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The origin of the phonon thermal Hall effect in insulators is a matter of ongoing debate. The large amplitude of the signal in an elemental non-magnetic solid, such as black phosphorus (BP), calls for a minimal mechanism not invoking the…

Strongly Correlated Electrons · Physics 2025-05-09 Xiaokang Li , Xiaodong Guo , Zengwei Zhu , Kamran Behnia

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

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

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

We report an investigation of the phonon thermal Hall effect in single crystal samples of Y$_2$Ti$_2$O$_7$, Dy$_2$Ti$_2$O$_7$, and DyYTi$_2$O$_7$. We measured the field-linear thermal Hall effect in all three samples. The temperature…

Materials Science · Physics 2024-10-11 Rohit Sharma , Martin Valldor , Thomas Lorenz

A thermal Hall effect is observed in an increasing number of insulators often attributed to phonons, but the underlying mechanism is in most cases unknown. A coupling of phonons to spins has been invoked and scattering of phonons by…

Strongly Correlated Electrons · Physics 2024-04-19 Amirreza Ataei , Gael Grissonnanche , Marie-Eve Boulanger , Lu Chen , Etienne Lefrancois , Veronique Brouet , Louis Taillefer

The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

We investigate the temperature dependence of the intrinsic anomalous Hall conductivity in Fe$_3$Ge, which is a ferromagnetic topological metal. We observe a significant anisotropy in the anomalous Hall conductivity between in-plane and…

Materials Science · Physics 2025-07-18 Susanta Ghosh , Tushar Kanti Bhowmik , Achintya Low , Setti Thirupathaiah

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

We investigate the intrinsic thermal Hall conductivity contributed by optical phonons in a cubic system. The discrete rotational symmetry of the system splits the degeneracy of transverse modes across most regions of wave-vector space,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Xuesong Hu , Junren Shi

The thermal Hall effect, defined as a heat current response transversal to an applied temperature gradient, is a central experimental probe of exotic electrically insulating phases of matter. A key question is how the interplay between…

Strongly Correlated Electrons · Physics 2023-02-28 N. Li , R. R. Neumann , S. K. Guang , Q. Huang , J. Liu , K. Xia , X. Y. Yue , Y. Sun , Y. Y. Wang , Q. J. Li , Y. Jiang , J. Fang , Z. Jiang , X. Zhao , A. Mook , J. Henk , I. Mertig , H. D. Zhou , X. F. Sun

Motivated by recent experiments on the phonon contribution to the thermal Hall effect in the cuprates, we present an analysis of chiral phonon transport. We assume the chiral behavior arises from a non-zero phonon Hall vicosity, which is…

Strongly Correlated Electrons · Physics 2021-05-12 Haoyu Guo , Subir Sachdev

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

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 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

Kitaev materials are a promising platform for the realization of quantum spin liquid states. The thermal Hall effect has emerged as a potential probe of exotic excitations within such states. In the Kitaev candidate material…

Strongly Correlated Electrons · Physics 2024-07-15 Lu Chen , Étienne Lefrançois , Ashvini Vallipuram , Quentin Barthélemy , Amirreza Ataei , Wailing Yao , Yuan Li , Louis Taillefer

Majorana fermions as emergent excitations of the Kitaev quantum spin liquid ground state constitute a promising concept in fault tolerant quantum computation. Experimentally, the recently reported topological half-quantized thermal Hall…

Strongly Correlated Electrons · Physics 2023-11-27 Matthias Gillig , Xiaochen Hong , Christoph Wellm , Vladislav Kataev , Weiliang Yao , Yuan Li , Bernd Büchner , Christian Hess

The recent report of a half-quantized thermal Hall effect in the Kitaev material $\alpha$-RuCl$_3$ has sparked a strong debate on whether it is generated by Majorana fermion edge currents or whether other more conventional mechanisms…

We study the intrinsic scattering of phonons by a general quantum degree of freedom, i.e. a fluctuating "field" $Q$, which may have completely general correlations, restricted only by unitarity and translational invariance. From the induced…

Strongly Correlated Electrons · Physics 2023-01-04 Léo Mangeolle , Leon Balents , Lucile Savary

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
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