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We study transport phenomena cross-correlated among the heat and electric currents of magnons and Dirac electrons on the surface of ferromagnetic topological insulators. For a perpendicular magnetization, we calculate magnon- (electron-)…

介观与纳米尺度物理 · 物理学 2018-07-23 Yusuke Imai , Hiroshi Kohno

Despite the fact that conserved currents have dimensions that are determined solely by dimensional analysis (and hence no anomalous dimensions), Nature abounds in examples of anomalous diffusion in which $L\propto t^\gamma$, with $\gamma\ne…

高能物理 - 理论 · 物理学 2021-03-17 Matteo Baggioli , Gabriele La Nave , Philip W. Phillips

We derive the topological Chern number of the integer quantum Hall effect in electrical conductivity, using Buot's superfield and lattice Weyl transform nonequilibrium quantum transport formalism. The method is naturally straightforward,…

介观与纳米尺度物理 · 物理学 2021-03-23 Felix A. Buot

We revisit the relation between black hole geometries and chiral transport. Integrating the anomaly equation in a black hole geometry allows to derive the chiral transport coefficients for the thermal gas far from the horizon. The key…

高能物理 - 理论 · 物理学 2023-06-21 Karl Landsteiner , Sergio Morales-Tejera , Pablo Saura-Bastida

We revisit the transport properties induced by the chiral anomaly in a charged plasma holographically dual to anomalous $U(1)_V\times U(1)_A$ Maxwell theory in Schwarzschild-$AdS_5$. Off-shell constitutive relations for vector and axial…

高能物理 - 理论 · 物理学 2016-12-21 Yanyan Bu , Michael Lublinsky , Amir Sharon

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…

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic metal and is related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder…

介观与纳米尺度物理 · 物理学 2009-11-11 N. A. Sinitsyn , A. H. MacDonald , T. Jungwirth , V. K. Dugaev , Jairo Sinova

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…

超导电性 · 物理学 2016-05-12 Songci Li , A. V. Andreev , B. Z. Spivak

The interplay of magnetism and topology opens up the possibility for exotic linear response effects, such as the anomalous Hall effect and the anomalous Nernst effect, which can be strongly enhanced by designing a strong Berry curvature in…

材料科学 · 物理学 2020-03-30 Jonathan Noky , Yang Zhang , Claudia Felser , Yan Sun

The theory of the nonlinear Hall effect has been established by I. Sodemann and L. Fu [Phys. Rev. Lett. 115, 216806 (2015)] in a semiclassical framework: therein, the effect appears as a geometrical property of Bloch electrons, originating…

材料科学 · 物理学 2021-05-13 Raffaele Resta

Weyl semimetals (WSM) are topologically protected three dimensional materials whose low energy excitations are linearly dispersing massless Dirac fermions, possessing a non-trivial Berry curvature. Using semi-classical Boltzmann dynamics in…

强关联电子 · 物理学 2024-02-20 Gargee Sharma , Pallab Goswami , Sumanta Tewari

The Seebeck coefficient and electrical conductivity are two critical quantities to optimize simultaneously in designing thermoelectric materials, and they are determined by the dynamics of carrier scattering. We uncover a new regime where…

材料科学 · 物理学 2022-11-17 Natalya S. Fedorova , Andrea Cepellotti , Boris Kozinsky

We formulate a geometric framework that allows to study momentum and energy transport in non-relativistic systems. It amounts to coupling of the non-relativistic system to the Newton-Cartan geometry with torsion. The approach generalizes…

强关联电子 · 物理学 2015-02-16 Andrey Gromov , Alexander G. Abanov

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

介观与纳米尺度物理 · 物理学 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

In the quasi-stationary states of the Hamiltonian Mean-Field model, we numerically compute correlation functions of momenta and diffusion of angles with homogeneous initial conditions. This is an example, in a N-body Hamiltonian system, of…

统计力学 · 物理学 2007-05-23 Yoshiyuki Yamaguchi , Freddy Bouchet , Thierry Dauxois

We investigate transverse magnetic heat transport on the surface of a topological insulator on which a ferromagnet is attached. We present general expressions of the Nernst coefficient and the thermal Hall conductivity, which are reduced to…

介观与纳米尺度物理 · 物理学 2015-05-27 Takehito Yokoyama , Shuichi Murakami

Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in…

介观与纳米尺度物理 · 物理学 2022-01-21 Lan-Lan Gao , Xu-Guang Huang

Nonreciprocal transport in uniform systems has attracted great research interest recently and the existing theories mainly focus on the diffusive regime. In this study, we uncover a novel scenario for nonreciprocal charge transport in the…

介观与纳米尺度物理 · 物理学 2024-05-15 Minhao Zou , Hao Geng , Rong Ma , Wei Chen , Li Sheng , Dingyu Xing

In the study of the anomalous Hall effect, the scaling relations between the anomalous Hall and longitudinal resistivities play the central role. The scaling parameters by definition are fixed as the scaling variable (longitudinal…

介观与纳米尺度物理 · 物理学 2019-10-30 Cong Xiao , Hailong Zhou , Qian Niu