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The pure Kitaev honeycomb model harbors a quantum spin liquid in zero magnetic fields, while applying finite magnetic fields induces a topological spin liquid with non-Abelian anyonic excitations. This latter phase has been much sought…

Strongly Correlated Electrons · Physics 2020-03-31 Dirk Wulferding , Youngsu Choi , Seung-Hwan Do , Chan Hyeon Lee , Peter Lemmens , Clement Faugeras , Yann Gallais , Kwang-Yong Choi

Fractionalized excitations are of considerable interest in recent condensed-matter physics. Fractionalization of the spin degrees of freedom into localized and itinerant Majorana fermions are predicted for the Kitaev spin liquid, an exactly…

Strongly Correlated Electrons · Physics 2019-03-18 S. Widmann , V. Tsurkan , D. A. Prishchenko , V. G. Mazurenko , A. A. Tsirlin , A. Loidl

Quantum spin liquid involves fractionalized quasipariticles such as spinons and visons. They are expressed as itinerant Majorana fermions and $Z_2$ fluxes in the Kitaev model with bond-dependent exchange interactions on a honeycomb spin…

Strongly Correlated Electrons · Physics 2020-02-05 Y. Nagai , T. Jinno , Y. Yoshitake , J. Nasu , Y. Motome , M. Itoh , Y. Shimizu

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

Strongly Correlated Electrons · Physics 2025-10-10 Kiyu Fukui , Yukitoshi Motome

Quantum spin liquids subject to a periodic drive can display fascinating non-equilibrium heating behavior because of their emergent fractionalized quasi-particles. Here, we investigate a driven Kitaev honeycomb model and examine the…

Strongly Correlated Electrons · Physics 2024-06-13 Hui-Ke Jin , Johannes Knolle , Michael Knap

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

Motivated by the growing interest in spin liquids and topological phases, as well as the rise of deformation engineering, we study the combined effects of deformation and magnetic fields on the honeycomb Kitaev model. The Kitaev model, as…

Strongly Correlated Electrons · Physics 2026-05-20 Abdullah AlJishi , Ali AlSwaid , Moayad Ekhwan , Hocine Bahlouli , Raditya Weda Bomantara , Michael Vogl

Fractionalization is a hallmark of spin-liquid behavior; it typically leads to response functions consisting of continua instead of sharp modes. However, microscopic processes can enable the formation of short-distance bound states of…

Strongly Correlated Electrons · Physics 2017-08-09 Hugo Theveniaut , Matthias Vojta

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

We characterize the response of a Mott insulating system to a static electric field in terms of its conducting and spectral properties. Dissipation is included by a coupling to fermionic baths and to either optical or acoustic phonons. This…

Strongly Correlated Electrons · Physics 2023-05-10 Tommaso Maria Mazzocchi , Daniel Werner , Paolo Gazzaneo , Enrico Arrigoni

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

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

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

Spin liquids may host emergent quasiparticles, collective excitations of the spin degrees of freedom with characteristic features of Majorana fermions, which experimentally are detectable by broad excitation continua due to spin…

Strongly Correlated Electrons · Physics 2019-09-18 S. Reschke , V. Tsurkan , S. -H. Do , K. -Y. Choi , P. Lunkenheimer , Zhe Wang , A. Loidl

There have been substantial recent efforts, both experimentally and theoretically, to find a material realization of the Kitaev spin-liquid--the ground state of the exactly solvable Kitaev model on the honeycomb lattice. Candidate materials…

Strongly Correlated Electrons · Physics 2023-07-12 Tessa Cookmeyer , Joel E. Moore

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…

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

Elementary quasiparticles in solids such as phonons and magnons occasionally have nontrivial interactions between them, as well as among themselves. As a result, their energy eigenvalues are renormalized, the quasiparticles spontaneously…

Strongly Correlated Electrons · Physics 2019-04-02 Taehun Kim , Kisoo Park , Jonathan C. Leiner , Je-Geun Park

We have studied the anti-ferromagnetic Kitaev model on a honeycomb lattice under the Zeeman field, using an extensive Majorana mean-field analysis. When the magnetic field is along a specific Cartesian axis, we find that the emergent fields…

Strongly Correlated Electrons · Physics 2026-03-04 Sheikh Moonsun Pervez

Topologically ordered states of matter are generically characterized by excitations with quantum number fractionalization. A prime example is the spin liquid realized in Kitaev's honeycomb-lattice compass model where spin-flip excitations…

Strongly Correlated Electrons · Physics 2018-11-12 C. Wellm , J. Zeisner , A. Alfonsov , A. U. B. Wolter , M. Roslova , A. Isaeva , T. Doert , M. Vojta , B. Büchner , V. Kataev