D. Sarenac, G. Gorbet, Charles W. Clark, D. G. Cory, H. Ekinci, M. E. Henderson, M. G. Huber, D. Hussey, C. Kapahi, P. A. Kienzle, Y. Kim, M. A. Long, J. D. Parker, T. Shinohara, F. Song, D. A. Pushin

Neutron interferometry has played a distinctive role in fundamental science and characterization of materials. Moir\'e neutron interferometers are candidate next-generation instruments: they offer microscopy-like magnification of the signal, enabling direct camera recording of interference patterns across the full neutron wavelength spectrum. Here we demonstrate the extension of phase-grating moir\'e interferometry to two-dimensional geometries. Our fork-dislocation phase gratings reveal phase singularities in the moir\'e pattern, and we explore orthogonal moir\'e patterns with two-dimensional phase-gratings. Our measurements of phase topologies and gravitationally induced phase shifts are in good agreement with theory. These techniques can be implemented in existing neutron instruments to advance interferometric analyses of emerging materials and precision measurements of fundamental constants.