Near zero-field microwave-free magnetometry with ensembles of nitrogen-vacancy centers in diamond

We study cross-relaxation features near zero magnetic field with ensembles of nitrogen-vacancy (NV) centers in diamond and examine their properties in samples with a range (0.9 ppm - 16.0 ppm) of NV concentrations. The observed NV-NV cross-relaxation features between differently oriented NV centers in high (greater than 0.9 ppm)-NV-density samples hold promise for a variety of magnetometry applications where microwave fields (or any bias field) disturb the system under study. We theoretically determine the values of the bias magnetic fields corresponding to cross-relaxations between different axes and experimentally validate them. The behavior of zero-field cross-relaxation features as a function of temperature is also investigated.