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Quantum spin liquid has massive many spin entanglement in the ground state, we can evaluate it by the entanglement entropy, but the latter can not be observed directly by experiment. In this manuscript, we try to characterize its…

Quantum Physics · Physics 2024-05-28 Zheng-Chuan Wang

Motivated by recent experiments on the Heisenberg S=1/2 quantum spin liquid candidate material kapellasite, we classify all possible chiral (time-reversal symmetry breaking) spin liquids with fermionic spinons on the kagome lattice. We…

Strongly Correlated Electrons · Physics 2016-02-05 Samuel Bieri , Laura Messio , Bernard Bernu , Claire Lhuillier

Identification of isolated Majorana zero modes (MZMs) is a key step towards the realization of fault-tolerant topological quantum computation. Here we show how the $T_1$-based noise magnetormetry of a nitrogen-vacancy (NV) center qubit can…

Strongly Correlated Electrons · Physics 2025-02-05 Xiao Xiao , Masahiro O. Takahashi , Paul Stevenson , Satoshi Fujimoto , Arun Bansil

The Kitaev spin liquid realizes an emergent static $\mathbb{Z}_2$ gauge field with vison excitations coupled to Majorana fermions. We consider Kitaev models stacked on top of each other, weakly coupled by Heisenberg interaction $\propto…

Strongly Correlated Electrons · Physics 2024-08-20 Aprem P. Joy , Achim Rosch

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

We show the existence of a stable Algebraic Spin Liquid (ASL) phase in a Hubbard model defined on a honeycomb lattice with spin-dependent hopping that breaks time-reversal symmetry. The effective spin model is the Kitaev model for large…

Strongly Correlated Electrons · Physics 2013-01-25 S. R. Hassan , P. V. Sriluckshmy , Sandeep K Goyal , R. Shankar , David Sénéchal

In this work we study the phase diagram of Kekul\'{e}-Kitaev model. The model is defined on a honeycomb lattice with bond dependent anisotropic exchange interactions making it exactly solvable in terms of Majorana representation of spins in…

Strongly Correlated Electrons · Physics 2020-03-18 Fatemeh Mirmojarabian , Mehdi Kargarian , Abdollah Langari

$\alpha$-RuCl$_3$ is a promising candidate material for the Kitaev spin liquid state where the half quantization of the thermal Hall effect, suggesting a topological character, has been observed. However, its relation to the existence of…

Strongly Correlated Electrons · Physics 2022-05-24 Daichi Takikawa , Masahiko G. Yamada , Satoshi Fujimoto

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

Strongly Correlated Electrons · Physics 2025-10-10 Kiyu Fukui , Yukitoshi Motome

We study the spin-1/2 Kitaev honeycomb gapless spin liquid in the presence of Stone-Wales-type local lattice defects with odd-sided plaquettes. While the clean Kitaev model has no finite-temperature phase transitions, we find that…

Strongly Correlated Electrons · Physics 2026-05-05 Arnab Seth , Fay Borhani , Itamar Kimchi

We present the theory of dynamical spin-response for the Kitaev honeycomb model, obtaining exact results for the structure factor (SF) in gapped and gapless, Abelian and non-Abelian quantum spin-liquid (QSL) phases. We also describe the…

Strongly Correlated Electrons · Physics 2015-09-23 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

A quantum spin liquid (QSL) is an exotic insulating phase with emergent gauge fields and fractionalized excitations. However, the unambiguous demonstration of the existence of a QSL in a "non-engineered" microscopic model (or in any…

Strongly Correlated Electrons · Physics 2025-10-01 Xun Cai , Zhaoyu Han , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

Motivated by recent synthesis of the hyper-honeycomb material $\beta$-$\mathrm{Li_2 Ir O_3}$, we study the dynamical structure factor (DSF) of the corresponding 3D Kitaev quantum spin-liquid (QSL), whose fractionalised degrees of freedom…

Strongly Correlated Electrons · Physics 2016-01-08 A. Smith , J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

To reveal the nature of elementary excitations in a quantum spin liquid (QSL), we measured low temperature thermal conductivity and specific heat of 1T-TaS$_2$, a QSL candidate material with frustrated triangular lattice of spin-1/2. The…

Strongly Correlated Electrons · Physics 2020-02-05 H. Murayama , Y. Sato , X. Z. Xing , T. Taniguchi , S. Kasahara , Y. Kasahara , M. Yoshida , Y. Iwasa , Y. Matsuda

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,…

Strongly Correlated Electrons · Physics 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

We investigate the effect of a magnetic field on the extended Kitaev spin liquid state through phonon dynamics. Using a constrained fermionic self-consistent mean field method, we analyze the quantum spin liquid (QSL) ground state for the…

Strongly Correlated Electrons · Physics 2024-12-06 Susmita Singh , P. Peter Stavropoulos , Natalia B. Perkins

Kitaev magnets are materials with bond-dependent Ising interactions between localized spins on a honeycomb lattice. Such interactions could lead to a quantum spin-liquid (QSL) ground state at zero temperature. Recent theoretical studies…

The Kekul\'e-Kitaev model, an extension of the Kitaev model, exhibits quantum spin liquid (QSL) properties, which has an exact solution through Kitaev parton construction. In this study, we calculate the dynamical spin structure factor as a…

Strongly Correlated Electrons · Physics 2025-01-17 Mohammad-Kazem Negahdari , Abdollah Langari

We show that gapless spin liquids, which are potential candidates to describe the ground state of frustrated Heisenberg models in two dimensions, become trivial insulators on cylindrical geometries with an even number of legs. In…

Strongly Correlated Electrons · Physics 2021-05-20 Francesco Ferrari , Alberto Parola , Federico Becca

The $S=3/2$ Kitaev honeycomb model (KHM) is unique among the spin-$S$ Kitaev models due to a massive ground state quasi-degeneracy that hampered previous numerical and analytical studies. In a recent work~\cite{jin2022unveiling}, we showed…

Strongly Correlated Electrons · Physics 2023-08-15 Willian M. H. Natori , Hui-Ke Jin , Johannes Knolle
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