Two-dimensional materials are promising platforms of new physics and new devices. However, their reduced volume makes standard measurements techniques difficult. Transport measurements, while sensitive to many phenomena, miss local effects. We implement a quantum lock-in measurement with NV centers to measure small magnetic fields arising from local effects in the two-dimensional material MoS2. This local measurements allows us to see circulating photocurrents arising from a photo-Nernst effect that would otherwise be invisible. The lock-in measurement also reveals spatial and temporal dynamics. These spatiotemporal capabilities establish an optically accessed, local probe for optoelectronic phenomena, ideally suited to the emerging class of two-dimensional materials, for which making contacts is challenging and can alter the intrinsic material properties.

Our experiments use multiple laser tones to both address the NV centers and excite the MoS2. We are careful to spectrally filter emission from the MoS2 to reduce the impact on our NV signal.

Multi-panel figure showing a hybrid quantum sensing platform combining monolayer MoS₂ and NV centers in diamond. Diagrams illustrate the device structure, crystal orientation, spin energy levels, optical image of the MoS₂ layer, photoluminescence mapping, and emission spectra. The setup enables nanoscale magnetic sensing and photocurrent imaging using NV center quantum probes.

The quantum lock-in measurement relies on pulsed excitation of photocurrents synchronized to a dynamical decoupling sequence applied to the NVs. This produces a modulated magnetic field, which imparts a phase to the NVs. The lock-in procedure filters out any signal that is not at the NV flip frequency.

Diagram of a quantum sensing pulse sequence for NV center phase measurements. Laser and RF pulse timing control spin evolution using an XY8 dynamical decoupling sequence. Additional panels illustrate modulation of photocurrent-induced magnetic fields, Bloch sphere spin dynamics, and the resulting phase dependence on pulse delay. The figure explains phase-sensitive quantum detection of photocurrents.

Below, we map out the current and temperature distribution produced by the photo-Nernst effect in our sample, measuring magnetic fields of down to 1mG.

Multi-panel plots map photocurrent-induced magnetic fields measured with NV centers. Graphs show spatial variations in magnetic field strength, temperature dependence, and scaling with external magnetic field. A 3D visualization compares current density, local heating, and optical power density distributions. The figure demonstrates nanoscale imaging of photocurrents in two-dimensional materials.

Details can be found in our manuscript: 

B. B. Zhou, P. C. Jerger, K.-H. Lee, M Fukami, F. Mujid, J. Park, D. D. Awschalom, Phys. Rev. X 10, 011003 (2020).