Mauri, AchilleMila, Frédéric2025-05-052025-05-052025-05-052025-05-0210.1103/physrevb.111.l180402https://infoscience.epfl.ch/handle/20.500.14299/249803Motivated by recent experiments on the quantum magnet K2Co(SeO3)2, we study theoretically the excitation spectrum of the nearest-neighbor triangular XXZ model in the limit of strong easy-axis anisotropy, within the up-up-down (1/3-plateau) phase. We make an expansion in 𝛼=𝐽𝑥𝑦/𝐽𝑧𝑧 instead of 1/𝑆 and calculate the magnon dispersion for any value of the spin 𝑆 at second order in 𝛼, with two important conclusions: (i) the 1/𝑆 expansion converges very slowly for 𝑆=1/2, making spin-wave theory quantitatively inaccurate up to very large orders, and (ii) compared to the linear spin-wave predictions, our magnon dispersion presents a much better agreement with experimental results on K2Co(SeO3)2, for which 𝛼≃0.08.enSlow convergence of spin-wave expansion and magnon dispersion in the 1/3 plateau of the triangular XXZ antiferromagnettext::journal::journal article::research article