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Quantum spin liquids are highly fascinating quantum liquids in which the spin degrees of freedom fractionalize. An interesting class of spin liquids are the exactly solvable, three-dimensional Kitaev spin liquids. Their fractionalized…

Strongly Correlated Electrons · Physics 2018-06-22 Stephanie Matern , Maria Hermanns

Using superconducting quantum circuit elements, we propose an approach to experimentally construct a Kitaev lattice, which is an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions and having…

Superconductivity · Physics 2010-07-21 J. Q. You , Xiao-Feng Shi , Xuedong Hu , Franco Nori

Topological insulator phases of non-interacting particles have been generalized from periodic crystals to amorphous lattices, which raises the question whether topologically ordered quantum many-body phases may similarly exist in amorphous…

Strongly Correlated Electrons · Physics 2023-11-01 Gino Cassella , Peru D'Ornellas , Thomas Hodson , Willian M. H. Natori , Johannes Knolle

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

Strongly Correlated Electrons · Physics 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

Strongly Correlated Electrons · Physics 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

The ground state of the Kitaev quantum spin liquid on a honeycomb lattice is an intriguing many-body state characterized by its topological order and massive entanglement. One of the significant issues is to prepare and manipulate the…

Strongly Correlated Electrons · Physics 2025-12-05 Seongjun Park , Eun-Gook Moon

We investigate the emergence of bond-directional spin-spin interactions in a synthetic Fermi-Hubbard bilayer that can be realized with ultracold fermions in Raman optical lattices. The model exploits synthetic dimensions to couple two…

Quantum Gases · Physics 2025-11-19 Daniel González-Cuadra , Alejandro Bermudez

In the quest for realizations of quantum spin liquids, the exploration of Kitaev materials - spin-orbit entangled Mott insulators with strong bond-directional exchanges - has taken center stage. However, in these materials the local…

The Kitaev spin liquid, stabilized as the ground state of the Kitaev honeycomb model, is a paradigmatic example of a topological $\mathbb{Z}_2$ quantum spin liquid. The fate of the Kitaev spin liquid in presence of an external magnetic…

Strongly Correlated Electrons · Physics 2026-05-04 Will Holdhusen , Daniel Huerga , Gerardo Ortiz

Quantum spin liquids can arise from Kitaev magnetic interactions, and exhibit fractionalized excitations with the potential for a topological form of quantum computation. This review surveys recent experimental and theoretical progress on…

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

Kitaev's honeycomb lattice spin model is a remarkable exactly solvable model, which has a particular type of spin liquid (Kitaev spin liquid) as the ground state. Although its possible realization in iridates and $\alpha$-RuCl$_3$ has been…

Strongly Correlated Electrons · Physics 2017-08-07 Masahiko G. Yamada , Hiroyuki Fujita , Masaki Oshikawa

We investigate the ground state properties of the spin S=1 Kitaev honeycomb model under a magnetic field based on the density matrix renormalization group (DMRG) calculation. With the time reversal symmetry breaking due to the magnetic…

Strongly Correlated Electrons · Physics 2020-09-23 Zheng Zhu , Zheng-Yu Weng , D. N. Sheng

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

Strongly Correlated Electrons · Physics 2026-01-29 A. R. Moura , L. V. Santos

We calculate the Raman response for the Kitaev spin model on the $\mathcal{H}$-$0$, $\mathcal{H}$-$1$, and $\mathcal{H}$-$\infty$ harmonic honeycomb lattices. We identify several quantitative features in the Raman spectrum that are…

Strongly Correlated Electrons · Physics 2015-09-30 Brent Perreault , Johannes Knolle , Natalia B. Perkins , F. J. Burnell

In the study of quantum spin liquids, the Kitaev model plays a pivotal role due to the fact that its ground state is exactly known as well as the fact that it may be realized in strongly frustrated materials such as ${\alpha}$-RuCl${}_3$.…

Strongly Correlated Electrons · Physics 2025-05-13 Axel Fünfhaus , Mikel García-Díez , M. G. Vergniory , Thilo Kopp , Stephen M. Winter , Roser Valentí

Quantum spin liquids are long-range entangled states of matter with emergent gauge fields and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb ruthenate $\alpha$-RuCl$_3$, show magnetic order at low…

Strongly Correlated Electrons · Physics 2019-07-16 I. Rousochatzakis , S. Kourtis , J. Knolle , R. Moessner , N. B. Perkins

Spin liquid crystals are magnetic analogs of liquid crystals, possessing properties of both liquids and solids, a typical example of which are spin nematics. Spin nematics share many features with spin liquids, and the interplay between…

Strongly Correlated Electrons · Physics 2023-04-06 Rico Pohle , Nic Shannon , Yukitoshi Motome

Kitaev quantum spin liquid, massively quantum entangled states, is so scarce in nature that searching for new candidate systems remains a great challenge. Honeycomb heterostructure could be a promising route to realize and utilize such an…

Metastable states with surprising properties abound in Hilbert space. We study unfrustrated isotropic spin-\half Heisenberg models in honeycomb lattice and find emergence of \textit{metastable Kitaev spin liquids having a 2-spin nematic…

Strongly Correlated Electrons · Physics 2023-09-14 Ganapathy Baskaran