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Two-dimensional Fermi liquids at low temperatures have been theoretically established to exhibit an odd-even effect in the collective quasiparticle relaxation rates where even-parity deformations of the Fermi surface decay at a much faster…

Strongly Correlated Electrons · Physics 2026-03-09 Jeff Maki , Johannes Hofmann

Hydrodynamics is a new paradigm of electron transport in high-mobility devices, where frequent electron collisions give rise to a collective electron flow profile. However, conventional descriptions of these flows, which are based on the…

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

Two-dimensional electron gases are predicted to possess an anomalous ''tomographic'' transport regime that is marked by an odd-even effect in the relaxation times, with odd-parity deformations of the Fermi surface becoming long-lived in…

Quantum Gases · Physics 2025-08-12 Jeff Maki , Ulf Gran , Johannes Hofmann

We develop an analytically solvable model for interacting two-dimensional Fermi liquids with separate collisional relaxation rates for parity-odd and parity-even Fermi surface deformations. Such a disparity of collisional lifetimes exists…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Johannes Hofmann , Sankar Das Sarma

In experiments on electron transport the macroscopic inhomogeneities in the sample play a fundamental role. In this paper and a subsequent one we introduce and develop a general formalism that captures the principal features of sample…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Karmakar , M. R. Gokhale , A. P. Shah , B. M. Arora , D. T. N. de Lang , A. de Visser , L. A. Ponomarenko , A. M. M. Pruisken

Low density two-dimensional electron gases (2DEGs) with spin-orbit coupling are highly sensitive to an in-plane magnetic field, which impacts their Fermi surfaces and transport properties. Such 2DEGs, formed at transition metal oxide…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Nazim Boudjada , Ilia Khait , Arun Paramekanti

Clean two-dimensional Fermi liquids are now known to exhibit an intermediate \emph{tomographic} regime, between ballistic and Navier--Stokes transport, caused by the anomalously slow relaxation of parity-odd multipolar deformations of the…

Strongly Correlated Electrons · Physics 2026-03-30 Davis Thuillier , Thomas Scaffidi

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

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

Recent renewed interest in layered transition metal dichalcogenides stems from the exotic electronic phases predicted and observed in the single- and few-layer limit. Realizing these electronic phases requires preserving the desired…

Materials Science · Physics 2016-06-21 J. M. Woods , J. Shen , P. Kumaravadivel , Y. Pang , Y. Xie , G. A. Pan , M. Li , E. I. Altman , L. Lu , J. J. Cha

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

The $T^2$-scaling of resistivity with temperature is often viewed as a classic hallmark of a Fermi-liquid (FL) behavior in metals. However, if umklapp scattering is suppressed, this scaling is not universally guaranteed to occur. In this…

Strongly Correlated Electrons · Physics 2025-07-16 Tatia Kiliptari , Dmitrii L. Maslov

We investigate quantum dynamics and kinetics of a 2D conductor with closed Fermi surface reconstructed by a biaxial density wave, in which electrons move along a two-dimensional periodic net of semiclassical trajectories coupled by the…

Strongly Correlated Electrons · Physics 2021-10-28 A. M. Kadigrobov , B. Keran , D. Radić

Cosmic magnetic fields are typically inhomogeneous and often highly tangled due to large-scale plasma flows, turbulence, and instabilities. If the variations in the magnetic field occur on scales that are large compared to the gyro-radius…

Microscopic theories of magnetoresistance have traditionally focused on momentum relaxation and the plasma frequency of itinerant electrons. Here, we uncover a distinct mechanism in which magnetoresistance originates from quantum…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Xian-Peng Zhang , Yan-Qing Feng , Haiwen Liu , Yugui Yao

A precise characterization of the recently discovered crossover to hydrodynamic transport in electron liquids, and in particular of a conjectured exotic odd-parity transport regime, requires a full solution of the Fermi-liquid collision…

Mesoscale and Nanoscale Physics · Physics 2023-09-12 Johannes Hofmann , Ulf Gran

Many phenomenological and effective field-theoretical (EFT) applications of magnetohydrodynamics (MHD) in the presence of a background magnetic field employ a simplifying assumption whereby the electromagnetic and the energy-momentum…

High Energy Physics - Theory · Physics 2025-10-15 Giorgio Frangi , Matej Bajec , Guri K. Buza , Alexander Soloviev , Sašo Grozdanov

Transition-metal dichalcogenides (TMDs) are layered compounds that support many electronic phases, including various charge density waves, superconducting, and Mott insulating states. Their intercalation with magnetic ions introduces…

Nonequilibrium transport measurements in mesoscopic quasi-ballistic 2D electron systems show an enhancement in the differential conductance around the Fermi energy. At very low temperatures, such a zero-bias anomaly splits, leading to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arindam Ghosh , Matthew Wright , Christophe Siegert , Michael Pepper , Ian Farrer , Chris Ford , David Ritchie

Quantum transport in inhomogeneous magnetic fields is investigated numerically in two-dimensional systems using the equation of motion method. In particular, the diffusion of electrons in random magnetic fields in the presence of additional…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki
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