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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…

The honeycomb magnet $\alpha-$RuCl$_3$ is a prime candidate material for realizing the Kitaev quantum spin liquid (QSL), but it shows long-range magnetic order at low temperature. Nevertheless, its broad inelastic neutron scattering (INS)…

Strongly Correlated Electrons · Physics 2022-11-23 Oliver Franke , Dumitru Călugăru , Andreas Nunnenkamp , Johannes Knolle

In an external magnetic field perpendicular to the plane of the layers, the quasi two-dimensional frustrated antiferromagnet Cs_2CuCl_4 exhibits a magnetically ordered "cone state" at low temperatures. In this state the component of the…

Strongly Correlated Electrons · Physics 2011-07-18 Andreas Kreisel , Peter Kopietz , Pham Thanh Cong , Bernd Wolf , Michael Lang

Temperature evolution of the spin correlation and excitation spectrum is investigated for a Kitaev model defined on a decorated honeycomb lattice by using the quantum Monte Carlo simulation in the Majorana fermion representation. The ground…

Strongly Correlated Electrons · Physics 2016-02-17 Joji Nasu , Yukitoshi Motome

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,…

Using a combination of first-principles and magnetization-dynamics calculations, we study the effect of the intense optical excitation of phonons on the magnetic behavior in insulating magnetic materials. Taking the prototypical…

Strongly Correlated Electrons · Physics 2018-06-13 M. Fechner , A. Sukhov , L. Chotorlishvili , C. Kenel , J. Berakdar , N. A. Spaldin

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

Honeycomb lattice Kitaev magnets exhibit exotic magnetic properties governed by the Kitaev interaction. This study delves into $\alpha$-RuCl$_3$, a prototypical example described by effective Hamiltonians encompassing bond-dependent Kitaev…

Strongly Correlated Electrons · Physics 2025-05-29 Hamid Mosadeq , Mohammad-Hossein Zare

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

The recent report of a half-quantized thermal Hall effect in the Kitaev material $\alpha$-RuCl$_3$ has sparked a strong debate on whether it is generated by Majorana fermion edge currents or whether other more conventional mechanisms…

The Kitaev model, which involves bond-direction-dependent spin interactions on a honeycomb lattice, has attracted significant interest due to its exact solvability and potential uses in quantum computing. A key feature of this model is the…

Strongly Correlated Electrons · Physics 2025-08-12 Taekoo Oh , Naoto Nagaosa

We present high-field electron spin resonance (ESR) studies of the honeycomb-lattice material $\alpha$-RuCl$_3$, a prime candidate to exhibit Kitaev physics. Two modes of antiferromagnetic resonance were detected in the zigzag ordered…

Despite being relevant to better understand the properties of honeycomb-like systems, as graphene-based compounds, the electron-phonon interaction is commonly disregarded in theoretical approaches. That is, the effects of phonon fields on…

Strongly Correlated Electrons · Physics 2021-03-17 Natanael C. Costa , Kazuhiro Seki , Sandro Sorella

The excitations in the Kitaev spin liquid (KSL) can be described by Majorana fermions, which have characteristic field dependence of bulk gap and topological edge modes. In the high-field state of layered honeycomb magnet $\alpha$-RuCl$_3$,…

Strongly Correlated Electrons · Physics 2024-03-13 K. Imamura , Y. Mizukami , O. Tanaka , R. Grasset , M. Konczykowski , N. Kurita , H. Tanaka , Y. Matsuda , M. G. Yamada , K. Hashimoto , T. Shibauchi

$^7$Li nuclear magnetic resonance (NMR) and terahertz (THz) spectroscopies are used to probe magnetic excitations and their field dependence in the hyperhoneycomb Kitaev magnet $\beta$-Li$_2$IrO$_3$. Spin-lattice relaxation rate ($1/T_1$)…

Strongly Correlated Electrons · Physics 2020-06-16 M. Majumder , M. Prinz-Zwick , S. Reschke , A. Zubtsovskii , T. Dey , F. Freund , N. Büttgen , A. Jesche , I. Kézsmárki , A. A. Tsirlin , P. Gegenwart

We report an inelastic light scattering study of single-crystalline NaCu$_2$O$_2$, a spin-chain compound known to exhibit a phase with helical magnetic order at low temperatures. Phonon excitations were studied as a function of temperature…

Strongly Correlated Electrons · Physics 2009-11-11 K. -Y. Choi , V. P. Gnezdilov , P. Lemmens , L. Capogna , M. R. Johnson , M. Sofin , A. Maljuk , M. Jansen , B. Keimer

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

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…

The latest experimental advances have extended the scenario of coupling mechanical degrees of freedom in chiral magnets (MnSi/MnGe) to the topologically nontrivial skyrmion crystal and even monopole lattices. Equipped with a spin-wave…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 Xiao-Xiao Zhang , Naoto Nagaosa

We study the gapped phase of the Kitaev model on the honeycomb lattice using perturbative continuous unitary transformations. The effective low-energy Hamiltonian is found to be an extended toric code with interacting anyons. High-energy…

Other Condensed Matter · Physics 2008-05-06 K. P. Schmidt , S. Dusuel , J. Vidal