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We present a general classification of the perturbations to the Kitaev model on the basis of their effect on it's spin correlation functions. We derive a necessary and sufficient condition for the spin correlators to exhibit a long ranged…

强关联电子 · 物理学 2015-05-20 S. Mandal , Subhro Bhattacharjee , K. Sengupta , R. Shankar , G. Baskaran

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

The identification of quantum spin liquid phases in Kitaev candidate materials remains a major experimental challenge. Since most Kitaev candidates develop antiferromagnetic (AFM) order at low temperatures, currently there are great…

We study the 3D Kitaev and Kitaev-Heisenberg models respectively on the hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the thermodynamic limit. Our analysis relies on advanced tensor network (TN)…

强关联电子 · 物理学 2021-09-08 Saeed S. Jahromi , Hadi Yarloo , Roman Orus

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…

强关联电子 · 物理学 2016-02-17 Joji Nasu , Yukitoshi Motome

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

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

强关联电子 · 物理学 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

强关联电子 · 物理学 2026-03-30 Jennifer Lin , Frank Krüger

The quest for Kitaev spin liquids in particular three dimensional solids is long sought goal in condensed matter physics, as these states may give rise to exotic new types of quasi-particle excitations carrying fractional quantum numbers…

强关联电子 · 物理学 2020-01-22 Birender Singh , M. Vogl , S. Wurmehl , S. Aswartham , B. Büchner , Pradeep Kumar

We investigate the effect of a magnetic field on the extended Kitaev spin liquid state through phonon dynamics. Using a constrained fermionic self-consistent mean field method, we analyze the quantum spin liquid (QSL) ground state for the…

强关联电子 · 物理学 2024-12-06 Susmita Singh , P. Peter Stavropoulos , Natalia B. Perkins

We demonstrate topological characterization of $S=\frac{1}{2}$ Kitaev quantum spin liquids on a series of one-dimensional honeycomb nanoribbon lattices with zigzag and armchair terminated edges. We draw their Majorana spinon phase diagrams…

强关联电子 · 物理学 2023-06-21 Ryuto Tadokoro , Shoji Yamamoto

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 fluctuations in the effective spin one-half layered structure triangular-lattice quantum Heisenberg antiferromagnet Ba$_3$CoSb$_2$O$_9$ lift the classical degeneracy of the antiferromagnetic ground state in magnetic field, producing…

强关联电子 · 物理学 2021-06-02 N. A. Fortune , Q. Huang , T. Hong , J. Ma , E. S. Choi , S. T. Hannahs , Z. Y. Zhao , X. F. Sun , Y. Takano , H. D. Zhou

Spin-orbital generalizations of Kitaev model, such as Yao-Lee model, have attracted recent attention due to their enhanced stability of spin liquid phases against perturbations. Motivated by microscopic calculations for the realization of…

强关联电子 · 物理学 2025-07-30 Muhammad Akram , Aayush Vijayvargia , Hae-Young Kee , Onur Erten

The competition between fractionalized spin-liquid states and magnetically ordered phases is an important paradigm in frustrated magnetism. Spin-orbit coupled Mott insulators with Ising-like magnetic anisotropies, such as Kitaev materials,…

强关联电子 · 物理学 2022-12-08 G. Shankar , Chien-Hung Lin , Joseph Maciejko

We formulate a Majorana mean-field theory for the extended $JK\Gamma$ Kitaev model in a magnetic Zeeman field of arbitrary direction, and apply it for studying spatially inhomogeneous states harboring vortices. This mean-field theory is…

强关联电子 · 物理学 2024-04-02 Lucas R. D. Freitas , Tim Bauer , Reinhold Egger , Rodrigo G. Pereira

A bond-directional anisotropic exchange interaction, called the Kitaev interaction, is a promising route to realize quantum spin liquids. The Kitaev interactions were found in Mott insulators with the strong spin-orbit coupling, in the…

强关联电子 · 物理学 2020-04-08 Yusuke Sugita , Yasuyuki Kato , Yukitoshi Motome

Quantum spin liquid is a disordered magnetic state with fractional spin excitations. Its clearest example is found in an exactly solved Kitaev honeycomb model where a spin flip fractionalizes into two types of anyons, quasiparticles that…

强关联电子 · 物理学 2018-05-10 N. Janša , A. Zorko , M. Gomilšek , M. Pregelj , K. W. Krämer , D. Biner , A. Biffin , Ch. Rüegg , M. Klanjšek

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 the theoretical results for the Majorana band structure and thermal transport properties in the Kitaev honeycomb model under a staggered magnetic field in addition to a uniform one. The Majorana band structure is asymmetrically…

强关联电子 · 物理学 2022-05-13 Kazuki Nakazawa , Yasuyuki Kato , Yukitoshi Motome