Packages for a three-dimensional die stack, methods for fabricating a package for a three-dimensional die stack, and methods for distributing power in a package for a three-dimensional die stack. The package may include a first lid, a second lid, a die stack located between the first lid and the second lid, a first thermal interface material layer between the first lid and a first die of the die stack, and a second thermal interface material layer between the second lid and the second die of the die stack. The second thermal interface material layer is comprised of a thermal interface material having a high electrical conductivity and a high thermal conductivity.