The Coldplay frontman had been romancing the "Peaky Blinders" actress for several months but is said to have inexplicably "lost interest" and cooled contact with the blonde beauty, reported Grazia magazine.
"At the moment they're on a break - indefinitely. At first Chris seemed head over heels, visiting her on the set of her projects and inviting her to sing on his album.
"But he soon seemed to lose interest, and became hard to pin down. Annabelle felt insecure," a source said.