After you file

You said you got your federal refund so you don't need to call the IRS.  You need to check with your state.

 

Check for a state refund  https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571

 

Make sure you are using the refund amount from your actual state tax return and not the combined amount Turbo Tax showed you at the end.  That was for federal and state combined.

 

Contact your state

https://ttlc.intuit.com/community/state-taxes/help/how-do-i-contact-my-state-department-of-revenue/0...

 

Was your state return Accepted?  Double check your efile status here

https://turbotax.intuit.com/tax-tools/efile-status-lookup  

 

When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc.  what does it say?