liu , Loren N. Pfeiffer , Kenneth W. West , Alex Levchenko , Xuan P. A. Gao

Hydrodynamics is a general description for the flow of a fluid, and is expected to hold even for fundamental particles such as electrons when inter-particle interactions dominate. While various aspects of electron hydrodynamics were…

Fermi gases in two dimensions display a surprising collective behavior originating from the head-on carrier collisions. The head-on processes dominate angular relaxation at not-too-high temperatures $T\ll T_F$ owing to the interplay of…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Patrick J Ledwith , Haoyu Guo , Andrey V Shytov , Leonid Levitov

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 investigate the low-temperature thermoelectric properties of three-dimensional nodal-line semimetals within the semiclassical Boltzmann formalism. Considering short-range interaction between electrons and scattering agents, we calculate…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Shahin Barati , Saeed H. Abedinpour

This paper is concerned with the weak-moment magnetism in heavy-fermion materials and its relation to the non-Fermi liquid physics observed near the transition to the Fermi liquid. We explore the hypothesis that the primary fluctuations…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Matthias Vojta , Subir Sachdev

A water monolayer squeezed between two solid planes experiences strong out-of-plane confinement effects while expanding freely within the plane. As a consequence, the transport of such two-dimensional water combines hydrodynamic and…

Materials Science · Physics 2023-07-06 Maxim Trushin , Alexandra Carvalho , A. H. Castro Neto

We examine nonlinear transport in a viscous two-dimensional electron fluid within narrow GaAs channels. The differential magnetoresistance shows nonmonotonic behavior, a signature of electron pairing in the hydrodynamic regime. Theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 A. D. Levin , G. M. Gusev , A. K. Bakarov

In this study, we present our experimental investigation on the magnetotransport properties of a two-dimensional electron system in GaAs quantum wells utilizing a variety of device geometries, including obstacles with thin barriers and…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 A. D. Levin , G. M. Gusev , A. S. Yaroshevich , Z. D. Kvon , A. K. Bakarov

It is shown that gauge theories with fermions are most naturally studied via a polar decomposition of the field variable. This is the fermionic analog of the preprint cond-mat/0210673. The hope is that these two put together will enable the…

Superconductivity · Physics 2007-05-23 Girish S. Setlur

The quantum-classical crossover from the Fermi liquid towards the Wigner solid is numerically revisited, considering small square lattice models where electrons interact via a Coulomb U/r potential. We review a series of exact numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jean-Louis Pichard , Giuliano Benenti , Georgios Katomeris , Franck Selva , Xavier Waintal

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. In this paper we briefly review the recent advances, both theoretical and experimental, in the…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 B. N. Narozhny , I. V. Gornyi , A. D. Mirlin , J. Schmalian

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

We develop a theory of Coulomb drag in ultraclean double layers with strongly correlated carriers. In the regime where the equilibration length of the electron liquid is shorter than the interlayer spacing the main contribution to the…

Strongly Correlated Electrons · Physics 2015-06-18 S. S. Apostolov , A. Levchenko , A. V. Andreev

Electron-electron interactions can induce Fermi surface deformations which break the point-group symmetry of the lattice structure of the system. In the vicinity of such a "Pomeranchuk instability" the Fermi surface is easily deformed by…

Strongly Correlated Electrons · Physics 2009-11-10 W. Metzner , D. Rohe , S. Andergassen

The recent demonstrations of viscous hydrodynamic electron flow in two-dimensional electron systems poses serious questions to the validity of existing transport theories, including the ballistic model, the collision-induced and…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Kirill Kapralov , Dmitry Svintsov

In nanostructures with two-dimensional (2D) electrons and very low defect densities, a hydrodynamic transport regime has recently been realized. In this regime, 2D electrons form a viscous fluid due to frequent electron-electron collisions.…

Mesoscale and Nanoscale Physics · Physics 2026-03-04 Yu. O. Alekseev , P. S. Alekseev , A. P. Dmitriev

We study hydrodynamic electron transport in Corbino graphene devices. Due to the irrotational character of the flow, the forces exerted on the electron liquid are expelled from the bulk. We show that in the absence of Galilean invariance,…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 Songci Li , Alex Levchenko , A. V. Andreev
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