As I wrote, there is a big difference between a "sensitive" detector, for the RF input levels like -20..-30 dBm, and a "power" rectifier, with RF input levels > 1 mW.
A good RF Schottky diode like the mentioned HSMS from Agilent or BAR-12 from Siemens can be good with the low levels as those are zero-bias diodes. Using a DC bias with a forward current of several uA may be good, but the RF signal should be preferably AM modulated, so you can retrieve the modulating signal by a selective video amplifier after detector.
Detectors like those using ZBS Schottky diodes have a "quadratic" response up to ~-20 dBm but a "linear" response up to 0 dBm, then they rather are limiting. Also video load resistance should be adjusted, from 1...10 MOhm for low-level operation, to <1 kOhm for high-power rectification.