We addressed axion or axion-like dark matter models and a global network method to detect them. Plausible axion dark matter models are described and characterized for the global network detectors. An atomic magnetometer is introduced as one of the stable exotic-spin-coupling detectors. We installed an atomic magnetometer at KAIST Munji Campus in Daejeon, South Korea, and connected the magnetometer to the global network. We developed a new method to analyze the global network of time series data for terrestrial exotic event characterization. Performances and opportunities of the detector and the data analysis method are presented in this thesis.