According to the dictionary:
peak - the pointed top of a mountain; a mountain with a pointed top
summit - the highest point of something, especially the top of a mountain
peak — the pointed top of a mountain; a mountain with a pointed top
summit — the highest point of something, especially the top of a mountain
In the picture of the "mountain"“mountain” word entry in Oxford Advanced Learner's Dictionarythe Oxford Advanced Learner’s Dictionary, they look the same:
So, what is the difference between these two words in the meaning of a mountain top?