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The fractionalization of elementary excitations in quantum spin systems is a central theme in current condensed matter physics. The Kitaev honeycomb spin model provides a prominent example of exotic fractionalized quasiparticles, composed…

强关联电子 · 物理学 2016-09-21 A. Glamazda , P. Lemmens , S. -H. Do , Y. S. Choi , K. -Y. Choi

Time-periodic driving provides a promising route to engineer non-trivial states in quantum many-body systems. However, while it has been shown that the dynamics of integrable systems can synchronize with the driving into a non-trivial…

强关联电子 · 物理学 2016-01-22 Elena Canovi , Marcus Kollar , Martin Eckstein

A decade ago, Alexei Kitaev proposed an exactly solvable $S$ = 1/2 model on a two-dimensional honeycomb lattice, where the spins fractionalize into Majorana fermions and form a topological quantum spin liquid (QSL) in the ground state. It…

强关联电子 · 物理学 2022-01-21 Hidenori Takagi , Tomohiro Takayama , George Jackeli , Giniyat Khaliullin , Stephen E. Nagler

We study electric field induced second harmonic generation (2HG) in the Kitaev model. This frustrated magnet hosts a quantum spin-liquid, featuring fractionalization in terms of mobile Majorana fermion and static $\mathbb{Z}_{2}$ flux-vison…

强关联电子 · 物理学 2023-04-14 Olesia Krupnitska , Wolfram Brenig

Spin liquids may host emergent quasiparticles, collective excitations of the spin degrees of freedom with characteristic features of Majorana fermions, which experimentally are detectable by broad excitation continua due to spin…

强关联电子 · 物理学 2019-09-18 S. Reschke , V. Tsurkan , S. -H. Do , K. -Y. Choi , P. Lunkenheimer , Zhe Wang , A. Loidl

Topological states of matter such as quantum spin liquids (QSLs) are of great interest because of their remarkable predicted properties including protection of quantum information and the emergence of Majorana fermions. Such QSLs, however,…

The Kitaev honeycomb model (KHM) consists of spin-$1/2$ particles on a honeycomb lattice with direction-dependent Ising-like interactions. It can alternatively be described in terms of non-interacting Majorana fermions, can be solved…

强关联电子 · 物理学 2025-07-10 Alexander Sattler , Maria Daghofer

Motivated by recent experiments on $\alpha$-RuCl$_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$…

强关联电子 · 物理学 2018-02-15 Matthias Gohlke , Gideon Wachtel , Youhei Yamaji , Frank Pollmann , Yong Baek Kim

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

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 temperature (T) dependence of the dynamical structure factor of the chiral spin liquid phase of Kitaev's honeycomb model. We find, using a recently developed analytical approach, direct signatures of the Majorana modes…

强关联电子 · 物理学 2019-12-04 Masafumi Udagawa , Roderich Moessner

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

Kitaev's honeycomb model is a paradigmatic exactly solvable system hosting a quantum spin liquid with non-Abelian anyons and topologically protected edge modes, offering a platform for fault-tolerant quantum computation. However, real…

Building upon the spin-1/2 Kitaev model on a honeycomb lattice, the Yao-Lee spin-orbital model provides exactly solvable quantum spin liquids with potentially better stability against perturbations due to the additional degree of freedom.…

强关联电子 · 物理学 2026-05-21 Jiefu Cen , Hae-Young Kee

We determine the phase diagrams of anisotropic Kitaev-Heisenberg models on the honeycomb lattice using parton mean-field theories based on different Majorana fermion representations of the $S=1/2$ spin operators. Firstly, we use a…

强关联电子 · 物理学 2024-02-21 Shahnam Ghanbari Saheli , Jennifer Lin , Huanzhi Hu , Frank Krüger

Frustrated quantum magnets can harbor unconventional spin liquid ground states in which the elementary magnetic moments fractionalize into new emergent degrees of freedom. While the fractionalization of quantum numbers is one of the…

强关联电子 · 物理学 2016-07-12 Kevin O'Brien , Maria Hermanns , Simon Trebst

We study the self-energy of phonons, magnetoelastically coupled to the two-dimensional Kitaev spin-model on the honeycomb lattice. Fractionalization of magnetic moments into mobile Majorana matter and a static $\mathbb{Z}_{2}$ gauge field…

强关联电子 · 物理学 2020-01-15 Alexandros Metavitsiadis , Wolfram Brenig

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

We present numerical evidence for the presence of a finite-temperature ($T$) phase transition separating paramagnet and quantum spin liquid in a three-dimensional variant of the Kitaev model defined on a hyperhoneycomb lattice in the limit…

强关联电子 · 物理学 2015-06-17 J. Nasu , T. Kaji , K. Matsuura , M. Udagawa , Y. Motome

From the perspective of quantum many-body physics, the Floquet code of Hastings and Haah can be thought of as a measurement-only version of the Kitaev honeycomb model where a periodic sequence of two-qubit XX, YY, and ZZ measurements…

量子物理 · 物理学 2023-11-16 Guo-Yi Zhu , Simon Trebst