FQHESphereFermionsWithSpin provides exact diagonalization of any two-body hamiltonian for fermions with SU(2) on the sphere geometry. The way to use this code close to the one of FQHESphereFermionsTwoBodyGeneric. FQHESphereFermionsWithSpin works in a given sector of total spin projection along z (Sz) that can be set using the -s or --total-sz option.
The interaction is specified through its Haldane pseudo-potentials. Such a file can be generated using CoulombPseudopotentials for SU(2) invariant interaction. In the most generic case, it looks like
PseudopotentialsUpUp = 1.0 1.0 1.0 0.0 0.0 0.0 PseudopotentialsDownDown = 1.0 1.0 1.0 0.0 0.0 0.0 PseudopotentialsUpDown = 1.0 0.0 0.0 0.0 0.0 0.0
This example, for the Halperin (331) state, shows the naming convention to provide the pseudo-potentials between two spin up, two spin down and spin up / spin down.