Heavy Hydrogen Isotopes are primarily used for nuclear fusion on earth, these heavy isotopes are easier to combine in a fusion reaction than regular Hydrogen which is the fuel source for the sun. The most common reaction pathway used for fusion on earth involves Deuterium fusing with Tritium to produce a Helium nucleus (alpha particle) and a neutron. Because Fusion uses light atoms Fusion Reactions Produce Enormous Amounts of Energy compared to Fission.
Because neutrons are hard to deal with, there are other proposed fusion fuels which produce the majority of their energy as charged particles instead. This is referred to as Aneutronic Fusion.