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The amplitude of the Hall response of electrons can be understood without invoking interactions. Most theories of the phonon thermal Hall effect have likewise opted for a non-interacting picture. Here, we challenge this approach. Our study…

Materials Science · Physics 2026-04-07 Xiaodong Guo , Xiaokang Li , Alaska Subedi , Zengwei Zhu , Kamran Behnia

With an increasing number of experiments observing phonon thermal Hall effect in magnets, it is theoretically desired to have a minimal model for the phonon thermal Hall effect. In this work, we study a simple model of acoustic phonons and…

Strongly Correlated Electrons · Physics 2023-10-11 Haoyu Guo

The experimental observation of half-integer-quantized thermal Hall conductivity in the Kitaev candidate material $\alpha$-RuCl$_3$ has served as smoking-gun signature of non-Abelian anyons through an associated chiral Majorana edge mode.…

Strongly Correlated Electrons · Physics 2025-05-09 Heda Zhang , Gabor B. Halasz , Sujoy Ghosh , Stephen Jesse , Thomas Z. Ward , David Alan Tennant , Michael McGuire , Jiaqiang Yan

Quantum anomalous Hall (QAH) effect provides dissipationless chiral channels for spin transport, expected as an outstanding candidate in future low-power quantum computation. The spin-splitting band structure is vital for obtaining QAH…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 Wenxuan Zhu , Hua Bai , Lei Han , Feng Pan , Cheng Song

Thermal Hall effect (THE) in insulator is a remarkable phenomenon that arises from the motion of chargeless quasi-particles under a magnetic field. While magnons or exotic spin excitations were considered as the origin of THE in some…

Strongly Correlated Electrons · Physics 2024-05-03 Xiaobo Jin , Xu Zhang , Wenbo Wan , Hanru Wang , Yihan Jiao , Shiyan Li

Non-trivial spin structures in itinerant magnets can give rise to topological Hall effect (THE) due to the interacting local magnetic moments and conductive electrons. While, in series of materials, THE has mostly been observed at low…

Strongly Correlated Electrons · Physics 2021-03-16 Gaoshang Gong , Longmeng Xu , Yuming Bai , Yongqiang Wang , Songliu Yuan , Yong Liu , Zhaoming Tian

In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum materials, especially among the Mott insulating systems where the electronic…

Strongly Correlated Electrons · Physics 2024-06-19 Xiao-Tian Zhang , Yong Hao Gao , Gang Chen

In this letter, we report the gigantic thermal Hall effect $\kappa_{xy}$ in the low-field correlated-paramagnetic state of the frustrated pyrochlore Yb$_2$Ti$_2$O$_7$. We observed a record magnitude for the thermal Hall angle in an…

Strongly Correlated Electrons · Physics 2019-07-30 Max Hirschberger , Peter Czajka , S. M. Koohpayeh , Wudi Wang , N. Phuan Ong

The spin-Hall effect describes the interconversion of charge currents and spin currents, enabling highly efficient manipulation of magnetization for spintronics. Symmetry conditions generally restrict polarizations of these spin currents to…

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…

In most conductors current flow perpendicular to electric field direction (Hall current) can be explained in terms of the Lorentz forces present when charged particles flow in an external magnetic field. However, as established in the very…

Materials Science · Physics 2014-01-14 Hua Chen , Qian Niu , A. H. MacDonald

In this paper we theoretically predict a distinct class of anomalous Hall effects occurring in metallic collinear antiferromagnets. The effect is quadratic and $d-$wave symmetric in external magnetic field. In addition, the electric…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Dmitrii L. Vorobev , Vladimir A. Zyuzin

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

The existence of conserved spin Hall currents is shown in a strongly correlated system without involving spin-orbit coupling. The spin Hall conductivity is determined by intrinsic bulk properties, which remains finite even when the charge…

Strongly Correlated Electrons · Physics 2007-05-23 Su-Peng Kou , Xiao-Liang Qi , Zheng-Yu Weng

Intrinsic two-dimensional magnets serve as a good platform to explore collective, charge-neutral and low-energy excitations. Distinguishing the crucial role of them in experimental aspect remains a challenge for decades. Here, we study the…

The study of topological property of band insulators is an interesting branch of condensed matter physics. Two types of topologically nontrivial insulators have been extensively studied. The first type is characterized by a nonzero TKNN…

Materials Science · Physics 2011-11-15 Yi-Dong Wu

It has been known for more than a decade that phonons can produce an off-diagonal thermal conductivity in presence of magnetic field. Recent studies of thermal Hall conductivity, $\kappa_{xy}$, in a variety of contexts, however, have…

Strongly Correlated Electrons · Physics 2020-03-11 Xiaokang Li , Benoît Fauqué , Zengwei Zhu , Kamran Behnia

When a ferromagnet is deposited on the surface of a topological insulator the topologically protected surface state develops a gap and becomes a 2-dimensional quantum Hall liquid. We demonstrate that the Hall current in such a liquid,…

Materials Science · Physics 2015-05-14 Ion Garate , M. Franz

Complexity of quantum phases of matter is often understood by the underlying gauge structures, as was recognized by the $\mathbb{Z}_2$ and U(1) gauge theory description of spin liquid in frustrated magnets. Anomalous Hall effect of…

We investigate magnetotransport in exfoliated nanostructures of the candidate magnetic 3D topological insulator $\mathrm{EuSn_{2}As_{2}}$. Similar to macroscopic single crystals, the negative magnetoresistance observed below the N\'eel…