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In our short review, we consider the transport properties of strongly correlated Fermi systems like heavy fermion metals and high-$T_c$ superconductors. Their transport properties are defined by strong inter-particle interaction forming…

Strongly Correlated Electrons · Physics 2023-11-16 V. R. Shaginyan , A. Z. Msezane , M. V. Zverev

The recent discoveries of surperisingly large anomalous Hall effect in chiral antiderromagnets have triggered extensive research efforts in various fields, ranging from topological condensed-matter physics to antiferromagnetic spintronics,…

Materials Science · Physics 2024-02-27 Linxuan Song , Feng Zhou , Hang Li , Bei Ding , Xue Li , Xuekui Xi , Yuan Yao , Yong-Chang Lau , Wenhong Wang

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

The parity anomaly for Dirac fermions in two spatial dimensions has shaped perspectives in quantum field theory and condensed matter physics. In condensed matter it has evolved as a mechanism for half-quantized Hall responses in systems…

Strongly Correlated Electrons · Physics 2026-04-10 Shun-Qing Shen

Appropriate symmetry breaking generates an anomalous Hall (AH) effect, even in antiferromagnetic (AFM) materials. Itinerant magnets with $d$ electrons are typical examples that show a significant response. By contrast, the process by which…

Strongly Correlated Electrons · Physics 2024-09-09 Hisashi Kotegawa , Hiroto Tanaka , Yuta Takeuchi , Hideki Tou , Hitoshi Sugawara , Junichi Hayashi , Keiki Takeda

We present a composite fermion theory of tunneling into the edge of a compressible quantum Hall system. The tunneling conductance is non-ohmic, due to slow relaxation of electromagnetic and Chern-Simons field disturbances caused by the…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 A. V. Shytov , L. S. Levitov , B. I. Halperin

The imaginary part of the quantum geometric tensor is the Berry curvature, while the real part is the quantum metric. Dirac fermions derived from a tight-binding model naturally contains a mass term $m(k)$ with parabolic dispersion, $m(k)=$…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Motohiko Ezawa

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

Magnetic topological semimetals often exhibit unusual electronic and thermal transport due to nontrivial bulk band crossings, enabling simultaneous realization of large anomalous Hall and Nernst conductivities ($\sigma_{xy}$ and…

We investigate the conductance and thermopower of massless Dirac fermions through a quantum dot using a pseudogap Anderson model in the non-crossing approximation. When the Fermi level is at the Dirac point, the conductance has a cusp where…

Mesoscale and Nanoscale Physics · Physics 2013-07-17 Tomosuke Aono

In this paper, we discuss the effect of a periodically driving circularly polarized laser beam in the high frequency limit, on the band structure and thermal transport properties of type-I and type-II Weyl semimetals (WSMs). We develop the…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Anirudha Menon , Debashree Chowdhury , Banasri Basu

The recent prediction, and subsequent discovery, of the quantum anomalous Hall (QAH) effect in thin films of the three-dimensional ferromagnetic topological insulator (MTI) (Cr$_y$Bi$_x$Sb$_{1-x-y}$)$_2$Te$_3$ has opened new possibilities…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 I. T. Rosen , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We present a detailed theory for finite-frequency conductivities Re$[\sigma_{\alpha\beta}(\omega)]$ of quantum Hall stripes, which form at Landau level $N\geq 2$ close to half filling, in the presence of weak Gaussian disorder. We use an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mei-Rong Li , H. A. Fertig , R. Cote , Hangmo Yi

We report experimental studies of disorder-induced transitions between quantum-Hall, metallic, and insulating states in a very dilute two-dimensional electron system in silicon at a magnetic field corresponding to Landau level filling…

Condensed Matter · Physics 2009-10-28 J. E. Furneaux , S. V. Kravchenko , Whitney Mason , G. E. Bowker , V. M. Pudalov

We study the conductivity of a 3D disordered metal close to the antiferromagnetic instability within the framework of the spin-fermion model using the diagrammatic technique. We calculate the interaction correction $\delta\sigma(\omega,T)$…

Strongly Correlated Electrons · Physics 2013-05-30 S. V. Syzranov , J. Schmalian

The anomalous spin transport coefficients of gapped Dirac electrons are studied with application to a quasi-two-dimensional organic conductor $\alpha$-(BETS)$_2$I$_3$ in mind. In the presence of a gap induced by spin-orbit interaction, we…

Mesoscale and Nanoscale Physics · Physics 2022-02-04 Masao Ogata , Soshun Ozaki , Hiroyasu Matsuura

We have measured the temperature dependence of the conductivity $\sigma_{xx}$ of a two-dimensional electron system deep into the localized regime of the quantum Hall plateau transition. Using variable-range hopping theory we are able to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Hohls , U. Zeitler , R. J. Haug

The magnetic-induced orbital motion of quasiparticles affects the conductance properties of a hybrid strip of a quantum-anomalous-Hall topological material with induced superconductivity. We elucidate the scenario of topological NSN ideal…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Javier Osca , Llorenç Serra

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The electric conductivity of Dirac electrons in the organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$ [BEDT-TTF = bis(ethylenedithio)tetrathiafulvalene] under pressure has been examined using a two-dimensional tight-binding (TB) model with…

Mesoscale and Nanoscale Physics · Physics 2021-03-30 Yoshikazu Suzumura , Masao Ogata
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