I would like to define three different J values for nearest neighbour (nn) next nearest neighbour (nnn) next to next nearest neighbour (nnnn) for honeycomb lattice.

If I define J0, J1, J2 to the existing honeycomb lattice model (which is available in source files), is these are nothing but J values for nearest neighbour (nn) next nearest neighbour (nnn) next to next nearest neighbour (nnnn) for honeycomb lattice?.

In other way, J0, J1, J2...... are they represent the nearest neighbour J values??

I did not got any information how J0, J1, J2..... will be considered in exiting lattices

Thank you