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We have investigated the sample dependence of the half-integer thermal Hall effect in $\alpha$-RuCl$_3$ under a magnetic field tilted 45 degree from the $c$ axis to the $a$ axis. We find that the sample with the largest longitudinal thermal…

Strongly Correlated Electrons · Physics 2021-01-04 M. Yamashita , J. Gouchi , Y. Uwatoko , N. Kurita , H. Tanaka

Heat transport mediated by Majorana edge modes in a magnetic insulator leads to a half-integer thermal quantum Hall conductance, which has recently been reported for the two-dimensional honeycomb material $\alpha$-RuCl$_3$. While the…

Strongly Correlated Electrons · Physics 2021-08-02 T. Yokoi , S. Ma , Y. Kasahara , S. Kasahara , T. Shibauchi , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , C. Hickey , S. Trebst , Y. Matsuda

The Kitaev quantum spin liquid displays the fractionalization of quantum spins into Majorana fermions. The emergent Majorana edge current is predicted to manifest itself in the form of a finite thermal Hall effect, a feature commonly…

Strongly Correlated Electrons · Physics 2018-05-30 Y. Kasahara , K. Sugii , T. Ohnishi , M. Shimozawa , M. Yamashita , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , T. Shibauchi , Y. Matsuda

Thermal Hall conductivity originating from topological magnons is observed in the Kitaev candidate $\alpha$-RuCl$_3$ in broad intervals of temperature and in-plane magnetic field, raising questions on the role of the Majorana mode in heat…

Strongly Correlated Electrons · Physics 2023-02-01 Hae-Young Kee

We investigate the thermal Hall conductivity in the Kitaev model with additional interactions under a magnetic field, employing a finite-temperature tensor network method benchmarked by a thermal pure quantum state technique. We find that…

Strongly Correlated Electrons · Physics 2025-09-03 Tsuyoshi Okubo , Joji Nasu , Takahiro Misawa , Yukitoshi Motome

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 quantum Hall effect (QHE) in two-dimensional (2D) electron gases, which is one of the most striking phenomena in condensed matter physics, involves the topologically protected dissipationless charge current flow along the edges of the…

Strongly Correlated Electrons · Physics 2018-08-02 Y. Kasahara , T. Ohnishi , Y. Mizukami , O. Tanaka , Sixiao Ma , K. Sugii , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , T. Shibauchi , Y. Matsuda

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 report detailed measurements of the Onsager-like planar thermal Hall conductivity $\kappa_{xy}$ in $\alpha$-RuCl$_3$, a spin-liquid candidate of topical interest. With the thermal current ${\bf J}_{\rm Q}$ and magnetic field $\bf…

We investigate thermal Hall conductivity $\kappa_{xy}$ of a $J$-$K$ Kitaev-Heisenberg model with a Zeeman field in the $(111)$ direction in the light of the recent debate surrounding the possible re-emergence of Ising topological order…

Strongly Correlated Electrons · Physics 2023-06-27 Aman Kumar , Vikram Tripathi

The material $\alpha$-RuCl$_3$ has been the subject of intense scrutiny as a potential Kitaev quantum spin liquid, predicted to display Majorana fermions as low energy excitations. In practice, $\alpha$-RuCl$_3$ undergoes a transition to a…

The honeycomb Kitaev model in a magnetic field is a source of a topological quantum spin liquid with Majorana fermions and gauge flux excitations as fractional quasiparticles. We present experimental results for the thermal Hall effect of…

Strongly Correlated Electrons · Physics 2019-03-06 Richard Hentrich , Maria Roslova , Anna Isaeva , Thomas Doert , Wolfram Brenig , Bernd Büchner , Christian Hess

The exactly-solvable Kitaev model of two-dimensional honeycomb magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic…

Strongly Correlated Electrons · Physics 2022-09-13 O. Tanaka , Y. Mizukami , R. Harasawa , K. Hashimoto , K. Hwang , N. Kurita , H. Tanaka , S. Fujimoto , Y. Matsuda , E. -G. Moon , T. Shibauchi

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 experimental observation of half-integer-quantized thermal Hall conductivity in the Kitaev candidate material $\alpha$-RuCl$_3$ has served as smoking-gun signature of non-Abelian anyons through an associated chiral Majorana edge mode.…

Strongly Correlated Electrons · Physics 2025-05-09 Heda Zhang , Gabor B. Halasz , Sujoy Ghosh , Stephen Jesse , Thomas Z. Ward , David Alan Tennant , Michael McGuire , Jiaqiang Yan

The appearance of half-quantized thermal Hall conductivity in $\alpha$-RuCl$_3$ in the presence of in-plane magnetic fields has been taken as a strong evidence for Kitaev spin liquid. Apart from the quantization, the observed sign structure…

Strongly Correlated Electrons · Physics 2021-04-09 Li Ern Chern , Emily Z. Zhang , Yong Baek Kim

Thermal signatures of fractionalized excitations are a fingerprint of quantum spin liquids (QSLs). In the $J_{eff}=1/2$ honeycomb magnet $\alpha$-RuCl$_3$, a QSL state emerges upon applying an in-plane magnetic field $H_{||}$ greater than…

Strongly Correlated Electrons · Physics 2022-06-01 J. A. N. Bruin , R. R. Claus , Y. Matsumoto , N. Kurita , H. Tanaka , H. Takagi

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

Kitaev physics has recently attracted attention in condensed matter for its anticipated novel quantum spin liquid state. The thermal transport measurement is crucial for probing the novel features of charge-neutral quasiparticles. In this…

Proposed effective Hamiltonians from the literature for the material $\alpha$-RuCl${}_3$ are used to compute the magnon thermal Hall conductivity, $\kappa_{xy}$, using linear spin wave theory for the magnetically ordered state. No model…

Strongly Correlated Electrons · Physics 2022-03-30 Tessa Cookmeyer , Joel E. Moore
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