There isn't a single common name for thermoacidophiles. They are often referred to simply as thermoacidophiles, reflecting their ability to thrive in both high temperatures and acidic environments.

However, you might encounter other terms depending on the context:

* Acidophilic thermophiles: This emphasizes both their acid tolerance and heat preference.

* Sulfolobus: This is the genus name of a well-known and studied group of thermoacidophiles, often used as a representative example.

It's important to remember that thermoacidophiles are a diverse group of microorganisms with varying characteristics, and their specific names often depend on their specific environmental niches and phylogenetic relationships.