Maybe someone here can give a better answer, but I consider solid state physics to be the basis of materials science, which is to say that every materials science topic overlaps with SSP. A good analogy is chemistry and physics - to study chemistry, you can memorize rules and laws, but to truly understand reactions and electron exchange, you need to understand how subatomic particles behave fundamentally. Similarly, to understand how materials grow and behave, you need to understand the underlying structure of its atoms and the consequences of their arrangement.
Where are the solid-state Physics and Material Sciences overlapping? which topics?
This is similar to asking where do cooking and the restaurant business overlap.
Material sciences make use of solid state physics. Solid state physics (or more generally, condensed matter physics) is the "explanation" of what you see in material science.