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In transition-metal compounds with partially filled $4d$ and $5d$ shells spin-orbit entanglement, electronic correlations, and crystal-field effects conspire to give rise to a variety of novel forms of topological quantum matter. This…

Strongly Correlated Electrons · Physics 2017-01-26 Simon Trebst

This article is an introductory review of the physics of quantum spin liquid (QSL) states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin…

Strongly Correlated Electrons · Physics 2017-04-21 Yi Zhou , Kazushi Kanoda , Tai-Kai Ng

For 25 years condensed matter physicists have searched for a material that realizes a macroscopic quantum state of matter, the quantum spin liquid. Recent experiments show that the necessary interaction may be found in a family of hexagonal…

Strongly Correlated Electrons · Physics 2016-12-07 N. P. Armitage

Kitaev interactions underlying a quantum spin liquid have been long sought, but experimental data from which their strengths can be determined directly is still lacking. Here, by carrying out inelastic neutron scattering measurements on…

Experimental identification of quantum spin liquids remains a challenge, as the pristine nature is to be seen in asymptotically low temperatures. We here theoretically show that the precursor of quantum spin liquids appears in the spin…

Strongly Correlated Electrons · Physics 2016-10-12 Junki Yoshitake , Joji Nasu , Yukitoshi Motome

We provide an exact study of dynamical correlations for the quantum spin-orbital liquid phases of an SU(2)-symmetric Kitaev honeycomb lattice model. We show that the spin dynamics in this Kugel-Khomskii type model is exactly the…

Strongly Correlated Electrons · Physics 2020-08-07 Willian M. H. Natori , Johannes Knolle

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

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally conceived for spin $S=1/2$ moments on a honeycomb lattice. In recent years, the model has been extended to higher $S$ from both theoretical and experimental…

Strongly Correlated Electrons · Physics 2022-11-30 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

The exactly solvable Kitaev model on the honeycomb lattice has recently received enormous attention linked to the hope of achieving novel spin-liquid states with fractionalized Majorana-like excitations. In this review, we analyze the…

We identify fingerprints of a proximate quantum spin-liquid (QSL), observable by finite-temperature dynamical thermal transport within a minimal version of the idealized Kitaev model on a two-leg ladder, if subjected to inevitably present…

Strongly Correlated Electrons · Physics 2019-05-21 Alexandros Metavitsiadis , Christina Psaroudaki , Wolfram Brenig

The Kitaev model, which hosts a quantum spin liquid (QSL) in the ground state, was originally defined on a two-dimensional honeycomb lattice, but can be straightforwardly extended to any tricoordinate lattices in any spatial dimensions. In…

Strongly Correlated Electrons · Physics 2023-05-29 Kiyu Fukui , Yasuyuki Kato , Yukitoshi Motome

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

Strongly Correlated Electrons · Physics 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

The honeycomb magnet $\alpha$-RuCl$_{3}$ has been a leading candidate for realizing the Kitaev quantum spin liquid (QSL), but its intrinsic spin dynamics have remained obscured by crystal twinning. Here we apply biaxial anisotropic strain…

A quantum spin-liquid might be realized in $\alpha$-RuCl$_{3}$, a honeycomb-lattice magnetic material with substantial spin-orbit coupling. Moreover, $\alpha$-RuCl$_{3}$ is a Mott insulator, which implies the possibility that novel exotic…

The characterization of quantum spin liquid phases in Kitaev materials has been a subject of intensive studies over the recent years, both theoretically and experimentally. Most theoretical studies have focused on an isotropically…

Strongly Correlated Electrons · Physics 2024-08-01 Matthias Gohlke , Jose Carlos Pelayo , Takafumi Suzuki

Recently H$_3$LiIr$_2$O$_6$ has been reported as a spin-orbital entangled quantum spin liquid (QSL) [K. Kitagawa et al., Nature {\bf 554}, 341 (2018)], albeit its connection to Kitaev QSL has not been yet identified. To unveil the related…

Strongly Correlated Electrons · Physics 2020-05-13 Shenghai Pei , Liang-Long Huang , Gaomin Li , Xiaobin Chen , Bin Xi , XinWei Wang , Youguo Shi , Dapeng Yu , Cai Liu , Le Wang , Fei Ye , Mingyuan Huang , Jia-Wei Mei

In the Kitaev honeycomb model, spins coupled by strongly-frustrated anisotropic interactions do not order at low temperature but instead form a quantum spin liquid with spin fractionalization into Majorana fermions and static fluxes. The…

A quantum spin liquid (QSL) is an exotic state of matter in which electrons' spins are quantum entangled over long distances, but do not show symmetry-breaking magnetic order in the zero-temperature limit. The observation of QSL states is a…

Strongly Correlated Electrons · Physics 2017-03-08 J. A. M. Paddison , M. Daum , Z. L. Dun , G. Ehlers , Y. Liu , M. B. Stone , H. D. Zhou , M. Mourigal

Mott insulators with strong spin-orbit coupling have been proposed to host unconventional magnetic states, including the Kitaev quantum spin liquid. The 4$d$ system $\alpha$-RuCl$_3$ has recently come into view as a candidate Kitaev system,…

H3LiIr2O6 is the first honeycomb-lattice system without any signs of long-range magnetic order down to the lowest temperatures, raising the hope for the realization of an ideal Kitaev quantum spin liquid. Its honeycomb layers are coupled by…

Strongly Correlated Electrons · Physics 2020-05-13 K. Geirhos , P. Lunkenheimer , M. Blankenhorn , R. Claus , Y. Matsumoto , K. Kitagawa , T. Takayama , H. Takagi , I. Kézsmárki , A. Loidl
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