Non-Walking Door Mats!

Can anyone recommend a doormat that doesn’t move on carpet? Heavy duty no longer seems to mean what it says as the rubber surrounds aren’t thick enough to keep them in place anymore . I’m fed up with having to keep moving them back into place although it’s quite easy considering how light most of them are! They are a constant trip hazard as my husband tends to shuffle his feet and the rubber starts to curl up on the edges. At the front door edge it gets caught in the door when the mat moves forward. Maybe it’s making a bid to escape! Any ideas please?