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The honeycomb Kitaev spin model provides a quantum spin liquid in the ground state, where the spin excitations are fractionalized into itinerant and localized Majorana fermions; the former spectrum has a broad continuum ranging up to a high…

Strongly Correlated Electrons · Physics 2019-10-09 Joji Nasu , Yukitoshi Motome

Quantum spin liquids (QSLs) host emergent, fractionalized fermionic excitations that are charge-neutral. Identifying clear experimental signatures of these excitations remains a central challenge in the field of strongly correlated systems,…

Strongly Correlated Electrons · Physics 2025-12-04 Penghao Zhu , Archisman Panigrahi , Leonid Levitov , Nandini Trivedi

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…

Strongly Correlated Electrons · Physics 2025-01-14 Jagannath Das , Sarbajaya Kundu , Aman Kumar , Vikram Tripathi

Motivated by recent reports of a field-induced intermediate phase (IP) in the antiferromagnetic honeycomb Kitaev model that may be a spin liquid whose nature is distinct from the Kitaev Z2 phase, we present a detailed numerical study on the…

Strongly Correlated Electrons · Physics 2019-11-11 David A. S. Kaib , Stephen M. Winter , Roser Valenti

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…

Quantum Physics · Physics 2023-11-16 Guo-Yi Zhu , Simon Trebst

The search for fractionalization in quantum spin liquids largely relies on their decoupling with the environment. However, the spin-lattice interaction is inevitable in a real setting. While the Majorana fermion evades a strong decay due to…

Strongly Correlated Electrons · Physics 2020-08-11 Mengxing Ye , Rafael M. Fernandes , Natalia B. Perkins

Mechanical strain can generate a pseudo-magnetic field, and hence Landau levels (LL), for low energy excitations of quantum matter in two dimensions. We study the collective state of the fractionalised Majorana fermions arising from…

Strongly Correlated Electrons · Physics 2021-04-28 Adhip Agarwala , Subhro Bhattacharjee , Johannes Knolle , Roderich Moessner

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…

Strongly Correlated Electrons · Physics 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

Recent advances in programmable quantum devices brought to the fore the intriguing possibility of using them to realise and investigate topological quantum spin liquid phases. This new and exciting direction brings about important research…

Quantum Physics · Physics 2023-11-15 Shiyu Zhou , Maria Zelenayova , Oliver Hart , Claudio Chamon , Claudio Castelnovo

A quantum spin liquid hosts massive quantum entanglement whose identification is one of the most significant problems in physics. Yet, its detection is known to be notoriously difficult because of featureless properties without a symmetry…

Strongly Correlated Electrons · Physics 2024-12-17 Minsu Park , Masafumi Udagawa , Eun-Gook Moon

Quantum spin liquid (QSL), a state characterized by exotic low energy fractionalized excitations and statistics is still elusive experimentally and may be gauged via indirect experimental signatures. Remnant of QSL phase may reflect in the…

Strongly Correlated Electrons · Physics 2023-03-29 Vivek Kumar , Deepu Kumar , Birender Singh , Yuliia Shemerliuk , Mahdi Behnami , Bernd Buchner , Saicharan Aswartham , Pradeep Kumar

The fate of exotic spin liquid states with fractionalized excitations at finite temperature ($T$) is of great interest, since signatures of fractionalization manifest in finite-temperature ($T$) dynamics in real systems, above the tiny…

Strongly Correlated Electrons · Physics 2017-04-20 Subhasree Pradhan , M. S. Laad , Avijeet Ray , T. Maitra , A. Taraphder

In the Kitaev honeycomb model, the quantum spin fractionalizes into itinerant Majorana and gauge flux spontaneously upon cooling, leading to rich experimental ramifications at finite temperature and an upsurge of research interest. In this…

Strongly Correlated Electrons · Physics 2020-10-07 Han Li , Dai-Wei Qu , Hao-Kai Zhang , Yi-Zhen Jia , Shou-Shu Gong , Yang Qi , Wei Li

We study the critical scaling and dynamical signatures of fractionalized excitations at two different deconfined quantum critical points (DQCPs) in an $S = 1/2$ spin chain by using the time evolution of infinite matrix product states. The…

Strongly Correlated Electrons · Physics 2022-03-04 Ning Xi , Rong Yu

Quantum spin liquids are long-range entangled states of matter with emergent gauge fields and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb ruthenate $\alpha$-RuCl$_3$, show magnetic order at low…

Strongly Correlated Electrons · Physics 2019-07-16 I. Rousochatzakis , S. Kourtis , J. Knolle , R. Moessner , N. B. Perkins

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

The quantum Hall effect (QHE) in two-dimensional (2D) electron gases, which is one of the most striking phenomena in condensed matter physics, involves the topologically protected dissipationless charge current flow along the edges of the…

Strongly Correlated Electrons · Physics 2018-08-02 Y. Kasahara , T. Ohnishi , Y. Mizukami , O. Tanaka , Sixiao Ma , K. Sugii , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , T. Shibauchi , Y. Matsuda

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…

Strongly Correlated Electrons · Physics 2020-06-23 Saptarshi Mandal , Arun M Jayannavar

Finite-temperature ($T$) properties of a Kitaev model defined on a honeycomb lattice are investigated by a quantum Monte Carlo simulation, from the viewpoint of fractionalization of quantum $S=1/2$ spins into two types of Majorana fermions,…

Strongly Correlated Electrons · Physics 2015-09-30 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

We analyse the dynamical response of a range of 3D Kitaev quantum spin-liquids, using lattice models chosen to explore the different possible low-energy spectra for gapless Majorana fermions, with either Fermi surfaces, nodal lines or Weyl…

Strongly Correlated Electrons · Physics 2016-06-29 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner