In a large bowl, whisk together the flour, cocoa powder, baking soda, espresso powder and salt until blended. Set aside.
In another large bowl, cream the butter, brown sugar and sugar until light and fluffy.
Add in egg, vanilla and peppermint extract and beat until incorporated.
Scrape down bowl as needed.
Gradually, add prepared dry ingredients to the bowl while beating on low until combined.
Fold in the chocolate chips until well distributed.
Cover and refrigerate at least 3 hours.
Preheat oven to 350.
Line baking sheet with silicone mat or parchment paper.
Scoop into roughly 1 1/2 tablespoon balls and place on prepared tray about 2-3" apart.
Bake for 11-12 minutes until edges appear set (centers will still look soft). Allow to cool.
Put white chocolate in microwave safe bowl and cook for 30 seconds and stirring until fully melted.
Dip each cooled cookie half way into the white chocolate and place onto parchment or silicone lined try.
Sprinkle white chocolate side with crushed candy cane.
Refrigerate for 1 hour to help set.