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Kitaev quantum spin liquids host Majorana fermions via the fractionalization of spins. In a magnetic field, the Majorana fermions were predicted to comprise a topological state, which has attracted great attention by the discovery of the…

Strongly Correlated Electrons · Physics 2020-04-01 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

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 quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid and the…

Strongly Correlated Electrons · Physics 2018-09-12 Joji Nasu , Yasuyuki Kato , Yoshitomo Kamiya , Yukitoshi Motome

There has been great interest in identifying a Kitaev quantum spin liquid state in frustrated magnets with bond-dependent interactions. In particular, the experimental report of a half-quantized thermal Hall conductivity in…

Strongly Correlated Electrons · Physics 2025-12-11 Emily Z. Zhang , Reja H. Wilke , Yong Baek Kim

In conventional insulating magnets, heat is carried by magnons and phonons. In contrast, when the magnets harbor a quantum spin liquid state, emergent quasiparticles from the fractionalization of quantum spins can carry heat. Here, we…

Strongly Correlated Electrons · Physics 2017-09-26 Joji Nasu , Junki Yoshitake , Yukitoshi Motome

Thermal transport in topologically-ordered phases of matter provides valuable insights as it can detect the charge-neutral quasiparticles that would not directly couple to electromagnetic probes. An important example is edge heat transport…

Strongly Correlated Electrons · Physics 2023-01-26 Emily Z. Zhang , Li Ern Chern , Yong Baek Kim

We propose a scenario of realizing the toric code phase, which can be potentially utilized for fault-tolerant quantum computation, in candidate materials of Kitaev magnets. It is demonstrated that four-body interactions among Majorana…

Strongly Correlated Electrons · Physics 2021-06-16 Masahiro O. Takahashi , Masahiko G. Yamada , Daichi Takikawa , Takeshi Mizushima , Satoshi Fujimoto

We present the theoretical results for the Majorana band structure and thermal transport properties in the Kitaev honeycomb model under a staggered magnetic field in addition to a uniform one. The Majorana band structure is asymmetrically…

Strongly Correlated Electrons · Physics 2022-05-13 Kazuki Nakazawa , Yasuyuki Kato , Yukitoshi Motome

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…

Two- and three-dimensional Kitaev magnets are prototypical frustrated quantum spin systems, in which the original spin degrees of freedom fractionalize into Majorana fermions and a $\mathbb{Z}_2$ gauge field -- a purely local phenomenon…

Strongly Correlated Electrons · Physics 2019-11-06 T. Eschmann , P. A. Mishchenko , T. A. Bojesen , Y. Kato , M. Hermanns , Y. Motome , S. Trebst

In this work we study the phase diagram of Kekul\'{e}-Kitaev model. The model is defined on a honeycomb lattice with bond dependent anisotropic exchange interactions making it exactly solvable in terms of Majorana representation of spins in…

Strongly Correlated Electrons · Physics 2020-03-18 Fatemeh Mirmojarabian , Mehdi Kargarian , Abdollah Langari

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

Effects of bond randomness and site dilution are systematically investigated for the Kitaev model describing a quantum spin liquid with fractional excitations of itinerant Majorana fermions and localized fluxes. We find that, in the…

Strongly Correlated Electrons · Physics 2020-09-02 Joji Nasu , Yukitoshi Motome

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…

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect finite-temperature ($T$) properties in a…

Strongly Correlated Electrons · Physics 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

We study how stable the Majorana-mediated spin transport in a quantum spin Kitaev model is against thermal fluctuations. Using the time-dependent thermal pure quantum state method, we examine finite-temperature spin dynamics in the Kitaev…

Strongly Correlated Electrons · Physics 2022-03-30 Hirokazu Taguchi , Yuta Murakami , Akihisa Koga

A three-dimensional Kitaev model on a hyperhoneycomb lattice is investigated numerically at finite temperature. The Kitaev model is one of the solvable quantum spin models, where the ground state is given by gapped and gapless spin liquids,…

Strongly Correlated Electrons · Physics 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

The Kitaev magnets with bond-dependent interactions have garnered considerable attention in recent years for their ability to harbor exotic phases and nontrivial excitations. The topological magnons, which are indicated by nonzero Chern…

Strongly Correlated Electrons · Physics 2025-06-05 Xudong Li , Jize Zhao , Jinbin Li , Qiang Luo

Finite-temperature ($T$) properties of a Kitaev model defined on a honeycomb lattice are investigated by a quantum Monte Carlo simulation, from the viewpoint of fractionalization of quantum $S=1/2$ spins into two types of Majorana fermions,…

Strongly Correlated Electrons · Physics 2015-09-30 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

Magnetic fields can give rise to a plethora of phenomena in Kitaev spin systems, such as the formation of non-trivial spin liquids in two and three spatial dimensions. For the original honeycomb Kitaev model, it has recently been observed…

Strongly Correlated Electrons · Physics 2020-07-01 Christoph Berke , Simon Trebst , Ciarán Hickey
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