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Magnetic properties of quantum spin system Rb$$_2$$Cu$$_2$$Mo$$_3$$O$$_{12}$$ studied by $$mu$$SR technique

Kawamura, Seiko   ; Tomiyasu, Keisuke*; Koda, Akihiro*; Sari P., D.*; Asih, R.*; Yoon, S. W.*; Watanabe, Isao*; Nakajima, Kenji  

Rb$$_2$$Cu$$_2$$Mo$$_3$$O$$_{12}$$ is a quantum spin system having zig-zag chains of the spin-1/2 Cu ions. Whereas the system is expected to exhibit an incommensurate spin-singlet state based on a ratio of the second neighbor ferromagnetic interaction $$J_2$$ to the first neighbor antiferromagnetic interaction $$J_1$$, there is no report to bare a direct evidence for the spin-singlet ground state of this system. We carried out $$mu$$SR measurements on this system, to clarify its ground state and dynamics. In the zero-field measurement, the time spectra do not show changes with temperature from 300 K to 20 K, while the muon spin relaxation is enhanced below 20 K. The relaxation is again independent of temperature below 1.5 K. The result reveals that the ground state of Rb$$_2$$Cu$$_2$$Mo$$_3$$O$$_{12}$$ is nonmagnetic. Furthermore, the longitudinal-field $$mu$$SR measurements indicate characteristic behavior of the internal field and dynamics accompanying formation of the spin singlet.

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