How do I prevent my groundcover from invading the neighbor?
I own a rental house and I'm getting really fed up with driving over there to mow the grass. So, I decided to replace the small front lawn area (which no one uses anyway) with creeping jenny. I've done a ton of research on it, and I'm confident that this is a good choice for the land and amount of sun it gets (it's pretty shady, which is why I ruled out wooly thyme, which i have planned for the backyard which is very sunny).
The only problem I can't figure out is how to prevent the creeping jenny from invading the neighbor's small patch of front lawn. The two lawns are only separated by a chain link fence.
I was thinking of some kind of barrier, but I don't know if that will be sufficient, and if it would work, how far down in the soil must the barrier be, how tall, and how wide? I'm hoping someone here has some solutions to offer; I'm stumped!