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The $S=1/2$ Kitaev honeycomb model has attracted significant attention as an exactly solvable example with a quantum spin liquid ground state. In a properly oriented external magnetic field, chiral Majorana edge modes associated with a…

强关联电子 · 物理学 2022-03-23 Pedro M. Cônsoli , Eric C. Andrade

Magnetic fields can give rise to a plethora of phenomena in Kitaev spin systems, such as the formation of non-trivial spin liquids in two and three spatial dimensions. For the original honeycomb Kitaev model, it has recently been observed…

强关联电子 · 物理学 2020-07-01 Christoph Berke , Simon Trebst , Ciarán Hickey

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

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

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…

强关联电子 · 物理学 2025-02-12 Hibiki Takegami , Takao Morinari

We study the effects of the flux configurations on the emergent Majorana fermions in the $S=1/2$ Kitaev model on a honeycomb lattice, where quantum spins are fractionalized into itinerant Majorana fermions and localized fluxes. A quantum…

强关联电子 · 物理学 2021-06-16 Akihisa Koga , Yuta Murakami , Joji Nasu

We study the response of the Kitaev spin liquid (KSL) to a local magnetic field perpendicular to the Kitaev honeycomb lattice. The local magnetic field induces a dynamical excitation of a flux pair in the spin liquid and the system can be…

强关联电子 · 物理学 2018-09-12 Shuang Liang , Bosen He , Zhaoyang Dong , Wei Chen , Jianxin Li , Qianghua Wang

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

Highly entangled excitations such as Majorana fermions of Kitaev quantum spin liquids have been proposed to be utilized for future quantum science and technology, and a deeper understanding of such excitations has been strongly desired.…

强关联电子 · 物理学 2023-08-03 Pureum Noh , Kyusung Hwang , Eun-Gook Moon

Spin systems with honeycomb structures have recently attracted a great deal of attention in connection with the Kitaev quantum spin liquid state (QSL) predicted theoretically. One possible Kitaev QSL candidate is Na$_2$Co$_2$TeO$_6$…

强关联电子 · 物理学 2023-12-11 A. K. Bera , S. M. Yusuf , F. Orlandi , P. Manuel , L. Bhaskaran , S. A. Zvyagin

Ultracold atoms and molecules trapped in optical lattices are expected to serve as simulators of strongly correlated systems and topological states of matter. A fascinating example is to realize the Kitaev quantum spin liquid by using…

强关联电子 · 物理学 2022-07-29 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

The proliferation of quantum fluctuations and long-range entanglement presents an outstanding challenge for the numerical simulation of interacting spin systems with exotic ground states. Here, we present a toolset of Chebyshev…

强关联电子 · 物理学 2024-02-28 Francisco M. O. Brito , Aires Ferreira

The honeycomb Kitaev model describes a $Z_2$ spin liquid with topological order and fractionalized excitations consisting of gapped $\pi$-fluxes and free Majorana fermions. Competing interactions, even when not very strong, are known to…

强关联电子 · 物理学 2025-01-14 Jagannath Das , Sarbajaya Kundu , Aman Kumar , Vikram Tripathi

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 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…

The interface between a ferro-/ferrimagnetic insulator and a normal metal can support spin currents polarized collinear with and perpendicular to the magnetization direction. The flow of angular momentum perpendicular to the magnetization…

介观与纳米尺度物理 · 物理学 2023-01-23 David A. Reiss , Piet W. Brouwer

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

We propose a planar tunneling setup to probe vacancy-bound Majorana modes in the chiral Kitaev spin liquid. In this geometry, the inelastic tunneling conductance can be expressed directly in terms of real-space spin correlations,…

强关联电子 · 物理学 2026-02-17 Weiyao Li , Vitor Dantas , Wen-Han Kao , Natalia B. Perkins

Single atomic defects are prominent windows to look into host quantum states because collective responses from the host states emerge as localized states around the defects. Friedel oscillations and Kondo clouds in Fermi liquids are…

Kitaev interactions underlying a quantum spin liquid have been long sought, but experimental data from which their strengths can be determined directly is still lacking. Here, by carrying out inelastic neutron scattering measurements on…