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We present an overview of our recent work on transport phenomena in Weyl metals, which may be connected to their nontrivial topological properties, particularly to chiral anomaly. We argue that there are two basic phenomena, which are…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. A. Burkov

We establish that the interplay of itinerant fermions with localized magnetic moments on a checkerboard lattice leads to magnetic flux-phases. For weak itineracy the flux-phase is coplanar and the electronic dispersion takes the shape of…

Strongly Correlated Electrons · Physics 2015-06-04 Jörn W. F. Venderbos , Maria Daghofer , Jeroen van den Brink , Sanjeev Kumar

The transverse current (j_H) due to anomalous Hall effect (AHE) is usually assumed to be perpendicular to the magnetization (m) in ferromagnetic materials, which governs the experiments in spintronics. Generally, this assumption is derived…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Lulu Li , Junwen Sun , Lei Wang , X. R. Wang , Ke Xia

Spontaneous breaking of time-reversal symmetry in superconductors with the $p_x+ip_y$ symmetry of the order parameter allows for a class of effects which are analogous to the anomalous Hall effect in ferromagnets. These effects exist below…

Superconductivity · Physics 2016-05-12 Songci Li , A. V. Andreev , B. Z. Spivak

Using derivative expansion applied to the Wigner transform of the two - point Green function we analyse the anomalous quantum Hall effect (AQHE), and the chiral magnetic effect (CME). The corresponding currents are proportional to the…

Mesoscale and Nanoscale Physics · Physics 2021-04-23 M. A. Zubkov

Chiral active fluids are known to have anomalous transport properties such as the so-called odd viscosity. In this paper, we provide a microscopic mechanism for how such anomalous transport coefficients can emerge. We construct an…

Statistical Mechanics · Physics 2019-11-22 Zhenghan Liao , Ming Han , Michel Fruchart , Vincenzo Vitelli , Suriyanarayanan Vaikuntanathan

Topological insulators doped with transition metals have recently been found to host a strong ferromagnetic state with perpendicular to plane anisotropy as well as support a quantum Hall state with edge channel transport, even in the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Grauer , S. Schreyeck , M. Winnerlein , K. Brunner , C. Gould , L. W. Molenkamp

Intrinsic anomalous Hall effect (AHE) formulated by geometric properties of Bloch wavefunctions is a ubiquitous transport phenomenon not limited to magnetic systems but also allowed in non-magnetic ones under an external field breaking…

The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate…

High Energy Physics - Theory · Physics 2017-04-05 Christian Copetti , Jorge Fernández-Pendás , Karl Landsteiner

The origin of anomalous Hall effect (AHE) in magnetic materials is one of the most intriguing aspect in condensed matter physics and has been controversial for a long time. Recent studies indicate that the intrinsic AHE is closely related…

Strongly Correlated Electrons · Physics 2018-09-13 Qi Wang , Yuanfeng Xu , Rui Lou , Zhonghao Liu , Man Li , Yaobo Huang , Dawei Shen , Hongming Weng , Shancai Wang , Hechang Lei

The electric charge transport in a weakly magnetized hot QCD medium has been investigated in the presence of an external inhomogeneous electric field. The current densities (electric and Hall)induced by the inhomogeneous electric field have…

High Energy Physics - Phenomenology · Physics 2021-04-28 Gowthama K K , Manu Kurian , Vinod Chandra

We present a unified theory of charge carrier transport in 2D Dirac systems with broken mirror inversion and time-reversal symmetries (e.g., as realized in ferromagnetic graphene). We find that the entanglement between spin and pseudospin…

Mesoscale and Nanoscale Physics · Physics 2018-09-21 Manuel Offidani , Aires Ferreira

This thesis is devoted to properties of quark matter at high density and (comparatively) low temperature, which might exist in the interior of compact stars. The specific heat and the quark self energy in normal quark matter are discussed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Gerhold

We study the effects of spatial dispersion in disordered noncentrosymmetric metals. These include the kinetic magnetoelectric effect, natural optical activity of metals, as well as the so-called dynamic chiral magnetic effect as a…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 J. Rou , C. Şahin , J. Ma , D. A. Pesin

As in conventional ferromagnets, the Hall resistivity rho_xy of a La_{2/3}(Ca,Pb)_{1/3}MnO_3 single crystal exhibits both ordinary and anomalous contributions at low temperature. However, these contributions, unexpectedly, have opposite…

Strongly Correlated Electrons · Physics 2009-10-31 S. H. Chun , M. B. Salamon , P. D. Han , Y. Lyanda-Geller , P. M. Goldbart

Applying time-varying magnetic fields to Weyl metals, a pair of Weyl points become oscillating. This oscillating monopole and anti-monopole pair gives rise to AC Berry magnetic fields, responsible for the emergence of Berry electric fields,…

Strongly Correlated Electrons · Physics 2017-02-28 Iksu Jang , Jaeho Han , Ki-Seok Kim

In order to investigate whether space coordinates are intrinsically noncommutative, we make use of the Hall effect on the two-dimensional plane. We calculate the Hall conductivity in such a way that the noncommutative U(1) gauge invariance…

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

We consider a two-dimensional electron gas in an inversion asymmetric layer and in the presence of spatially distributed magnetic impurities. We investigate the relationship between the geometrical properties of the wave-function and the…

Mesoscale and Nanoscale Physics · Physics 2012-12-21 T. L. van den Berg , L. Raymond , A. Verga

A large anomalous Hall effect (AHE) has recently been observed in the intercalated transition metal dichalcogenide (TMDC) Co$_{1/3}$NbS$_{2}$ below a known magnetic phase transition at $T_N$ = 29 K. The spins in this material are widely…

We review our recent works on the quantum transport, mainly in topological semimetals and also in topological insulators, organized according to the strength of the magnetic field. At weak magnetic fields, we explain the negative…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 Hai-Peng Sun , Hai-Zhou Lu