The study investigates the dynamical response of the Kitaev spin liquid on the honeycomb lattice under third-nearest-neighbor Heisenberg interactions. Employing mean-field theory and sample-efficient numerical methods, the research reveals a rich phase behavior and characteristic spectral signatures of the spin liquid phase.
Key findings
The Kitaev-Heisenberg Hamiltonian shows rich phase behavior including gapless spin liquid, Neel, zigzag, and ferromagnetic phases.
Sample-efficient methods like Kernel Polynomial Method and stochastic Lanczos quadrature achieve better than 90% accuracy with significant computational speedup.
Dynamical spin structure factor S(q,omega) reveals a broad continuum of fractional excitations evolving into sharp magnon modes in magnetically ordered phases.
Limitations & open questions
The study focuses on the Kitaev spin liquid under specific interactions and may not generalize to other types of interactions.
The sample-efficient methods' accuracy and efficiency might be dependent on the specific system size and parameters.