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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…

强关联电子 · 物理学 2018-10-10 Mengxing Ye , Gábor B. Halász , Lucile Savary , Leon Balents

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…

强关联电子 · 物理学 2023-01-27 Shuyi Li , Han Yan , Andriy H. Nevidomskyy

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…

Despite extensive investigations, a topological state that hosts Majorana edge modes in the magnetic field-induced quantum disordered state of the Kitaev candidate material $\alpha$-RuCl$_3$ has been hotly debated. To gain more insight into…

强关联电子 · 物理学 2022-08-31 Y. Kasahara , S. Suetsugu , T. Asaba , S. Kasahara , T. Shibauchi , N. Kurita , H. Tanaka , Y. Matsuda

It has recently become clear that phonons generate a sizable thermal Hall effect in cuprates, whether they are undoped, electron-doped or hole-doped (inside the pseudogap phase). At higher doping, where cuprates are reasonably good metals,…

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…

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…

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…

强关联电子 · 物理学 2021-01-04 M. Yamashita , J. Gouchi , Y. Uwatoko , N. Kurita , H. Tanaka

Kitaev materials are a promising platform for the realization of quantum spin liquid states. The thermal Hall effect has emerged as a potential probe of exotic excitations within such states. In the Kitaev candidate material…

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…

强关联电子 · 物理学 2021-04-09 Li Ern Chern , Emily Z. Zhang , Yong Baek Kim

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…

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…

强关联电子 · 物理学 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

A surprising "planar" thermal Hall effect, whereby the field is parallel to the current, has recently been observed in a few magnetic insulators, and this has been attributed to exotic excitations such as Majorana fermions or chiral…

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…

强关联电子 · 物理学 2022-07-27 Shaozhi Li , Satoshi Okamoto

The recent report of a half-quantized thermal Hall effect in the Kitaev material $\alpha$-RuCl$_3$ has sparked a strong debate on whether it is generated by Majorana fermion edge currents or whether other more conventional mechanisms…

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.…

We apply a recently developed first-principles based approach for treating generic spin-phonon couplings in materials with strong spin-orbit coupling to study $\alpha$-RuCl$_3$. Of particular focus is the potential for this material to…

强关联电子 · 物理学 2026-05-12 Ramesh Dhakal , David A. S. Kaib , Kate Choi , Sananda Biswas , Roser Valenti , Stephen M. Winter

Recent thermal-transport experiments on the Kitaev magnet $\alpha$-RuCl$_3$ highlight the challenge in identifying chiral quantum spin liquids through their quantized thermal Hall effect. Here, we propose that variations in the underlying…

强关联电子 · 物理学 2025-05-08 Gábor B. Halász

It has become common knowledge that phonons can generate thermal Hall effect in a wide variety of materials, although the underlying mechanism is still controversial. We study longitudinal $\kappa_{xx}$ and transverse $\kappa_{xy}$ thermal…

强关联电子 · 物理学 2022-08-09 Taiki Uehara , Takumi Ohtsuki , Masafumi Udagawa , Satoru Nakatsuji , Yo Machida

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…

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