01 - Preheat your oven to 350°F (175°C). Line a 10x15 inch jelly roll pan with parchment paper.
02 - In a medium bowl, whisk together the all-purpose flour, cocoa powder, baking powder, and salt. In a separate large bowl, beat the eggs and granulated sugar for 3 to 4 minutes until the mixture is thick and pale. Gently fold the dry ingredients into the egg mixture, then fold in the vanilla extract.
03 - Spread the batter evenly in the prepared pan. Bake for 10 to 12 minutes, or until a toothpick inserted into the center comes out clean. While the sponge is still warm, invert it onto a clean kitchen towel that has been dusted with powdered sugar. Carefully roll up the sponge with the towel inside and let it cool completely.
04 - In a chilled bowl, whip the heavy cream with the powdered sugar and peppermint extract until it forms soft peaks. Once the sponge has cooled, gently unroll it. Spread the peppermint cream evenly over the sponge, leaving a small border. Re-roll the sponge carefully without the towel.
05 - Pour the warm chocolate ganache over the rolled cake, ensuring it is fully coated. Immediately sprinkle the crushed candy canes over the ganache. Chill the Yule Log for at least 30 minutes to allow the ganache to set.