The Safed Rabbinical Court recently gave a woman a "get zikui" to permit her to receive a divorce from her husband who has been in a coma for seven years. See this article. The article describes it as "rare." What exactly is a get zikui and are there any recorded instances of it being used recently?
Rabbi Isaac Herczog discussed the concept, and rejected it. (Rabbi Hershel Schachter has discussed this in several lectures.)
"Zikui" works as follows. I want to gift someone a nice challah knife on shabbos, but it's best to avoid gifts on shabbos as it looks like a business transaction, so on Friday afternoon I say, "I'm sure Shmerel would want to receive this lovely challah knife, so I'll have my friend here pick it up on his behalf." Receiving on someone's behalf, when we assume they would like to receive it, is zikui. Another example would be if I set aside food in my apartment building for anyone in the building to use on shabbos -- this makes an eruv and allows everyone to carry. If I can't contact Shmerel in advance, I can generally assume "he'd like to be able to carry", and thus have him receive a share in this food.
The argument used here was: "he would want his wife to be free if she was chained to a vegetable for six years." (Or a similar argument, "he disappeared off at war; if he's still alive in some Hezbullah prison three years later, he would want his wife to be free now.") Herczog correctly predicted that if we allowed it for the husband who's disappeared, some rabbi would try this stunt for the husband who is right here and refusing to give his wife a Get, arguing that he'd really rather give one. (And as Rabbi Schachter tells it, sure enough, some "rabbi" started doing such Gittin in Israel -- he's unauthorized by the Israeli rabbinate and therefore could be arrested for this, so he does them at the US Embassy.)
As Rabbi Schachter explained, the fundamental problem with zikui is that it only works (at least in all the Talmudic precedents) in a passive way, to receive something. Giving a Get requires some very deliberate action.
The story of the vegetative husband (or similarly, one stricken with a severe psychological or neurological problem to the point he can't execute a Get) is truly tragic, but the halachic logic here seems shaky at best.
Rabbi JD Bleich addressed this long ago in Tradition 35:4.
The issue with a gett me'usah isn't that the gett is compelled, but that the husband did not have a desire to give the gett. Which is why the Rambam says that we can assume the husband had a desire to conform to halakhah if he wants to be part of the Jewish community. It's just that there are other, dominant, desires that outweigh this one, and those desires are motivating his decision. Beis din can't act on unexpressed desires, so we compel him until he says "rotzeh ani" (I want); then it has something actionable to work with. In other words, "rotzeh" (and "want") are ambiguous -- it could refer to a single desire or an overall decision. A gett only requires the former.
(If someone other than the court does the compulsion, the expressed desire isn't sufficietly related to the gett to be considered an overwhelmed but actual desire to give the gett.)
As for gett zikui... There is currently a debate on its viability in the YU world. R Simcha Krausz and R' Yosef Blau (YU's head mashgiach) have formed a beis din that would free agunos largely using gett zikui. It would seem that R' Herchel Schachter and R' M Willing would both be against, although they haven't spoken up about this particular court.