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We study the emergence of magnetic order in localized spins that interact solely through their coupling to a Kitaev-type spin liquid. Using three toy models -- the Kitaev model, the Yao-Lee model, and a square-lattice generalization of the…

强关联电子 · 物理学 2025-07-09 M. A. Keskiner , M. Ö. Oktel , Natalia B. Perkins , Onur Erten

The Kitaev model, characterized by bond-dependent Ising spin interactions among spin-orbit entangled dipole moments in Mott insulators, offered a new approach to quantum spin liquids. Motivated by another type of bond-dependent interaction…

强关联电子 · 物理学 2023-03-08 Ahmed Rayyan , Derek Churchill , Hae-Young Kee

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

We investigate possible topological superconductivity in the Kondo-Kitaev model on the honeycomb lattice, where the Kitaev spin liquid is coupled to conduction electrons via the Kondo coupling. We use the self-consistent Abrikosov-fermion…

强关联电子 · 物理学 2021-10-11 Wonjune Choi , Philipp W. Klein , Achim Rosch , Yong Baek Kim

We investigate how the Kitaev spin liquid state described by Majorana fermions coupled with $Z_2$ gauge fields is affected by non-Kitaev interactions which exist in real candidate materials of the Kitaev magnet. It is found that the…

强关联电子 · 物理学 2020-11-18 Daichi Takikawa , Satoshi Fujimoto

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

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…

强关联电子 · 物理学 2021-05-05 Rajas Chari , Roderich Moessner , Jeffrey G. Rau

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…

强关联电子 · 物理学 2016-10-12 Junki Yoshitake , Joji Nasu , Yukitoshi Motome

Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin liquid phase in the Kitaev material $\alpha$-$\mathrm{RuCl}_{3}$. Although the platform is a good Mott insulator, we propose experiments that…

强关联电子 · 物理学 2020-07-22 David Aasen , Roger S. K. Mong , Benjamin M. Hunt , David Mandrus , Jason Alicea

Recently considerable excitement has arisen due to the experimental observation of a field-induced spin liquid phase in the compound $\alpha$-RuCl$_3$. However, the nature of this putative spin liquid phase and the relevant microscopic…

强关联电子 · 物理学 2019-10-23 Yi-Fan Jiang , Thomas P. Devereaux , Hong-Chen Jiang

We study the spin transport through the quantum spin liquid (QSL) by investigating the real-time and real-space dynamics of the Kitaev spin system with a zigzag structure in terms of the time-dependent Majorana mean-field theory. After the…

强关联电子 · 物理学 2020-07-27 Tetsuya Minakawa , Yuta Murakami , Akihisa Koga , Joji Nasu

Spin-orbital generalization of Kitaev model provides a robust extension to the original Kitaev model. However, real materials often exhibit competing interactions that break exact solvability which can give rise to new phases. Motivated by…

强关联电子 · 物理学 2026-05-07 Ivan Dutta , Aayush Vijayvargia , Anamitra Mukherjee , Onur Erten , Kush Saha

It is now well established that the Kitaev honeycomb model in a magnetic field along the $[111]$-direction harbors an intermediate gapless quantum spin liquid (QSL) phase sandwiched between a gapped non-abelian QSL at low fields $H< H_{c1}$…

强关联电子 · 物理学 2020-05-13 Subhasree Pradhan , Niravkumar D. Patel , Nandini Trivedi

We present a spin model, namely, the Kitaev model augmented by a loop term and perturbed by an Ising Hamiltonian and show that it exhibits both confinement-deconfinement transitions from spin liquid to…

强关联电子 · 物理学 2009-03-24 S. Mandal , S. Bhattacharjee , K. Sengupta , R. Shankar

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 propose a scenario of realizing the toric code phase, which can be potentially utilized for fault-tolerant quantum computation, in candidate materials of Kitaev magnets. It is demonstrated that four-body interactions among Majorana…

Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin analogues of the Kitaev interactions may also…

强关联电子 · 物理学 2021-02-24 Ilia Khait , P. Peter Stavropoulos , Hae-Young Kee , Yong Baek Kim

The Kitaev model is an exactly solvable quantum spin model within the language of the constrained real fermions. In spite of numerous studies along special magnetic-field orientations, there is a limited amount of knowledge on the complete…

强关联电子 · 物理学 2022-02-15 F. Yılmaz , A. P. Kampf , S. K. Yip

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

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