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The Kitaev honeycomb model hosts a fascinating fractionalized state of matter featuring emergent Majorana fermions and a vison particle that carries the flux of an emergent gauge field. In the exactly solvable model these visons are static…

Strongly Correlated Electrons · Physics 2023-01-12 Chuan Chen , Inti Sodemann Villadiego

The Kitaev spin liquid realizes an emergent static $\mathbb{Z}_2$ gauge field with vison excitations coupled to Majorana fermions. We consider Kitaev models stacked on top of each other, weakly coupled by Heisenberg interaction $\propto…

Strongly Correlated Electrons · Physics 2024-08-20 Aprem P. Joy , Achim Rosch

The relaxation dynamics of the Kitaev honeycomb model under a thermal quench is dominated by the quasi-stochastic diffusion and pair annihilation of visions, which are gapped flux excitations of an emergent $\mathbb{Z}_2$ gauge field of the…

Strongly Correlated Electrons · Physics 2025-07-08 Yang Yang , Gia-Wei Chern

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

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 excitation spectrum of Kitaev quantum spin liquids consists of itinerant Majorana fermions, which can be gapless or gapped, and vortices of a $\mathbb{Z}_2$ gauge field, known as visons, which are always gapped. In this work, we…

Strongly Correlated Electrons · Physics 2026-04-28 Caio V. S. Soares , Rodrigo G. Pereira

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

We study magnetic excitations and thermal Hall effect on the Kitaev-Heisenberg model under magnetic fields. By employing the spin-wave theory for the magnetic orders realized in this model, we examine the topological nature of the spin-wave…

Strongly Correlated Electrons · Physics 2024-07-10 Shinnosuke Koyama , Joji Nasu

Recent experiments on Kitaev spin liquid candidate materials reported non-monotonic behavior of thermal conductivity as a function of magnetic field, which lead to conflicting interpretations of its origin. Motivated by this development, we…

Strongly Correlated Electrons · Physics 2023-01-26 Heqiu Li , Yong Baek Kim , Hae-Young Kee

The Kitaev quantum spin liquid possesses two fractional quasiparticles, itinerant Majorana fermions and localized visons. It provides a promising platform for realizing a Majorana zero mode trapped by a vison excitation. This local mode…

Strongly Correlated Electrons · Physics 2023-12-22 Chihiro Harada , Atsushi Ono , Joji Nasu

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 Kitaev model offers a platform for quantum spin liquids (QSLs) with fractional excitations, itinerant Majorana fermions and localized fluxes. Since these fractional excitations could be utilized for quantum computing, how to create,…

Strongly Correlated Electrons · Physics 2023-09-19 Takahiro Misawa , Joji Nasu , Yukitoshi Motome

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

The bond-disordered Kitaev model attracts much attention due to the experimental relevance in $\alpha$-RuCl$_3$ and $A_3$LiIr$_2$O$_6$ ($A=$ H, D, Ag, $\textit{etc.}$). Applying a magnetic field to break the time-reversal symmetry leads to…

Strongly Correlated Electrons · Physics 2020-11-09 Masahiko G. Yamada

We present a general classification of the perturbations to the Kitaev model on the basis of their effect on it's spin correlation functions. We derive a necessary and sufficient condition for the spin correlators to exhibit a long ranged…

Strongly Correlated Electrons · Physics 2015-05-20 S. Mandal , Subhro Bhattacharjee , K. Sengupta , R. Shankar , G. Baskaran

We theoretically show that the Kitaev interaction generates a novel class of spin texture in the excitation spectrum of the antiferromagnetic insulator found in the Kitaev-Heisenberg-$\Gamma$ model. In conducting electronic systems, there…

Strongly Correlated Electrons · Physics 2019-11-07 Masataka Kawano , Chisa Hotta

In the Kitaev honeycomb model, the quantum spin fractionalizes into itinerant Majorana and gauge flux spontaneously upon cooling, leading to rich experimental ramifications at finite temperature and an upsurge of research interest. In this…

Strongly Correlated Electrons · Physics 2020-10-07 Han Li , Dai-Wei Qu , Hao-Kai Zhang , Yi-Zhen Jia , Shou-Shu Gong , Yang Qi , Wei Li

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

Using unbiased Monte Carlo simulations and variational analysis, we present the ground state and finite temperature phase diagrams of an exactly solvable spin-orbital model with Kitaev-type interactions on a square lattice. We show that an…

Strongly Correlated Electrons · Physics 2024-01-29 Ritwika Majumder , Onur Erten , Anamitra Mukherjee

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
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