Does tags.php exist?

Hello! I would like to style the way tag results are displayed. Currently, when I click on one of the tags in a post (e.g. “Recipes”), the archive.php template is being pulled to show all posts with that particular tag. I would like for tag results to have their own template and not default to archive.php. Is this possible? I assumed I just need to create a tags.php, but did not find any documentation in the codex.