Thermoacidophiles don't have a single common name. They are often referred to simply as thermoacidophiles or sometimes acidophilic thermophiles.

However, depending on their specific characteristics, they might be referred to by their taxonomic classification, such as:

* Sulfolobus: A genus of archaea that are thermoacidophiles.

* Acidianus: Another genus of archaea that are thermoacidophiles.

* Thermoplasma: A genus of archaea that are thermoacidophiles.

It's important to note that the term "thermoacidophile" is a descriptive term and not a formal taxonomic classification.