We demonstrate a three phase-grating moiré neutron interferometer in a highly intense neutron beam as a robust candidate for large area interferometry applications and for the characterization of materials. This novel far-field moiré technique allows for broad wavelength acceptance and relaxed requirements related to fabrication and alignment, thus circumventing the main obstacles associated with perfect crystal neutron interferometry. We observed interference fringes with an interferometer length of 4 m and examined the effects of an aluminum 6061 alloy sample on the coherence of the system. Experiments to measure the autocorrelation length of samples and the universal gravitational constant are proposed and discussed. DOI: 10.1103/PhysRevLett.120.113201 Interferometers employing particle self-interference have proven to be an extremely sensitive measuring tool, allowing for the precise characterization of material properties as well as measurements of fundamental constants [1,2]. Neutrons, in particular, are a convenient probe due to their relatively large mass, electric neutrality, and subnanometer-sized wavelengths. The earliest neutron interferometer (NI) was formed via a pair of prisms and, through wave front division, achieved Fresnel interference effects with up to 60 μm path separations [3]. Amplitude division from Bragg diffraction off of crystal planes was later used to make perfect crystal NIs with Mach-Zehnder (MZ) path separations of several centimeters [4]. This relatively large path separation along with the macroscopic size of the interferometer contributed to its success in exploring the nature of the neutron and its interactions [5][6][7][8][9][10]. However, perfect crystal NIs possess a very narrow wavelength acceptance, are difficult to fabricate, and operate only under stringent forms of vibration isolation and beam collimation [11][12][13][14][15]. This limits their widespread adaption at many neutron sources.Microfabricated periodic structures have been employed as neutron optical elements to produce quantum interference. This led to a demonstration of a MZ -based grating NI with reflection gratings [16] and a three phase-grating MZ NI for low energy (<1 meV) neutrons [17][18][19][20]. However, the inherently low intensity of <1 meV neutrons makes it difficult for these grating interferometers to outperform the perfect crystal NI.Here, we demonstrate a broadband, three phase-grating moire interferometer (PGMI) operating in the far field. The schematic diagram of the setup is depicted in Fig. 1(a). The three PGMI employs the universal moiré effect [21] and is an extension to the recently demonstrated two phasegrating moiré neutron interferometer [22,23]. Contrary to the typical MZ interferometers that have two separate and distinct beam paths, the PGMI works in the full field of a cone beam from a finite source, similar to in-line holographic devices. Such full-field systems can be understood intuitively in the framework of Fourier imaging developed by Cowley and Moodie [24,25]: the sec...