Errm sorry, but you just dragged out my soapbox.
There is a lot of land that is simply not suitable for arable crops, floodplains and hillsides and mountains for instance, but sheep and goats can flourish on hills and mountainsides, and cattle on floodplains. A vegan or truly vegetarian diet also excludes fish and 'seafood', so while not directly affecting
efficiency of land use, means that more land needs to be used.
Chickens and pigs can be fed (legislation permitting) on scraps and waste from the vegetable garden, or even free ranging on land that is being used for something else (woodland).
I do however object strongly to the use of good arable land to grow fodder for intensively farmed animals, even though it is clearly more efficient/economic somehow. (I suspect that it comes at a high environmental cost of land unnecessarily cleared of forest, and it is certainly not good from the animals point of view.)
Ok soap box away.
It is very important to maintain humus levels in the soil. Green manures can be used and clever choice can reduce or possibly eliminate the need to dedicate space for them (though many people like to have a patch of comfrey) but animal manure is very good, and provides a higher concentration of nutrients than compost.
For a small area like an allotment, chickens are useful to help with composting, and fertilising as well as providing eggs (and meat if you can do the deed etc.). They can also be used to help clear the ground.
For larger areas of land other animals can be used. In years gone by it was common practice to let animals onto harvested fields to keep the weeds down and provide manure directly.
For efficient and environmentally friendly use of land, permacultrure has some very interesting ideas.
Soya was originally only grown as green manure, it's not even suitable for animal feed without processing, and it has to be very highly processed to make it edible for humans. For me that is enough to forget about growing them. There are plenty more edible beans to choose from, and all are good for the ground too.
I tend to look at what has been traditionally grown here as a guide to what will grow best. Peas and field beans used to be (and still are sometimes) grown for animal feed to provide their protein. So I would deduce that Broad beans would also be good as they are very closely related to field beans.
A bit of googling reveals that lentils should be good, a bit more reveals that they are low yield, and a faff to harvest, a brief search seems to reveal the same for chickpeas.