Simmer the milk, cream and sugar together until just boiling. Whisk in the chocolate and whisk until melted. Don't boil. You can either mix all the peppermint schnapps into the hot chocolate or use 1 1/2 oz. schnapps in each cup of hot chocolate. Top with whipped cream and garnish with candy cane if desired.: You will notice steam rising and small bubbles appearing at the edges of the pan, which signals the right temperature range. As the mixture warms it smells milky and slightly sweet, and the sugar should dissolve fully so there is no graininess. Use medium low heat to avoid scalding, stirring gently so the dairy does not form a skin. A common mistake is bringing the liquid to a full rolling boil, which can separate the cream and create a cooked milk flavor, so remove from heat the instant you see the thin stream of bubbles around the pan perimeter.
This recipe will make 2 large cups of hot chocolate.: Once the pan is off the direct heat, add the chopped semisweet chocolate in small handfuls while whisking steadily so it melts into a glossy emulsion. The sound becomes quiet and the surface turns smooth and reflective, with no gritty bits. The chocolate should melt into ribbons and fully incorporate, creating a luxurious, slightly thickened texture. If you rush this step or add the chocolate to a cold pot, lumps can form; if it seems sluggish, a brief, low heat over a double boiler while stirring will finish the melt gently.
Do not boil: Keep the mixture warm, not boiling, as sustained high heat can break the texture and dull the chocolate flavor. The right feel is a gentle shimmer on the surface, and when you dip a spoon you should see a coating that slowly drips back. Boiling can cause the milk proteins to seize or the cream to split; if the mixture looks separated, lower the heat and whisk vigorously to reintegrate. Avoid this by maintaining a steady medium low temperature and close attention.
Add the peppermint schnapps either to the whole pot or per cup: The peppermint schnapps brings a bright aromatic lift, and when added you will notice a fresh mint perfume rising from the mug. If you add the liquor to the entire batch, whisk it in off the heat so the alcohol aroma melds without evaporating too quickly. If you prefer to control strength, measure about 1 1/2 oz. per cup and pour into each mug, which lets guests choose. A pitfall here is overheating after adding alcohol, which can mute flavors, so add at the end and keep the temperature moderate.
Top with whipped cream and garnish with candy cane if desired: Finishing with whipped cream adds a cooling, airy contrast to the warm, rich beverage, and crushed candy cane provides texture and a burst of peppermint crunch. The contrast of hot and cold enhances the drinking experience, while a colorful garnish makes the presentation festive. Be careful not to overload the mug with heavy toppings that will make it hard to sip; a light crown of cream and a small stick or shards of candy cane are usually perfect.
This recipe will make 2 large cups of hot chocolate: Expect two generous servings, which makes this ideal for a cozy night for two. When pouring, watch the viscosity; a properly made batch pours with a slow, viscous ribbon and leaves a slight coating on the ladle. If it seems too thin, allow it to sit off heat for a couple of minutes to thicken slightly, or add a touch more chopped semisweet chocolate and whisk until integrated. Avoid overheating if reheating a second time, as repeated high heat can dull the chocolate notes.