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Quantum spin liquids (QSLs) represent exotic states of matter where quantum spins interact strongly yet evade long-range magnetic order down to absolute zero. Characterized by non-local quantum entanglement and resultant fractionalized…

强关联电子 · 物理学 2025-12-05 Yuji Matsuda , Takasada Shibauchi , Hae-Young Kee

Quantum spin liquids and anyons, used to be subjects of condensed matter physics, now are realized in various platforms of qubits, offering unprecedented opportunities to investigate fundamental physics of many-body quantum entangled…

强关联电子 · 物理学 2024-07-22 Kyusung Hwang

Quantum spin liquids are exotic many-body states featured with long-range entanglement and fractional anyon quasiparticles. Quantum phase transitions of spin liquids are particularly interesting problems related with novel phenomena of…

强关联电子 · 物理学 2024-07-19 Kyusung Hwang

Non-Abelian anyons in quantum spin liquids (QSLs) provide a promising route to fault-tolerant topological quantum computation. In the exactly solvable Kitaev honeycomb model, such anyons of the QSL state can be bound to nonmagnetic spin…

强关联电子 · 物理学 2025-10-08 Bo Xiao , Gonzalo Alvarez , Gábor B. Halász

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

强关联电子 · 物理学 2026-01-29 A. R. Moura , L. V. Santos

Elementary excitations in highly entangled states such as quantum spin liquids may exhibit exotic statistics, different from those obeyed by fundamental bosons and fermions. Excitations called non-Abelian anyons are predicted to exist in a…

强关联电子 · 物理学 2019-06-11 Jacob S. Gordon , Andrei Catuneanu , Erik S. Sørensen , Hae-Young Kee

Quantum spin liquids (QSLs) form an extremely unusual magnetic state in which the spins are highly correlated and fluctuate coherently down to the lowest temperatures, but without symmetry breaking and without the formation of any static…

Among the quantum many-body models that host anyon excitation and topological orders, quantum dimer models (QDM) provide a unique playground for studying the relation between single-anyon and multi-anyon continuum spectra. However, as the…

强关联电子 · 物理学 2021-04-28 Zheng Yan , Yan-Cheng Wang , Nvsen Ma , Yang Qi , Zi Yang Meng

The non-integrable higher spin Kitaev honeycomb model has an exact $\mathbb{Z}_2$ gauge structure, which exclusively identifies quantum spin liquid (QSL) in the half-integer spin Kitaev model. But its constraints for the integer-spin Kitaev…

强关联电子 · 物理学 2024-12-09 Zhengzhi Wu , Jing-yun Zhang , Hong Yao

The exploration of quantum spin liquids (QSLs) has been guided by different approaches including the resonating valence bond (RVB) picture, deconfined lattice gauge theories and the Kitaev model. More recently, a spin liquid ground state…

强关联电子 · 物理学 2022-12-19 Ruben Verresen , Ashvin Vishwanath

We investigate a bilayer Kitaev model, where two honeycomb layers are coupled by the Heisenberg interactions, to discuss effects of an interlayer coupling against the Kitaev quantum spin liquids (QSLs). In this model, there exists a local…

强关联电子 · 物理学 2018-03-06 Hiroyuki Tomishige , Joji Nasu , Akihisa Koga

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

Topological quantum computation relies on control of non-Abelian anyons for inherently fault-tolerant storage and processing of quantum information. By now, blueprints for topological qubits are well developed for electrically active…

强关联电子 · 物理学 2024-11-14 Kai Klocke , Yue Liu , Gábor B. Halász , Jason Alicea

We investigate the phase diagram of a bilayer Kitaev honeycomb model with Ising interlayer interactions, deriving effective models via perturbation theory and performing Majorana mean-field theory calculations. We show that a diverse array…

强关联电子 · 物理学 2024-04-30 Aayush Vijayvargia , Urban F. P. Seifert , Onur Erten

Kitaev's honeycomb-lattice spin-$1/2$ model has become a paradigmatic example for $\mathbb{Z}_2$ quantum spin liquids, both gapped and gapless. Here we study the fate of these spin-liquid phases in differently stacked bilayer versions of…

We construct a lattice model of topological order (kagome quantum spin liquids) and solve it with unbiased quantum Monte Carlo simulations. A three-stage anyon condensation with two transitions from a $\mathbb Z_2\boxtimes\mathbb Z_2$…

强关联电子 · 物理学 2021-01-08 Yan-Cheng Wang , Zheng Yan , Chenjie Wang , Yang Qi , Zi Yang Meng

The realization of quantum spin liquids (QSLs) in Kitaev magnets represents an intriguing topic in frustrated quantum magnetism. Despite prediction in the pure Kitaev honeycomb model, realization of QSLs in realistic systems and materials…

强关联电子 · 物理学 2025-09-11 Han Li , Xu-Guang Zhou , Gang Su , Wei Li

We propose a unified scheme to identify phase transitions out of the $\mathbb{Z}_2$ Abelian topological order, including the transition to a non-Abelian chiral spin liquid. Using loop gas and and string gas states [H.-Y. Lee, R. Kaneko, T.…

强关联电子 · 物理学 2021-08-02 Yu-Hsueh Chen , Ching-Yu Huang , Ying-Jer Kao

Thermodynamic properties of chiral spin liquids are investigated for a variant of the Kitaev model defined on a decorated honeycomb lattice. Using the quantum Monte Carlo simulation, we find that the model exhibits a finite-temperature…

强关联电子 · 物理学 2015-08-26 Joji Nasu , Yukitoshi Motome

The ground state of the bilayer Kitaev model with the Heisenberg-type interlayer exchange interaction is investigated by means of the exact diagonalization. Calculating the ground-state energy, local quantity defined on each plaquette, and…

强关联电子 · 物理学 2019-05-24 Hiroyuki Tomishige , Joji Nasu , Akihisa Koga
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