I am manually writing a correlation function for Fermions (that is, not using AutoMPO).
In order to include the Jordan-Wigner string, will I need to use bosonic operators (i.e. A and A^dag) instead of fermionic operators (C and C^dag), along with Jordan-wigner string operators, F?
Or, do I write the correlation function in terms of C operators along with F operators? That is, since the MPS that this correlation function acts on is for spinful fermions, I must use C operators, and then also need F operators because they don't automatically include the F operators?
Sorry if this has been covered before, but this is a point of significant confusion for me.