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Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized…

Strongly Correlated Electrons · Physics 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin analogues of the Kitaev interactions may also…

Strongly Correlated Electrons · Physics 2021-02-24 Ilia Khait , P. Peter Stavropoulos , Hae-Young Kee , Yong Baek Kim

In the quest for materials hosting Kitaev spin liquids, much of the efforts have been focused on the fourth- and fifth-row transition metal compounds, which are spin-orbit coupling assisted Mott insulators. Here, we study the structural and…

Strongly Correlated Electrons · Physics 2022-12-20 Shishir Kumar Pandey , Ji Feng

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 Kitaev model is an exactly solvable quantum spin model within the language of the constrained real fermions. In spite of numerous studies along special magnetic-field orientations, there is a limited amount of knowledge on the complete…

Strongly Correlated Electrons · Physics 2022-02-15 F. Yılmaz , A. P. Kampf , S. K. Yip

Inspired by the Affleck-Kennedy-Lieb-Tasaki (AKLT) model, we present exact solutions for a spin-1 chain with Kitaev-like couplings. We consider an expanded Kitaev model with bilinear and biquadratic terms. At an exactly solvable point, the…

Strongly Correlated Electrons · Physics 2025-10-16 Alwyn Jose Raja , R. Ganesh

The ground state of the bilayer Kitaev model with the Heisenberg-type interlayer exchange interaction is investigated by means of the exact diagonalization. Calculating the ground-state energy, local quantity defined on each plaquette, and…

Strongly Correlated Electrons · Physics 2019-05-24 Hiroyuki Tomishige , Joji Nasu , Akihisa Koga

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

The Kitaev model is a fascinating example of an exactly solvable model displaying a spin-liquid ground state in two dimensions. However, deviations from the original Kitaev model are expected to appear in real materials. In this Letter, we…

Strongly Correlated Electrons · Physics 2022-07-21 Vitor Dantas , Eric C. Andrade

In the search for quantum spin liquids, candidate materials for the Kitaev model and its extensions have been intensively explored during the past decade, as the models realize the exact quantum spin liquids in the ground state. Thus far,…

Strongly Correlated Electrons · Physics 2018-01-22 Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

The Kitaev model, renowned for its exact solvability and potential to host non-Abelian anyons, remains a focal point in the study of quantum spin liquids and topological phases. While much of the existing literature has employed Majorana…

Strongly Correlated Electrons · Physics 2025-02-12 Hibiki Takegami , Takao Morinari

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

Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin liquid phase in the Kitaev material $\alpha$-$\mathrm{RuCl}_{3}$. Although the platform is a good Mott insulator, we propose experiments that…

Strongly Correlated Electrons · Physics 2020-07-22 David Aasen , Roger S. K. Mong , Benjamin M. Hunt , David Mandrus , Jason Alicea

Motivated by experiments on spin-orbit coupled magnets with Kitaev exchange in magnetic fields, we present an analysis of the classical Kitaev honeycomb model in the presence of a magnetic field. We show that there is a spin liquid regime…

Strongly Correlated Electrons · Physics 2026-03-12 Paul A. McClarty , Roderich Moessner , Karlo Penc , Jeffrey G. Rau

The Kitaev model is an exactly solvable model with a quantum spin liquid ground state. While this model was originally proposed as an $S=1/2$ spin model on a honeycomb lattice, extensions to higher-spin systems have recently attracted…

Strongly Correlated Electrons · Physics 2025-10-01 Daiki Sasamoto , Joji Nasu

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

The exact solution of Kitaev's spin-$1/2$ honeycomb spin-liquid model has sparked an intense search for Mott insulators hosting bond-dependent Kitaev interactions, of which $\mathrm{Na}_{2}\mathrm{IrO}_{3}$ and $\alpha-\mathrm{RuCl}_{3}$…

Strongly Correlated Electrons · Physics 2020-11-04 Pedro M. Cônsoli , Lukas Janssen , Matthias Vojta , Eric C. Andrade

Thermalisation is a probabilistic process. As such, it is generally expected that when we increase the temperature of a system its classical behaviour dominates its quantum coherences. By employing the Gibbs state of a translationally…

Strongly Correlated Electrons · Physics 2019-01-29 Chris N. Self , Johannes Knolle , Sofyan Iblisdir , Jiannis K. Pachos

The spin S=$\frac{1}{2}$ Kitaev honeycomb model has attracted significant attention, since emerging candidate materials have provided a playground to test non-Abelian anyons. The Kitaev model with higher spins has also been theoretically…

Strongly Correlated Electrons · Physics 2019-07-24 P. Peter Stavropoulos , D. Pereira , Hae-Young Kee

The $KJ\Gamma\Gamma'$ spin model-originally derived for an ideal $P\bar{3}1m$ symmetric geometry-has long served as a central framework for understanding candidate Kitaev materials. In realistic crystals, however, this ideal geometry is…

Strongly Correlated Electrons · Physics 2025-06-02 Pureum Noh , Hyunggeun Lee , Myung Joon Han , Eun-Gook Moon