Demetri's special ability, in the Twilight Saga and movies, is his unequalled tracking abilities. He is one of the world's best trackers and it's extremely difficult, if possible at all, to escape once he targets you.
Didyme's power in the Twilight series is not explicitly mentioned. However, it is implied that her power was something related to influencing the emotions of those around her, as she was described as being able to make people feel happy and peaceful in her presence.
Demetri can track anyone once he has the tenor of their mind.
Charlie Bewley.
she has an aura of happiness.
The cast of Didymes kai Ponties - 1989 includes: Giannis Alexandrakis Spyros Kalogirou Despoina Karli Giorgos Mattheou Alekos Mavridis Yannis Nezis Thanos Papadopoulos as Vyron Kostas Romaios Mimis Thiopoulos
Afton's power is unknown.
Stefan doesn't have a power!
She was born with it.
Laurent does not possess a special vampire ability in the Twilight Saga.
Heidi's power is to create illusions of someone's desires.
no, not so far but maybe in eclipse (the next twilight movie)
if I'm correct, none.
Ben.
James had the power of tracking. He could follow any scent.
hearing people's thoughts.
In the story they never reveal what Heidi's power is but she does have one.