Estimation of vector static magnetic field by a nitrogen-vacancy center with a single first-shell <sup>13</sup>C nuclear (NV

Estimation of vector static magnetic field by a nitrogen-vacancy center with a single first-shell ¹³C nuclear (NV–¹³C) spin in diamond

Jiang Feng-Jian^†,, Ye Jian-Feng, Jiao Zheng, Huang Zhi-Yong, Lv Hai-Jiang^‡

(color online) As an example, ODMR CW spectra was simulated with for preset parameters θ = 57°, ϕ = (11°, 169°, 191°, or 349°), and satisfying mirror symmetry about ¹⁴N–V–¹³C plane. (a) The relatively low MW power reveals doublet transitions of each resonance line in panel (b). The 24 resonance lines resulted from the ¹³C nucleus and the fixed splitting (2.16 MHz) were induced by ¹⁴N nucleus. The asymmetry of 24 resonance lines is due to the different transition probabilities between and . (b) At relatively high MW power, the NV–¹³C indicates four resonance spectral lines due to hyperfine coupling with the ¹³C nucleus. Notations are defined in the main text.