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Inspired by recent experiments by Geim et al. we discuss the classical theory of the Hall effect of a 2 dimensional electron gas in an inhomogeneous magnetic field. The field modulation is in the form of flux tubes created by a…

Condensed Matter · Physics 2016-08-14 Kasper Juel Eriksen , Per Hedegård

The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

Bismuth, the heaviest of all group V elements with strong spin-orbit coupling, is famously known to exhibit many interesting transport properties, and effects such as Shubnikov-de Haas and de Haas-van Alphen were first revealed in its bulk…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Oulin Yu , Sujatha Vijayakrishnan , R. Allgayer , T. Szkopek , G. Gervais

Nonreciprocal or nonlinear responses in symmetry-broken systems are powerful probes of emergent properties in quantum materials, including superconductors, magnets, and topological materials. Recently, vortex matter has been recognized as a…

The topological Hall effect in magnetic materials is considered the ultimate trademark of the skyrmion phase. The phenomenon is identified by distinct non-monotonic features in the Hall effect signal presumed to be the evidence of the…

Materials Science · Physics 2019-01-30 Alexander Gerber

It is commonly believed that the current response of an electron fluid to a mechanical force (such as an electric field) or to a ``statistical force" (e.g., a gradient of chemical potential) are governed by a single linear transport…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Justin C. W. Song , Giovanni Vignale

Non-monotonic dependence of anomalous Hall resistivity on temperature and magnetization, including a sign change, was observed in Fe/Gd bilayers. To understand the intriguing observations, we fabricated the Fe/Gd bilayers and single layers…

Materials Science · Physics 2011-06-01 W. J. Xu , B. Zhang , Z. X. Liu , Z. Wang , W. Li , Z. B. Wu , R. H. Yu , X. X. Zhang

We investigate the emergence of topological Hall-like (THE-like) signals in disordered multidomain ferromagnets. Non-monotonic behavior in Hall resistivity, commonly attributed to topological spin textures such as skyrmions, is produced in…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Houssam Sabri , Benjamin E. Carlson , Sergey S. Pershoguba , Jiadong Zang

Hall effects have been employed as sensitive detectors of magnetic fields and magnetizations. In spintronics, exotic phenomena often emerge from a non-equilibrium spin polarization or magnetization, that is very difficult to measure…

Mesoscale and Nanoscale Physics · Physics 2016-08-04 Dazhi Hou , Z. Qiu , R. Iguchi , K. Sato , K. Uchida , G. E. W. Bauer , E. Saitoh

The anomalous Hall effect is investigated experimentally and theoretically for ferromagnetic thin films of Mn$_5$Ge$_3$. We have separated the intrinsic and extrinsic contributions to the experimental anomalous Hall effect, and calculated…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Changgan Zeng , Yugui Yao , Qian Niu , Hanno H. Weitering

Building on previous work, we calculate the temperature- and frequency-dependent {\it anomalous} Hall conductivity for the putative multiband chiral superconductor $\Sr$ using a simple microscopic two-orbital model without impurities. A…

Superconductivity · Physics 2013-08-01 Edward Taylor , Catherine Kallin

We point out that nontrivial quantumstatistics of vortices in planar superfluid systems has its origin in the Schrodinger equation rather then the Chern-Simons term. Vortices in superfluid helium films are not anyons because helium films…

Condensed Matter · Physics 2008-02-03 Jacek Dziarmaga

We show how particle-vortex duality implies the existence of a large non-abelian discrete symmetry group which relates the electromagnetic response for dual two-dimensional systems in a magnetic field. For conductors with charge carriers…

High Energy Physics - Theory · Physics 2009-12-10 C. P. Burgess , B. Dolan

The original motivation of great interest to topological insulators was the hope to observe the quantum spin Hall effect. Therefore if a material is in the topological insulator state they frequently call it the quantum spin Hall state.…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. B. Sonin

The heavy fermion systems present a unique platform in which strong electronic correlations give rise to a host of novel, and often competing, electronic and magnetic ground states. Amongst a number of potential experimental tools at our…

Strongly Correlated Electrons · Physics 2012-10-18 Sunil Nair , S. Wirth , S. Friedemann , F. Steglich , Q. Si , A. J. Schofield

We study the quantum anomalous Hall effect described by a class of two-component Haldane models on square lattices. We show that the latter can be transformed into a pseudospin triplet p+ip-wave paired superfluid. In the long wave length…

Strongly Correlated Electrons · Physics 2015-03-17 Xuele Liu , Ziqiang Wang , X. C. Xie , Yue Yu

The theory and experiments showing Quantum Hall effect in the quasi-one-dimensional conductors of the Bechgaard salts family are briefly reviewed. The sign reversals observed under some experimental conditions are explained within the…

Condensed Matter · Physics 2007-05-23 G. Montambaux , D. Zanchi

Motivated by recent experiments showing evidence for chiral superconductivity in an anomalous Hall phase of tetralayer graphene, we study the relation between the normal state anomalous Hall conductivity and that in the phase disordered…

Superconductivity · Physics 2024-11-15 Jay D. Sau , Shuyang Wang

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

The search for exotic spin configurations and related novel transport properties continues to be fueled by the promise of new electronic states and outstanding candidate components for spintronic applications. In layered…

Materials Science · Physics 2024-04-02 Bowen Chen , Xiaokai Wu , Zhiyu Liao , Zhendong Fu , Bing Xu , Meng Wang , Bing Shen