Ask HN: How do you respond to a promotion and raise?
I very recently received a promotion but aside from signing the documents is there anything I should do for my boss?
If you really feel compelled to thank your supervisor take them out to lunch and tell them you appreciate the promotion and ask pointedly what they are expecting of you in this new role. This way you gain clarity for what is expected of you and understand some of your supervisors pain points while simultaneously showing your gratitude. As a manager I find this to be an invigorating conversation. Many people only want to know what they can do to be promoted, those that are best suited ask how can they make the team better and what are the pain points that they could help resolve or at the minimum not exacerbate.