I am not actually talking here about SiGe(Silicon-Germanium hybrids) but an integrated circuit that uses entirely Germanium(doped of course in certain areas)? It is my understanding that even though Germanium was used to make the first discrete transistors, there are many problems with using it as a substrate for IC fabrication. Such as the fact that Germanium Dioxide is water soluble.
We are not close to making pure Ge ICs, and likely never will be. The odd diode or power device where the low voltage wins, yes, but the process technology for significant integration, no.
The technology to be able to process silicon into ICs as we do today has been won over 40 to 60 years (depending on your start date) of painstaking incremental investment. Given a choice between a tweak that uses the existing silicon processes (continue to reduce dimensions, alloy Ge with it, put it on an insulating sapphire substrate) and a totally new material to learn how to process and handle the chemistry, the choice will be for silicon, unless there is some huge advantage for the new material.
A big, big drawback for straight Ge is the low temperature performance of the material. You can't solder ICs by bringing the whole board up to temperature as you can with silicon, it's hand solder leads or clamp only, and then use excellent heatsinking. What the market wants in higher temperature performance, that's one of the things driving SiC for instance.
IC require much more than discretes, every aspect of the physics and chemistry, the resistors, the well capacitance, the oxide stability, the interconnect metals, the lattice sizes to mention a few from a long list, all form part of a system within which the IC designers work.
Discretes are a little more forgiving, and here new materials do get used at a low level of integration. GaN is making higher speed FETs, SiC is making higher voltage higher temperature transistors, SiGe first appeared in discretes for a decade or two where the teething troubles were sorted out, then there's InGaP, and AlGaAs, and a host of others, and Ge too for some specialist diodes and power transistors.
Given how long Ge has been around, it's obvious that there is not a sufficient performance advantage to make it worth trying to work with the material's problems on any significant scale.