A problem with the arctic, is that infrastructure becomes a problem the longer north you go. Even in western countries like Norway, the power grid is simply too small to handle any data center in the northern-most counties. Not to mention the political issue, where those living there would face higher utility bills.

It is assumed that if you want to build lots of data centers up north, you also need to invest in infrastructure. I've seen discussion about smaller modular nuclear power plants, but those things take years. Another thing could be other renewable energy sources.