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A primer on Kitaev model: basic aspects, material realization, and recent experiments.

Saptarshi Mandal1,2

  • 1Institute of Physics, PO: Sainik School, Bhubaneswar 751005, Odisha, India.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 28, 2025
PubMed
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This review introduces the Kitaev model, exploring its exact solution and properties. It also discusses experimental efforts to realize the Kitaev spin-liquid phase in materials.

Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Topological Phases of Matter

Background:

  • The Kitaev model is a fundamental exactly solvable model in quantum magnetism.
  • It exhibits exotic properties such as fractionalization and topological degeneracy.
  • Realizing the Kitaev spin-liquid phase in materials is a significant challenge.

Purpose of the Study:

  • To provide an elementary introduction to the Kitaev model for graduate students.
  • To review the exact solution, Hilbert space structure, and key properties of the model.
  • To discuss recent experimental progress in realizing Kitaev materials and their spin-liquid phase.

Main Methods:

  • Theoretical analysis of the Kitaev model, including its exact solution.
  • Discussion of concepts like fractionalization and topological degeneracy.
Keywords:
Kitaev modelreview Kitaev modelspin liquid physics

Related Experiment Videos

  • Review of experimental techniques (magnetization, susceptibility, specific heat, thermal Hall effect) applied to candidate materials.

    • Main Results:

    • The Kitaev model's exact solution and fundamental properties are presented clearly.
    • Recent proposals for realizing Kitaev interactions in specific materials are discussed.
    • Experimental results from candidate materials provide insights into the status of Kitaev spin-liquid realization.

    Conclusions:

    • The review offers a foundational understanding of the Kitaev model and its theoretical aspects.
    • Experimental efforts are actively probing candidate materials for the Kitaev spin-liquid phase.
    • Further theoretical and experimental work is crucial for understanding this exotic quantum state.