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Related papers: An introduction to Kitaev model-I

200 papers

We study the effect of site dilution in Kitaev's model. We derive an analytical solution of the dynamical spin correlation functions for arbitrary configurations of $Z_2$ fluxes. By incorporating this solution into classical Monte Carlo…

Strongly Correlated Electrons · Physics 2018-12-26 Masafumi Udagawa

We propose Majorana-assisted nonlocal spin correlation as a manifestation of Majorana nonlocality in quasi-one-dimensional (1D) Kitaev spin liquids. Focusing on the flux-free sector of the Kitaev honeycomb model in a quasi-1D geometry, we…

Strongly Correlated Electrons · Physics 2026-03-27 Yuki Yamazaki , Shingo Kobayashi , Akira Furusaki

Spin-orbital liquids are quantum disordered states in systems with entangled spin and orbital degrees of freedom. We study exactly solvable spin-orbital models in two dimensions with selected Heisenberg-, Kitaev-, and $\Gamma$-type…

Strongly Correlated Electrons · Physics 2021-03-03 Sreejith Chulliparambil , Lukas Janssen , Matthias Vojta , Hong-Hao Tu , Urban F. P. Seifert

Interacting spins in quantum magnet can cooperate and exhibit exotic states like the quantum spin liquid. To explore the materialization of such intriguing states, the determination of effective spin Hamiltonian of the quantum magnet is…

Strongly Correlated Electrons · Physics 2021-09-01 Sizhuo Yu , Yuan Gao , Bin-Bin Chen , Wei Li

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

Quantum Physics · Physics 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

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…

Strongly Correlated Electrons · Physics 2018-09-12 Shuang Liang , Bosen He , Zhaoyang Dong , Wei Chen , Jianxin Li , Qianghua Wang

We study the spin-$S$ Kitaev model in the classical ($S \to \infty$) limit using Monte Carlo simulations combined with semi-classical spin dynamics. We discuss differences and similarities in the dynamical structure factors of the…

Strongly Correlated Electrons · Physics 2017-10-11 A. M. Samarakoon , A. Banerjee , S. -S. Zhang , Y. Kamiya , S. E. Nagler , D. A. Tennant , S. -H. Lee , C. D. Batista

Bond-dependent magnetic interactions, particularly those described by the Kitaev model, have emerged as a key pathway toward realizing unconventional magnetic states such as quantum spin liquids and topologically nontrivial excitations,…

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…

Strongly Correlated Electrons · Physics 2026-04-28 Caio V. S. Soares , Rodrigo G. Pereira

A central question on Kitaev materials is the effects of additional couplings on the Kitaev model which is proposed to be a candidate for realizing topological quantum computations. However, two spatial dimension typically suffers the…

Strongly Correlated Electrons · Physics 2020-08-26 Wang Yang , Alberto Nocera , Ian Affleck

We calculate the Raman response for the Kitaev spin model on the $\mathcal{H}$-$0$, $\mathcal{H}$-$1$, and $\mathcal{H}$-$\infty$ harmonic honeycomb lattices. We identify several quantitative features in the Raman spectrum that are…

Strongly Correlated Electrons · Physics 2015-09-30 Brent Perreault , Johannes Knolle , Natalia B. Perkins , F. J. Burnell

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

Strongly Correlated Electrons · Physics 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

We study the thermodynamic properties of modified spin-$S$ Kitaev models introduced by Baskaran, Sen and Shankar (Phys. Rev. B 78, 115116 (2008)). These models have the property that for half-odd-integer spins their eigenstates map on to…

Strongly Correlated Electrons · Physics 2021-02-09 Owen Bradley , Jaan Oitmaa , Diptiman Sen , Rajiv R. P. Singh

We consider an exact solvable interacting spinful Kitaev chain which is a generalization of the Mattis-Nam model. A nearest-neighbor dimerized interaction favoring the production of disjoint molecules drives the quantum phase into an…

Quantum Physics · Physics 2019-12-05 Gianluca Francica , Paola Gentile , Mario Cuoco

In this general article, we map the one-dimensional transverse field quantum Ising model of ferromagnetism to Kitaev's one-dimensional p-wave superconductor, which has its application in fault-tolerant topological quantum computing. Mapping…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Kartik Chhajed

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

Strongly Correlated Electrons · Physics 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

The Kitaev model on a honeycomb lattice may provide a robust topological quantum memory platform, but finding a material that realizes the unique spin liquid phase remains a considerable challenge. We demonstrate that an effective Kitaev…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Tessa Cookmeyer , Sankar Das Sarma

Recently, the family of rare-earth chalcohalides were proposed as candidate compounds to realize the Kitaev spin liquid (KSL). In the present work, we firstly propose an effective spin Hamiltonian consistents with the symmetry group of the…

Strongly Correlated Electrons · Physics 2021-09-01 Mengjie Sun , Huihang Lin , Zheng Zhang , Yanzhen Cai , Wei Ren , Jing Kang , Jianting Ji , Feng Jin , Xiaoqun Wang , Rong Yu , Qingming Zhang , Zhengxin Liu

We theoretically study THz-light-driven high-harmonic generation (HHG) in the spin-liquid states of the Kitaev honeycomb model with a magnetostriction coupling between spin and electric polarization. To compute the HHG spectra, we…

Strongly Correlated Electrons · Physics 2021-08-04 Minoru Kanega , Tatsuhiko N. Ikeda , Masahiro Sato

We study the energy-density dynamics at finite momentum of the two-dimensional Kitaev spin-model on the honeycomb lattice. Due to fractionalization of magnetic moments, the energy relaxation occurs through mobile Majorana matter, coupled to…

Strongly Correlated Electrons · Physics 2021-09-29 Alexandros Metavitsiadis , Wolfram Brenig