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The thermal Hall effect in magnetic insulators has been considered a powerful method for examining the topological nature of charge-neutral quasiparticles such as magnons. Yet, unlike the kagome system, the triangular lattice has received…

We consider the effect of coupling between phonons and a chiral Majorana edge in a gapped chiral spin liquid with Ising anyons (e.g., Kitaev's non-Abelian spin liquid on the honeycomb lattice). This is especially important in the regime in…

Strongly Correlated Electrons · Physics 2018-10-10 Mengxing Ye , Gábor B. Halász , Lucile Savary , Leon Balents

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

We show that the anomalous decrease in the thermal conductivity of cuprates below 300 mK, as has been observed recently in several cuprate materials including Pr$_{2-x}$Ce$_x$CuO$_{7-\delta}$ in the field-induced normal state, is due to the…

Superconductivity · Physics 2007-05-23 M. F. Smith , Johnpierre Paglione , M. B. Walker , Louis Taillefer

Because electrons and ions form a coupled system, it is a priori clear that the dynamics of the lattice should reflect symmetry breaking within the electronic degrees of freedom. This has been recently clearly evidenced for the case of…

Strongly Correlated Electrons · Physics 2023-03-03 Léo Mangeolle , Leon Balents , Lucile Savary

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

Motivated by experimental observations, Samajdar et al. [Nature Physics 15, 1290 (2019)] have proposed that the insulating Neel state in the parent compounds of the cuprates is proximate to a quantum phase transition to a state in which…

Strongly Correlated Electrons · Physics 2021-07-14 Yunchao Zhang , Yanting Teng , Rhine Samajdar , Subir Sachdev , Mathias S. Scheurer

In the layered cuprate perovskites, the occurence of high-temperature superconductivity seems deeply related to the unusual nature of the hole excitations. The limiting case of a very small number of holes diffusing in the antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-11-07 Yayu Wang , N. P. Ong

In the context of recent experimental observations of an unexpectedly large thermal Hall conductivity, $\kappa_H$, in insulating $\mathrm{La_2CuO_4}$ (LCO) and $\mathrm{SrTiO_3}$ (STO), we theoretically explore conditions under which…

Strongly Correlated Electrons · Physics 2020-07-24 Jing-Yuan Chen , Steven A. Kivelson , Xiao-Qi Sun

The planar Hall effect of IrMn on an yttrium iron garnet (YIG = Y3Fe5O12) was measured in the magnetic field rotating in the film plane. The magnetic field angle dependence of planar Hall resistance (PHR) has been observed in YIG/IrMn…

Materials Science · Physics 2015-06-23 Xu Zhang

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

The phonon thermal Hall effect (THE) is a ubiquitous yet poorly understood phenomenon in insulators. Its microscopic origin remains debated, partly due to significant sample-dependent variations that hint at uncontrolled experimental…

Strongly Correlated Electrons · Physics 2025-11-13 Qiaochao Xiang , Xiaokang Li , Xiaodong Guo , Kamran Behnia , Zengwei Zhu

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

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

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

Within the framework of the unified theory thermal transport model, the competing contributions of coherent and incoherent terms create a trade-off relationship, posing substantial challenges to achieving a reduction in overall $\rm…

Materials Science · Physics 2025-04-04 Wenjie Xiong , Hao Huang , Yu Wu , Xinji Xu , Geng Li , Zonglin Gu , Shuming Zeng

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

Pulsed field measurements of the Hall resistivity and magnetoresistance of underdoped YBa2Cu4O8 are analyzed self-consistently using a simple model based on coexisting electron and hole carriers. The resultant mobilities and Hall numbers…

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

Electrical resistivities can be different for charge currents travelling parallel or perpendicular to the magnetization in magnetically ordered conductors or semiconductors, resulting in the well-known planar Hall effect and anisotropic…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 J. Liu , L. J. Cornelissen , J. Shan , T. Kuschel , B. J. van Wees