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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…

Two- and three-dimensional Kitaev magnets are prototypical frustrated quantum spin systems, in which the original spin degrees of freedom fractionalize into Majorana fermions and a $\mathbb{Z}_2$ gauge field -- a purely local phenomenon…

强关联电子 · 物理学 2019-11-06 T. Eschmann , P. A. Mishchenko , T. A. Bojesen , Y. Kato , M. Hermanns , Y. Motome , S. Trebst

In the field of frustrated magnetism, Kitaev models provide a unique framework to study the phenomena of spin fractionalization and emergent lattice gauge theories in two and three spatial dimensions. Their ground states are quantum spin…

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3].…

强关联电子 · 物理学 2014-05-26 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

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…

强关联电子 · 物理学 2026-01-22 Shi Feng , Nandini Trivedi

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…

强关联电子 · 物理学 2018-06-22 Stephanie Matern , Maria Hermanns

The fractionalization of quantum numbers in interacting quantum-many body systems is a central motif in condensed matter physics with prominent examples including the fractionalization of the electron in quantum Hall liquids or the…

强关联电子 · 物理学 2015-04-16 Maria Hermanns , Kevin O'Brien , Simon Trebst

This pedagogical article is aimed to the beginning graduate students interested in broad field of frustrated magnetism. We introduce and present some of the exact results obtained in Kitaev model. The Kitaev model embodies an unusual two…

强关联电子 · 物理学 2020-06-23 Saptarshi Mandal , Arun M Jayannavar

A three-dimensional Kitaev model on a hyperhoneycomb lattice is investigated numerically at finite temperature. The Kitaev model is one of the solvable quantum spin models, where the ground state is given by gapped and gapless spin liquids,…

强关联电子 · 物理学 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

Spin-orbital liquids provide an exactly solvable route to three-dimensional Z2 quantum spin liquids beyond the original Kitaev setting. Built from higher-dimensional Clifford-algebra representations, spin-orbital Hamiltonians can be…

强关联电子 · 物理学 2026-02-09 Anna Sandberg , Lukas Rødland , Maria Hermanns

We investigate the signatures of fractionalization in quantum spin liquids by studying different phases of the Kitaev honeycomb model in the presence of an out-of-plane magnetic field through which the model becomes non-integrable. Using…

强关联电子 · 物理学 2025-03-13 Kang Wang , Shi Feng , Penghao Zhu , Runze Chi , Hai-Jun Liao , Nandini Trivedi , Tao Xiang

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…

强关联电子 · 物理学 2016-06-29 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

The excitation spectrum of Kitaev quantum spin liquids consists of itinerant Majorana fermions, which can be gapless or gapped, and vortices of a $\mathbb{Z}_2$ gauge field, known as visons, which are always gapped. In this work, we…

强关联电子 · 物理学 2026-04-28 Caio V. S. Soares , Rodrigo G. Pereira

A Majorana fermion is a fermionic particle that is its own antiparticle. Since the theoretical discovery in 1937, the exotic particle has long been searched in particle physics. In the last few decades, however, it has attracted renewed…

强关联电子 · 物理学 2019-12-23 Yukitoshi Motome , Joji Nasu

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…

强关联电子 · 物理学 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order…

强关联电子 · 物理学 2018-03-22 Maria Hermanns , Itamar Kimchi , Johannes Knolle

Fractionalization is a hallmark of spin-liquid behavior; it typically leads to response functions consisting of continua instead of sharp modes. However, microscopic processes can enable the formation of short-distance bound states of…

强关联电子 · 物理学 2017-08-09 Hugo Theveniaut , Matthias Vojta

We present certain exact analytical results for dynamical spin correlation functions in the Kitaev Model. It is the first result of its kind in non-trivial quantum spin models. The result is also novel: in spite of presence of gapless…

强关联电子 · 物理学 2009-11-11 G. Baskaran , Saptarshi Mandal , R. Shankar

Unambiguous identification of fractionalized excitations in quantum spin liquids has been a long-standing issue in correlated topological phases. Conventional spectroscopic probes, such as the dynamical spin structure factor, can only…

强关联电子 · 物理学 2021-10-11 Wonjune Choi , Ki Hoon Lee , Yong Baek Kim

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…

强关联电子 · 物理学 2025-10-10 Kiyu Fukui , Yukitoshi Motome
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