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The origin of phonon thermal Hall Effect (THE) observed in a variety of insulators is yet to be identified. Here, we report on the observation of a thermal Hall conductivity in a non-magnetic elemental insulator, with an amplitude exceeding…

Strongly Correlated Electrons · Physics 2023-03-16 Xiaokang Li , Yo Machida , Alaska Subedi , Zengwei Zhu , Liang Li , Kamran Behnia

In a growing list of insulators, experiments find that magnetic field induces a misalignment between the heat flux and the thermal gradient vectors. This phenomenon, known as the phonon thermal Hall effect, implies energy flow without…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Kamran Behnia

Spin Hall effect is the transverse flow of the electron spin in conductors under external electric field. Similarly, thermal gradient in magnetic insulators can drive a transverse flow of the spin angular momentum of magnons, which provides…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 Sungjoon Park , Bohm-Jung Yang

To date, the intrinsic thermal conductivity tensor of bulk black phosphorus (BP), an important 2D material, is still unknown, since recent studies focus on BP flakes not on bulk BP. Here we report the anisotropic thermal conductivity tensor…

Materials Science · Physics 2016-11-22 Bo Sun , Xiaokun Gu , Qingsheng Zeng , Xi Huang , Yuexiang Yan , Zheng Liu , Ronggui Yang , Yee Kan Koh

We present the experimental observation of a drastically enhanced thermal Hall effect in the topological insulator material TlBi$_{0.15}$Sb$_{0.85}$Te$_2$. Although heat transport is dominated by phonons, moderate magnetic fields generate a…

Strongly Correlated Electrons · Physics 2026-02-06 Rohit Sharma , Yongjian Wang , Yoichi Ando , Achim Rosch , Thomas Lorenz

The theory of anomalous Hall effect for the heat transfer in a paramagnetic dielectric, discovered experimentally in [1], is developed. The appearance of the phonon heat flux normal to both the temperature gradient and the magnetic field is…

Other Condensed Matter · Physics 2009-11-13 Yu. Kagan , L. A. Maksimov

It has been known for decades that a magnetic field can deflect phonons as they flow in response to a thermal gradient, producing a thermal Hall effect. Several recent experiments have revealed ratios of the phonon Hall conductivity to the…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 B. Flebus , A. H. MacDonald

Thermal transport acts as a powerful tool for studying the excitations and physical properties of insulators, where a charge gap suppresses electronic conduction. Recently, the thermal Hall effect has been observed across various materials,…

Mesoscale and Nanoscale Physics · Physics 2025-07-31 Taekoo Oh

The underlying mechanism of the thermal Hall effect (THE) generated by phonons in a variety of insulators is yet to be identified. Here, we report on a sizeable thermal Hall conductivity in NiPS$_3$, a van der Waals stack of honeycomb…

Strongly Correlated Electrons · Physics 2024-10-02 Qingkai Meng , Xiaokang Li , Jie Liu , Lingxiao Zhao , Chao Dong , Zengwei Zhu , Liang Li , Kamran Behnia

Recent studies have demonstrated that the thermal Hall effect can originate from magnons (magnon Hall effect), phonons (phonon Hall effect), or their combination (magnon-polaron Hall effect). The magnon-polaron Hall effect, first observed…

Materials Science · Physics 2025-08-19 Mohamed Nawwar , Robin R. Neumann , Jiamin Wen , Alexander Mook , Ingrid Mertig , Joseph P. Heremans

The mechanism behind thermal Hall effects by phonons, which are observed in various materials, is not clarified despite the dominant contribution as heat carriers. Theoretically, mechanisms based on the intrinsic Berry phase and those on…

We propose a new mechanism for the thermal Hall effect in exchange spin-wave systems, which is induced by the magnon-phonon interaction. Using symmetry arguments, we first show that this effect is quite general, and exists whenever the…

Mesoscale and Nanoscale Physics · Physics 2019-10-17 Xiaoou Zhang , Yinhan Zhang , Satoshi Okamoto , Di Xiao

It has become common knowledge that phonons can generate thermal Hall effect in a wide variety of materials, although the underlying mechanism is still controversial. We study longitudinal $\kappa_{xx}$ and transverse $\kappa_{xy}$ thermal…

Strongly Correlated Electrons · Physics 2022-08-09 Taiki Uehara , Takumi Ohtsuki , Masafumi Udagawa , Satoru Nakatsuji , Yo Machida

From a systematic study of thermal and charge transport in various single crystals of compensated topological insulators we identify the evolution of a large low-temperature thermal Hall effect as a characteristic common feature. In order…

Strongly Correlated Electrons · Physics 2024-03-14 Rohit Sharma , Mahasweta Bagchi , Yongjian Wang , Yoichi Ando , Thomas Lorenz

The temperature dependence of the band gap is crucial to a semiconductor. Bulk black phosphorus (BP) is known to exhibit an anomalous behavior. Through optical spectroscopy, here we show that the temperature effect on BP band gap gradually…

Phonon polarization in a magnetic field is analyzed in 2D model. It is shown, that at presence of spin-phonon interaction phonon possess elliptic polarization which causes the appearance of heat flux component perpendicular both to…

Other Condensed Matter · Physics 2008-12-04 L. A. Maksimov , T. V. Khabarova

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

A mechanism for phonon Hall effect (PHE) in non-magnetic insulators under an external magnetic field is theoretically studied. PHE is known in (para)magnetic compounds, where the magnetic moments and spin-orbit interaction play an essential…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Takuma Saito , Kou Misaki , Hiroaki Ishizuka , Naoto Nagaosa

The thermal Hall effect, which arises when heat flows transverse to an applied thermal gradient, has become an important observable in the study of quantum materials. Recent experiments found a large thermal Hall conductivity $\kappa_{xy}$…

Strongly Correlated Electrons · Physics 2023-02-06 Liuke Lyu , William Witczak-Krempa

Fourier's law dictates that heat flow is usually parallel to the applied temperature gradient. However, under a high magnetic field, heat flow carried by both electrons in conductors and phonons in insulators can be deflected, a phenomenon…

Strongly Correlated Electrons · Physics 2026-05-28 Zhe Cui , Haoran Fan , Wenjiang Zhou , Xianghong Jin , Yuchen Gu , Da Ma , Cong Xiao , Hua Jiang , Xincheng Xie , Bai Song , Yuan Li , Xi Lin
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