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Related papers: Phonon Hall Effect in Four-Terminal Junctions

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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

Based upon spin-lattice interaction, we propose a theoretical model for the phonon Hall effect in paramagnetic dielectrics. The thermal Hall conductivity is calculated by using the Kubo formula. Our theory reproduces the essential…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Sheng , D. N. Sheng , C. S. Ting

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

We present a systematic theory of the phonon Hall effect in a ballistic crystal lattice system, and apply it on the kagome lattice which is ubiquitous in various real materials. By proposing a proper second quantization for the non-Hermite…

Materials Science · Physics 2011-07-15 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

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

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

We demonstrate theoretically that the thermal Hall effect of magnons in collinear antiferromagnetic insulators is an indicator of magnetic and topological phase transitions in the magnon spectrum. The transversal heat current of magnons…

Strongly Correlated Electrons · Physics 2022-03-23 Robin R. Neumann , Alexander Mook , Jürgen Henk , Ingrid Mertig

Quite recently, magnon Hall effect of spin excitations has been observed experimentally on the kagome and pyrochlore lattices. Thermal Hall conductivity $\kappa^{xy}$, changes sign as a function of magnetic field or temperature on the…

Strongly Correlated Electrons · Physics 2016-07-26 S. A. Owerre

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

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

The observation of a misalignment between the applied heat flux and the measured temperature gradient in insulating solids induced by magnetic field has become a subject of experimental investigation, theoretical speculation, and unsettled…

Materials Science · Physics 2026-04-06 Yu Ling , Benoît Fauqué , Kamran Behnia

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

The phonon Hall effect has been observed in the paramagnetic insulator, Tb3Gd5O12. A magnetic field applied perpendicularly to a heat current induces a temperature gradient that is perpendicular to both the field and the current. We show…

Mesoscale and Nanoscale Physics · Physics 2014-12-24 M. Mori , A. Spencer-Smith , O. P. Sushkov , S. Maekawa

We study phonon Hall effect (PHE) for ionic crystals in the presence of static magnetic field. Using Green-Kubo formula, we present an exact calculation of thermal conductivity tensor by considering both positive and negative frequency…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Bijay K. Agarwalla , Lifa Zhang , Jian-Sheng Wang , Baowen Li

Topology applied to condensed matter is an important area of research and technology, and topological magnetic excitations have recently become an active field of study. This paper presents a general discussion of magnon Hall transport in…

Strongly Correlated Electrons · Physics 2023-07-24 P. G. de Oliveira , A. S. T. Pires

In this paper we theoretically discuss thermal Hall effect of magnons in insulating N\'{e}el ordered antiferromagnets at zero external magnetic field. We show that for compensated N\'{e}el order the non-zero thermal Hall effect will occur…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Vladimir A. Zyuzin

Magnon spin Hall systems could hardly show experimentally observable particle and thermal transport phenomena intrinsically due to the spin cancellation. Here we demonstrated that the magnon spin Hall systems can exhibit magnon Nernst…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Yun-Mei Li

Nonlinear Hall effects have been previously investigated in non-centrosymmetric systems for electronic systems. However, they only exist in metallic systems and are not compatible with ferroelectrics since these latter are insulators, hence…

Materials Science · Physics 2023-06-28 W. Luo , J. Y. Ji , P. Chen , Y. Xu , L. F. Zhang , H. J. Xiang , L. Bellaiche

The Hall effect usually occurs when the Lorentz force acts on a charge current in a conductor in the presence of perpendicular magnetic field. On the other hand, neutral quasi-particles such as phonons and spins can carry heat current and…

Materials Science · Physics 2010-08-12 Y. Onose , T. Ideue , H. Katsura , Y. Shiomi , N. Nagaosa , Y. Tokura
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