Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Dynamics of Kitaev spin liquids and other two-dimensional quantum spin models

Ruben Verresen, Matthias Gohlke, Frank Pollmann, Roderich Moessner

Published Mar 6, 2018• 0 citations
OpenAlex

Related papers

Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections

Maria Hermanns, Itamar Kimchi, Johannes Knolle

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking, the topological order underlying quantum spin liquids is hard to detect experimentally. Even theoretical models are scarce for which the ground state is established to be a quantum spin liquid. The Kitaev honeycomb model and its generalizations to other tricoordinated lattices are chief counterexamples—they are exactly solvable, harbor a variety of quantum spin liquid phases, and are also relevant for certain transition metal compounds including the polymorphs of (Na,Li) 2 IrO 3 iridates and RuCl 3 . In this review, we give an overview of the rich physics of the Kitaev model, including two-dimensional and three-dimensional fractionalization as well as dynamic correlations and behavior at finite temperatures. We discuss the different materials and argue how the Kitaev model physics can be relevant even though most materials show magnetic ordering at low temperatures.

arXiv:1705.01740•Annual Review of Condensed Matter Physics•Oct 23, 2017•478 citations

Concept and realization of Kitaev quantum spin liquids

H. Takagi, T. Takayama, George Jackeli +2 more

arXiv:1903.08081•Nature Reviews Physics•Mar 25, 2019•813 citations

Numerical Studies of Quantum Spin Liquids in Kitaev and Heisenberg Models

D. N. Sheng

Bulletin of the American Physical Society•Mar 7, 2019•0 citations

Parametric pumping of the two-dimensional quantum spin liquid

Andrei A. Zvyagin

With the help of the exact solution of the Kitaev model the parametric pumping of the two-dimensional quantum spin liquid under the action of the ac magnetic field is studied. In the dynamical regime the field produces oscillations of the magnetization with the field's frequency, modulated by the Rabi-like oscillations. In the steady-state regime, the Rabi-like oscillations are damped. The absorption of the ac field by the Kitaev spin model is finite and manifests resonance features. Such a behavior is generic for quantum spin liquids with fermionic excitations, and it is different from the linear spin-wave response of magnetically ordered systems to such a parametric pumping.

Physical review. B./Physical review. B•Feb 24, 2017•4 citations

Dynamics of fractionalized mean-field theories: Consequences for Kitaev materials

Tessa Cookmeyer, Joel E. Moore

The Kitaev model is a unique exactly solvable two-dimensional quantum spin system that exhibits a spin-liquid ground state. Here, the authors rigorously rederive and extend a Majorana mean-field theory approach that reproduces, but applies beyond, the exact results. The authors use this approach to predict inelastic neutron scattering (INS) results on realistic Hamiltonians of hypothetical Kitaev spin-liquid materials. Not limited to just the Kitaev model, this approach can extend the applicability of mean-field theory in analyzing dynamics for any system without a large coordination number.

arXiv:2206.04788•Physical review. B./Physical review. B•Jun 27, 2023•7 citations

Spin dynamics at finite temperatures in the Kitaev model

純基 吉竹, Junki Yoshitake

•Mar 7, 2019•0 citations
Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking, the topological order underlying quantum spin liquids is hard to detect experimentally. Even theoretical models are scarce for which the ground state is established to be a quantum spin liquid. The Kitaev honeycomb model and its generalizations to other tricoordinated lattices are chief counterexamples—they are exactly solvable, harbor a variety of quantum spin liquid phases, and are also relevant for certain transition metal compounds including the polymorphs of (Na,Li) 2 IrO 3 iridates and RuCl 3 . In this review, we give an overview of the rich physics of the Kitaev model, including two-dimensional and three-dimensional fractionalization as well as dynamic correlations and behavior at finite temperatures. We discuss the different materials and argue how the Kitaev model physics can be relevant even though most materials show magnetic ordering at low temperatures.
With the help of the exact solution of the Kitaev model the parametric pumping of the two-dimensional quantum spin liquid under the action of the ac magnetic field is studied. In the dynamical regime the field produces oscillations of the magnetization with the field's frequency, modulated by the Rabi-like oscillations. In the steady-state regime, the Rabi-like oscillations are damped. The absorption of the ac field by the Kitaev spin model is finite and manifests resonance features. Such a behavior is generic for quantum spin liquids with fermionic excitations, and it is different from the linear spin-wave response of magnetically ordered systems to such a parametric pumping.
The Kitaev model is a unique exactly solvable two-dimensional quantum spin system that exhibits a spin-liquid ground state. Here, the authors rigorously rederive and extend a Majorana mean-field theory approach that reproduces, but applies beyond, the exact results. The authors use this approach to predict inelastic neutron scattering (INS) results on realistic Hamiltonians of hypothetical Kitaev spin-liquid materials. Not limited to just the Kitaev model, this approach can extend the applicability of mean-field theory in analyzing dynamics for any system without a large coordination number.