How to executing cron one minute after midnight every day?
Let's get the definitions straight: cron is a daemon that is designed to run continuously and execute commands at specified intervals when you tell it to.
To do that, it needs two things: an interval and a command.
Your example has a valid interval, but is missing a command to execute one minute after midnight:
1 0 * * * * /path/to/executable/or/script/here