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The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

We investigate the second-order anomalous Hall response in two-dimensional higher-wave symmetric magnets, including the recently discovered class of collinear magnets known as altermagnets, when subjected to a symmetry-breaking external…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

Puzzling results obtained from torque magnetometry in the quantum Hall effect (QHE) regime are presented, and a theory is proposed for their explanation. Magnetic moment saturation, which is usually attributed to the QHE breakdown, is shown…

Mesoscale and Nanoscale Physics · Physics 2008-09-25 K. V. Kavokin , M. E. Portnoi , A. J. Matthews , J. Gething , A. Usher , D. A. Ritchie , M. Y. Simmons

We study the quantum valley Hall effect and related domain wall modes in twisted bilayer graphene at a large commensurate angle. Due to the quantum valley and sub-valley Hall effect, a small deviation from the commensurate angle generates…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Chiranjit Mondal , Rasoul Ghadimi , Bohm-Jung Yang

In the normal state of high-Tc cuprates, the Hall coefficient shows remarkable temperature dependence, and its absolute value is enhanced in comparison with that value simply estimated on the basis of band structure. It has been recognized…

Superconductivity · Physics 2009-10-31 Kazuki Kanki , Hiroshi Kontani

We demonstrate that the differential magnetic susceptibility of a fractional quantum Hall disk, representing a Coulomb island in a Fabry--Perot interferometer, is exactly proportional to the island's conductance and its paramagnetic peaks…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Lachezar S. Georgiev

The thermoelectric Hall effect is the generation of a transverse heat current upon applying an electric field in the presence of a magnetic field. Here we demonstrate that the thermoelectric Hall conductivity $\alpha_{xy}$ in the…

Magnon thermal Hall effect in insulating magnets is the manifestation of Berry curvature in magnon bands, which is formulated using the emergent gauge fields that act on magnons as a fictitious magnetic field. In ferromagnets, it is…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Masataka Kawano , Chisa Hotta

A distinct thermal Hall signal is observed in a quantum spin liquid candidate Ba$_3$CuSb$_2$O$_9$. The transverse thermal conduction shows a power-law temperature dependence below 40 K where a spin gap opens. We suggest that, through the…

Non-interacting topological states of matter can be realized in band insulators with intrinsic spin-orbital couplings as a result of the nontrivial band topology. In recent years, the possibility of realizing novel interaction-driven…

Strongly Correlated Electrons · Physics 2016-08-31 W. Zhu , S. S. Gong , T. S. Zeng , L. Fu , D. N. Sheng

Using THz spectroscopy in external magnetic fields we investigate the low-temperature charge dynamics of strained HgTe, a three dimensional topological insulator. From the Faraday rotation angle and ellipticity a complete characterization…

Strongly Correlated Electrons · Physics 2013-03-27 A. M. Shuvaev , G. V. Astakhov , G. Tkachov , C. Brüne , H. Buhmann , L. W. Molenkamp , A. Pimenov

We study the linear thermoelectric response of a quantum dot embedded in a constriction of a quantum Hall bar with fractional filling factors nu=1/m within Laughlin series. We calculate the figure of merit ZT for the maximum efficiency at a…

Mesoscale and Nanoscale Physics · Physics 2018-02-21 Pablo Roura-Bas , Liliana Arrachea , Eduardo Fradkin

We develop a theory for the thermal Hall coefficient in a spin-$\frac{1}{2}$ system on a strip of Kagome lattice, where a chiral spin-interaction term is present. To this end, we model the Kagome strip as a three-leg $XXZ$ spin-ladder, and…

Strongly Correlated Electrons · Physics 2019-06-06 Pavel Tikhonov , Efrat Shimshoni

The spontaneous Hall effect (SHE), a finite voltage occurring transversal to the electrical current in zero-magnetic field, has been observed in both conventional and unconventional superconductors, appearing as a peak near the…

The thermoelectric transport coefficients are calculated in a generic lattice model of multi-Weyl semimetals with a broken time-reversal symmetry by using the Kubo's linear response theory. The contributions connected with the Berry…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

It is pointed out that in ferromagnetic metals a contribution to the Hall voltage arises when a non-zero spin current exists, which is generally the case in the presence of a charge current. This contribution is independent of any…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Hirsch

We show that the Anomalous Hall Effect (AHE) observed in Colossal Magnetoresistance Manganites is a manifestation of Berry phase effects caused by carrier hopping in a non-trivial spin background. We determine the magnitude and temperature…

Strongly Correlated Electrons · Physics 2009-10-31 Jinwu Ye , Yong Baek Kim , A. J. Millis , P. Majumdar , Z. Tesanovic

The Hall effect, ever intriguing since its discovery, has spurred the exploration of its phenomena, intensified by advances in topology and novel materials. Differentiating the ordinary Hall effect from extraordinary properties like the…

Materials Science · Physics 2025-09-23 ShengNan Zhang , Zhihao Liu , Hanqi Pi , Zhong Fang , Hongming Weng , QuanSheng Wu

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

Third-order nonlinear Hall effects (THE) have recently attracted considerable experimental interest as powerful probes for quantum geometric properties in emergent quantum materials, encompassing quadrupole moments of quantum metric and…