Dressed spin dynamics of Tomonaga-Luttinger liquid in anisotropic triangular antiferromagnet Ca₃ReO₅Cl₂

We report ³⁵Cl NMR measurements in an anisotropic triangular antiferromagnet Ca₃ReO₅Cl₂. The Knight shift follows a one-dimensional Heisenberg antiferromagnet with a finite value at low temperatures, consistent with Tomonaga-Luttinger liquid with the Wilso ratio R_W = 2.4. The nuclear spin-lattice relaxation rate T₁^-1 shows a power-law evolution of spin correlation with the Luttinger parameter K = 0.5 after subtracting the contribution of  the dressed antiferromagnetic fluctuations that depends on the form factor of dynamical spin susceptibility. The anisotropic spin dynamics suggests the significant Dzyaloshinskii-Moriya interaction that gives an incommensurate antiferromagnetic ordering [1]. 

[1] Diep Minh Nguyen, Azimjon A. Temurjonov, Daigorou Hirai, Zenji Hiroi, Oleg Janson, Hiroshi Yasuoka, Taku Matsushita, Yoshiaki Kobayashi, and Yasuhiro Shimizu, Phys. Rev. B 111, 064423 (2025).