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The energy structure of an anisotropically interacting Kitaev model on a honeycomb lattice under triaxial strain is investigated. A numerical calculation shows that quantized states appear in the low-energy region, even when the anisotropy…

Strongly Correlated Electrons · Physics 2023-12-18 Takuto Yamada , Sei-ichiro Suga

Majorana fermions were originally proposed as elementary particles acting as their own antiparticles. In recent years, it has become clear that Majorana fermions can instead be realized in condensed-matter systems as emergent…

Strongly Correlated Electrons · Physics 2016-04-27 Stephan Rachel , Lars Fritz , Matthias Vojta

Quantum spin liquids (QSLs) host emergent, fractionalized fermionic excitations that are charge-neutral. Identifying clear experimental signatures of these excitations remains a central challenge in the field of strongly correlated systems,…

Strongly Correlated Electrons · Physics 2025-12-04 Penghao Zhu , Archisman Panigrahi , Leonid Levitov , Nandini Trivedi

Quantum spin liquids (QSLs) host a variety of fractionalized particles. In Kitaev's paradigmatic honeycomb model a spin-$\tfrac{1}{2}$ fractionalizes into $Z_2$ flux due to emergent $Z_2$ gauge field and matter Majorana fermions. Although…

Strongly Correlated Electrons · Physics 2026-01-22 Shi Feng , Nandini Trivedi

Kitaev quantum spin liquid is a topological magnetic quantum state characterized by Majorana fermions of fractionalized spin excitations, which are identical to their own antiparticles. Here, we demonstrate emergence of Majorana fermions…

We study the spin excitation spectra in magnetically ordered phases proximate to the Kitaev quantum spin liquid (KQSL). Although the low-energy universal features should be governed by the magnetic orders, the $\textit{non-universal}$…

Strongly Correlated Electrons · Physics 2026-04-07 Peng Rao , Roderich Moessner , Johannes Knolle

The unambiguous experimental detection of quantum spin liquids and, in particular, of the long-sought Kitaev quantum spin liquid (KQSL) with its Majorana fermion excitations remains an outstanding challenge. One of the major obstacles is…

Strongly Correlated Electrons · Physics 2017-05-31 Brent Perreault , Stephan Rachel , F. J. Burnell , Johannes Knolle

Magnetic moments arranged at the corners of a honeycomb lattice are predicted to form a novel state of matter, Kitaev quantum spin liquid, under the influence of frustration effects between bond-dependent Ising interactions. Some layered…

Strongly Correlated Electrons · Physics 2022-03-09 Sean K. Takahashi , Jiaming Wang , Alexandre Arsenault , Mykola Abramchuk , Fazel Tafti , Philip M. Singer , Takashi Imai

Detecting Majorana fermions in experimental realizations of the Kitaev honeycomb model is often complicated by non-trivial interactions inherent to potential spin liquid candidates. In this work, we identify several distinct thermodynamic…

Strongly Correlated Electrons · Physics 2023-12-08 Joshuah T. Heath , Faranak Bahrami , Sangyun Lee , Roman Movshovich , Xiao Chen , Fazel Tafti , Kevin S. Bedell

The Kitaev honeycomb model has attracted significant attention due to its exactly solvable spin-liquid ground state with fractionalized Majorana excitations and its possible materialization in magnetic Mott insulators with strong spin-orbit…

Strongly Correlated Electrons · Physics 2021-02-24 Wen-Han Kao , Johannes Knolle , Gábor B. Halász , Roderich Moessner , Natalia B. Perkins

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

One of the most important issues in modern condensed matter physics is the realization of fractionalized excitations, such as the Majorana excitations in the Kitaev quantum spin liquid. To this aim, the 3d-based Kitaev material Na2Co2TeO6…

The quasi two-dimensional Mott insulator $\alpha$-RuCl$_3$ is proximate to the sought-after Kitaev quantum spin liquid (QSL). In a layer of $\alpha$-RuCl$_3$ on graphene the dominant Kitaev exchange is further enhanced by strain. Recently,…

Strongly Correlated Electrons · Physics 2021-03-24 V. Leeb , K. Polyudov , S. Mashhadi , S. Biswas , Roser Valenti , M. Burghard , J. Knolle

The Kitaev model exhibits a canonical quantum spin liquid as a ground state and hosts two fractional quasiparticles, itinerant Majorana fermion and localized flux excitation. The former can carry heat and spin modulations in the quantum…

Strongly Correlated Electrons · Physics 2022-07-27 Joji Nasu , Yuta Murakami , Akihisa Koga

Quantum entanglement in strongly correlated electron systems often leads to exotic elementary excitations. Quantum spin liquids (QSLs) provide a paradigmatic example, where the elementary excitations are described by fractional…

Strongly Correlated Electrons · Physics 2025-03-10 Yasuyuki Kato , Joji Nasu , Masahiro Sato , Tsuyoshi Okubo , Takahiro Misawa , Yukitoshi Motome

We determine the phase diagrams of anisotropic Kitaev-Heisenberg models on the honeycomb lattice using parton mean-field theories based on different Majorana fermion representations of the $S=1/2$ spin operators. Firstly, we use a…

Strongly Correlated Electrons · Physics 2024-02-21 Shahnam Ghanbari Saheli , Jennifer Lin , Huanzhi Hu , Frank Krüger

The Kitaev model on a honeycomb lattice predicts a paradigmatic quantum spin liquid (QSL) exhibiting Majorana Fermion excitations. The insight that Kitaev physics might be realized in practice has stimulated investigations of candidate…

We study the effects of static magnetic and electric fields on Kitaev's honeycomb model. Using the electric polarization operator appropriate for Kitaev materials, we derive the effective Hamiltonian for the emergent Majorana fermions to…

Strongly Correlated Electrons · Physics 2021-05-05 Rajas Chari , Roderich Moessner , Jeffrey G. Rau

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect finite-temperature ($T$) properties in a…

Strongly Correlated Electrons · Physics 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

We analyse the dynamical response of a range of 3D Kitaev quantum spin-liquids, using lattice models chosen to explore the different possible low-energy spectra for gapless Majorana fermions, with either Fermi surfaces, nodal lines or Weyl…

Strongly Correlated Electrons · Physics 2016-06-29 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner
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