Place the peaches in boiling water, let them steep briefly and lift them out again with the slotted spoon. Now the skin can be easily peeled off and the fruit pitted.
Peel the banana and puree with all the other ingredients in the blender, first on a low level, then on a higher level, until creamy. The smoothie should be nice and fine.
Divide between two glasses and enjoy sprinkled with brittle.