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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

We provide a topological understanding on phonon Hall effect in dielectrics with Raman spinphonon coupling. A general expression for phonon Hall conductivity is obtained in terms of the Berry curvature of band structures. We find a…

Materials Science · Physics 2011-01-28 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

In a growing number of materials, phonons have been found to generate a thermal Hall effect, but the underlying mechanism remains unclear. Inspired by previous studies that revealed the importance of Tb$^{3+}$ ions in generating the thermal…

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

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

The role of electron-phonon scattering in finite-temperature anomalous Hall effect is still poorly understood. In this work, we present a Boltzmann theory for the side-jump contribution from electron-phonon scattering, which is derived from…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Cong Xiao , Ying Liu , Ming Xie , Shengyuan A. Yang , Qian Niu

We investigate the thermal Hall effect in a Kitaev-Heisenberg system, a model for Kitaev candidate $\alpha$-RuCl$_3$, in the presence of the coupling between spin and phonon arising from chlorine atoms' vibration. We observe that the…

Strongly Correlated Electrons · Physics 2022-07-27 Shaozhi Li , Satoshi Okamoto

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

Using the linearized Boltzmann transport equation and perturbation theory, we analyze the reduction in the intrinsic thermal conductivity of few-layer graphene sheets accounting for all possible three-phonon scattering events. Even with…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Dhruv Singh , Jayathi Y. Murthy , Timothy S. Fisher

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

Quantum Anomalous Hall (QAH) state in six quintuple layer Cr$_{0.1}$(Bi$_{0.2}$Sb$_{0.8}$)$_{1.9}$Te$_3$ thin films were studied through scanning tunneling spectroscopy (STS) and electrical transport measurements. While the surface state is…

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

Recently, in topological insulators (TIs) the phenomenon of planar Hall effect (PHE) wherein a current driven in presence an in-plane magnetic field generates a transverse voltage has been experimentally witnessed. There have been a couple…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Dhavala Suri , Abhiram Soori

Extending the notion of symmetry protected topological phases to insulating antiferromagnets (AFs) described in terms of opposite magnetic dipole moments associated with the magnetic N$\acute{{\rm{e}}} $el order, we establish a bosonic…

Mesoscale and Nanoscale Physics · Physics 2017-12-12 Kouki Nakata , Se Kwon Kim , Jelena Klinovaja , Daniel Loss

We describe nonlinear phonon-thermoelectric devices where charge current and electronic and phononic heat currents are coupled, driven by voltage and temperature biases, when phonon-assisted inelastic processes dominate the transport. Our…

Mesoscale and Nanoscale Physics · Physics 2015-07-31 Jian-Hua Jiang , Manas Kulkarni , Dvira Segal , Yoseph Imry

Using THz spectroscopy in external magnetic fields we investigate the low-temperature charge dynamics of strained HgTe, a three dimensional topological insulator. From the Faraday rotation angle and ellipticity a complete characterization…

Strongly Correlated Electrons · Physics 2013-03-27 A. M. Shuvaev , G. V. Astakhov , G. Tkachov , C. Brüne , H. Buhmann , L. W. Molenkamp , A. Pimenov

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

While phonon topology in crystalline solids has been extensively studied, its influence on thermal transport-especially in nanostructures-remains elusive. Here, by combining first-principles-based machine learning potentials with the phonon…

Materials Science · Physics 2025-12-23 Zhe Su , Shuoran Song , Qi Wang , Jian-Hua Jiang

We study the Hall conductivity in single layer gapped Dirac fermion materials including coupling to a phonon field, which not only modifies the quasi-particle dynamics through the usual self-energy term but also renormalizes directly the…

Strongly Correlated Electrons · Physics 2015-06-17 Zhou Li , J. P. Carbotte