Is Graphene's Current Capacity Really x1000 Times Higher Than Copper?

[PhiowPhi]

Some articles would state that graphene(1 pure sheet) can carry x1000 the amount of current copper can. When I researched it, there isn't anything indicating so. Are those articles true? Or is it a lie?

I understand how graphene can be slightly better, but that is unrealistic... it is a wondrous material, yet that huge difference in current capacity and it's weight difference, it sounds too good to be true.

 

[PietKuip]

Carrier mobilities in graphene are exceptionally high, up to 200, 000 cm^2/Vs at room temperature. But the number of carriers is low, so the specific conductivity is not that different from metals like silver or copper.
A thin sheet can carry a lot of current when heat is lead away, there is no simple way of putting a number on that.