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The recent observation of a half-integer quantized thermal Hall effect in $\alpha$-RuCl$_3$ is interpreted as a unique signature of a chiral spin liquid with a Majorana edge mode. A similar quantized thermal Hall effect is expected in…

Strongly Correlated Electrons · Physics 2018-08-03 Yuval Vinkler-Aviv , Achim Rosch

We study the contribution of different types of scattering sources to the extraordinary Hall effect. Scattering by magnetic nano-particles embedded in normal-metal matrix, insulating impurities in magnetic matrix, surface scattering and…

Materials Science · Physics 2009-11-10 A. Gerber , A. Milner , A. Finkler , M. Karpovski , L. Goldsmith , J. Tuaillon-Combes , O. Boisron , P. Melinon , A. Perez

Acoustic phonons have recently been posited as playing an integral role in explaining the half-quantized thermal Hall effect in $\alpha$-RuCl$_3$. Therefore, we present much needed inelastic x-ray scattering measurements of its acoustic…

Strongly Correlated Electrons · Physics 2022-07-07 Blair W. Lebert , Subin Kim , Danil A. Prishchenko , Alexander A. Tsirlin , Ayman H. Said , Ahmet Alatas , Young-June Kim

Measurements of the thermal Hall conductivity in hole-doped cuprates have shown that phonons acquire chirality in a magnetic field, both in the pseudogap phase and in the Mott insulator state. The microscopic mechanism at play is still…

The effect of thermal fluctuation on the spin-chirality-induced anomalous Hall effect in itinerant magnets is theoretically studied. Considering a triangular-lattice model as an example, we find that a multiple-spin scattering induced by…

Strongly Correlated Electrons · Physics 2019-09-04 Yasuyuki Kato , Hiroaki Ishizuka

Thermal transport is a crucial probe for studying excitations in insulators. In Mott insulators, the primary candidates for heat carriers are spins and phonons, and which dominates the thermal conductivity is a persistent issue. Typically,…

Strongly Correlated Electrons · Physics 2025-05-19 Taekoo Oh , Naoto Nagaosa

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

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

We show that the extrinsic spin Hall effect can be engineered in monolayer graphene by decoration with small doses of adatoms, molecules, or nanoparticles originating local spin-orbit perturbations. The analysis of the single impurity…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 A. Ferreira , T. G. Rappoport , M. A. Cazalilla , A. H. Castro Neto

We study the nature of the debated thermal Hall effect in the candidate Kitaev material $\alpha$-RuCl$_3$. Without assuming the existence of a gapped spin liquid, we show that a realistic minimal spin model in the canted zigzag phase…

Strongly Correlated Electrons · Physics 2023-01-27 Shuyi Li , Han Yan , Andriy H. Nevidomskyy

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

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…

One of the most distinctive features of graphene is its huge inter-Landau-level splitting in experimentally attainable magnetic fields which results in the room-temperature quantum Hall effect. In this paper we calculate the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2015-12-07 A. M. Alexeev , R. R. Hartmann , M. E. Portnoi

Crystalline solids are generally known as excellent heat conductors, amorphous materials or glasses as thermal insulators. It has thus come as a surprise that certain crystal structures defy this paradigm. A prominent example are type-I…

Strongly Correlated Electrons · Physics 2019-02-22 M. Ikeda , H. Euchner , X. Yan , P. Tomes , A. Prokofiev , L. Prochaska , G. Lientschnig , R. Svagera , S. Hartmann , E. Gati , M. Lang , S. Paschen

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

The nature of the pseudogap phase of cuprates remains a major puzzle. Although there are indications that this phase breaks various symmetries, there is no consensus on its fundamental nature. Although Fermi-surface, transport and…

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

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

Using ab initio calculations, we show that the hidden influence of selection rules on three-phonon scattering can be exposed through anomalous signatures in the pressure ($P$) and temperature ($T$) dependence of the thermal conductivities,…

Materials Science · Physics 2021-07-14 Navaneetha K. Ravichandran , David Broido

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