We now have the world's most sensitive search for dark-matter axions. The experiment threads a large static magnetic field through a high-Q microwave cavity, thereby stimulating nearby Milky Way halo axions to convert into microwave photons. Any feeble microwave signal is detected by an exquisitely low noise radio receiver. This allows for the first time a search for axions having plausible couplings to normal matter and radiation. Our collaboration has recently developed even lower-noise SQUID-based microwave receivers. This new receiver technology is the basis of an improved experiement that will allow detection of even the most feebly-coupled dark matter axions and would be able definitely to either detect of exclude axions as the dominant component of the halo dark matter.