Preheat oven to 350°F and line baking sheets with parchment paper.
In a medium bowl, whisk together flour, cocoa powder, espresso powder, baking soda, and salt. Set aside.
In a large bowl, cream together butter, granulated sugar, and brown sugar until light and fluffy, about 3 minutes.
Beat in eggs one at a time, then add vanilla extract, mixing until well combined.
Gradually add the dry ingredients to the wet ingredients, mixing on low speed until just combined.
Fold in semi-sweet and white chocolate chips with a spatula.
Drop rounded tablespoons of dough onto prepared baking sheets, spacing them 2 inches apart.
Bake for 10-12 minutes until edges are set but centers still look slightly underdone.
Let cool on baking sheet for 5 minutes before transferring to a wire rack to cool completely.