Excuse my ignorance, but what legal monopoly does USPS have? I was under the impression that any company is allowed to carry mail in the US.
The term to search for is "Private Express Statutes": https://en.wikipedia.org/wiki/Private_Express_Statutes.
This article (titled "Universal Service and the Postal Monopoly: A Brief History") goes into more depth: https://about.usps.com/universal-postal-service/universal-se...
See eg https://en.wikipedia.org/wiki/United_States_Postal_Service#C...