The phrase "a significant breakthrough for" is correct and usable in written English.
It can be used when discussing an important advancement or discovery that benefits a particular field, group, or individual.
Example: "The new vaccine represents a significant breakthrough for public health, potentially saving millions of lives."
Alternatives: "an important advancement for" or "a major development for".
It is, though, a significant breakthrough for the women's game in England.
The appointment is a significant breakthrough for women in the upper echelons of governance.
Announced at a dawn press conference in Beverly Hills, California, the nominations were a significant breakthrough for black British film talent.
A significant breakthrough for Latin players came in 1949 when the Cleveland Indians signed the renowned black Cuban player Minnie Miñoso.
Neutrals, however, would urge them not only to treasure their silver medals, but also to acknowledge a significant breakthrough for their sport.
The New York State Senate's approval last week of a ballot reform plan that would knock down the state's notorious obstacles to getting candidates on the Republican presidential primary ballot was a significant breakthrough for fair and open elections.
That the stripes are the apparent source of salty ice is considered a significant breakthrough with implications for understanding planets and moons, and for detecting possible sites hospitable to life.
The Lithuanians' claims were brought in a civil case by the law firm Leigh Day and mark a significant breakthrough in attempts for victims of modern slavery to get justice.
To her supporters, Professor Mattson's selection comes as a significant breakthrough, a chance for North American Muslims to show that they are a diverse, enlightened community with real roots here — and not alien, sexist extremists bent on the destruction of Western civilization.
Such groups say the fact that Congress is grappling with the issue of coverage of contraceptive benefits for the first time is in itself a significant breakthrough, and the provisions for Federal employees another.
This innovative technique represents a significant breakthrough in the search for optimisation of the performance of renewable, low carbon insulation materials.
