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The phonon induced anomalous Hall or thermal Hall effects have been observed in various systems in recent experiments. However, the theoretical studies on this subject are very scarce and incomplete. In this work, we present a systematic…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Jia-Xing Zhang , Wei Chen

Anomalous Hall crystals (AHCs) are exotic phases of matter that simultaneously break continuous translation symmetry and exhibit the quantum anomalous Hall effect. AHCs have recently been proposed to explain the observation of an integer…

Strongly Correlated Electrons · Physics 2026-04-28 Félix Desrochers , Mark R. Hirsbrunner , Joe Huxford , Adarsh S. Patri , T. Senthil , Yong Baek Kim

We study the causes of anomalous dispersion in Darcy-scale porous media characterized by spatially heterogeneous hydraulic properties. Spatial variability in hydraulic conductivity leads to spatial variability in the flow properties through…

Fluid Dynamics · Physics 2017-11-22 Alessandro Comolli , Marco Dentz

Despite being known for a long time the anomalous Hall effect still attracts attention because of its complex origins, its connection to topology and because it serves as a useful probe of the magnetic order. Here we study the anomalous…

Materials Science · Physics 2022-05-31 Jakub Železný , Yuta Yahagi , Carlés-Gomez Ollivella , Yang Zhang , Yan Sun

Anomalous Hall effect (AHE) is important for understanding the topological properties of electronic states, and provides insight into the spin-polarized carriers of magnetic materials. AHE has been extensively studied in metallic, but not…

Mesoscale and Nanoscale Physics · Physics 2014-06-24 R. M. Qiao , S. S. Yan , T. S. Xu , M. W. Zhao , Y. X. Chen , G. L. Liu , W. L. Yang , R. K. Zheng , L. M. Mei

Anomalous (or non-Fickian) diffusion has been widely found in fluid reactive transport and the traditional advection diffusion reaction equation based on Fickian diffusion is proved to be inadequate to predict this anomalous transport of…

Statistical Mechanics · Physics 2018-09-26 Hong Zhang , Guo-Hua Li

We develop a theoretical approach to study the scaling of anomalous Hall effect (AHE) in the insulating regime, which is observed to be $\sigma_{xy}^{AH}\propto\sigma_{xx}^{1.40\sim1.75}$ in experiments over a large range of materials. This…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Xiong-Jun Liu , Xin Liu , Jairo Sinova

Energy transport in one-dimensional chains of particles with three conservation laws is generically anomalous and belongs to the Kardar-Parisi-Zhang dynamical universality class. Surprisingly, some examples where an apparent normal heat…

Statistical Mechanics · Physics 2020-09-16 Stefano Lepri , Roberto Livi , Antonio Politi

We investigate the occurrence of anomalous diffusive transport associated with acoustic wave fields propagating through highly-scattering periodic media. Previous studies had correlated the occurrence of anomalous diffusion to either the…

Disordered Systems and Neural Networks · Physics 2019-03-27 Salvatore Buonocore , Mihir Sen , Fabio Semperlotti

The anomalous Hall effect (AHE) is highly sensitive to disorder in the metallic phase. Here we show that statistical correlations between the charge and spin disorder sectors strongly affect both the longitudinal conductivity and the…

Disordered Systems and Neural Networks · Physics 2019-09-25 Aydin Cem Keser , Roberto Raimondi , Dimitrie Culcer

The Hall effect arises when time reversal symmetry is broken by either intrinsic magnetism or an external magnetic field. The latter contribution dominates in non-magnetic materials, in which the angular dependence of the Hall effect is…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Joshua Mutch , Xuetao Ma , Chong Wang , Paul Malinowski , Joss Ayres-Sims , Qianni Jiang , Zhaoyu Liu , Di Xiao , Matthew Yankowitz , Jiun-Haw Chu

Under partial confinement, the motion of colloidal particles is restricted to a plane but their dynamics is influenced by hydrodynamic interactions mediated by the unconfined, three--dimensional flow of the embedding fluid. We demonstrate…

Soft Condensed Matter · Physics 2013-05-17 J. Bleibel , A. Dominguez , F. Günther , J. Harting , M. Oettel

Taking advantage of the anomalous Hall effect, we electrically probe low-frequency magnetization fluctuations at room temperature in a thin ferromagnetic Pt/Co/AlO$_x$ layer stack with perpendicular magnetic anisotropy. We observe a strong…

Mesoscale and Nanoscale Physics · Physics 2024-02-29 Nadine Nabben , Giacomo Sala , Ulrich Nowak , Matthias Krüger , Sebastian T. B. Goennenwein

We study the anomalous Hall effect in monolayers of transition-metal dichalcogenides 2H-$MX_2$ ($M$=Mo, W, and $X$=S, Se, Te) under a proximity effect of ferromagnetic substrate. If a proximity-induced exchange field is introduced, the…

Mesoscale and Nanoscale Physics · Physics 2017-08-10 Tetsuro Habe , Mikito Koshino

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

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 recent years, research and development in nanoscale science and technology have grown significantly, with electrical transport playing a key role. A natural challenge for its description is to shed light on anomalous behaviours observed…

Populations and Evolution · Quantitative Biology 2025-04-10 Sara Bernardi , Paolo Begnamino , Marco Pizzi , Lamberto Rondoni

Unexpected transport behavior can arise due to anisotropic single-particle scattering in multiband systems. Specifically, we show within a semiclassical Boltzmann approach beyond the relaxation-time approximation that anisotropic scattering…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 Maxim Breitkreiz , P. M. R. Brydon , Carsten Timm

We report on theoretical investigations of scattering asymmetry vs. incidence of carriers through exchange barriers and magnetic tunnel junctions made of semiconductors involving spin-orbit interaction. By an analytical 2?2 spin model, we…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 T. Huong Dang , H. Jaffrès , T. L. Hoai Nguyen , H. -J. Drouhin

While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without…