Dear Matthias:
  I begin with the Hamiltonian for a chain with spins S=1/2 ,
    
   use periodic boundary conditions ,the total number of sites is N=20. calculate correlation :
  Offdiagonal spin correlations  has problem,
    why 0-0  and  0-1   offdiagonal spin  correlations  value is 0   ??
   
Offdiagonal spin correlations[( 0 ) -- ( 0 )] 0
Offdiagonal spin correlations[( 0 ) -- ( 1 )] 0
Offdiagonal spin correlations[( 1 ) -- ( 0 )] 0.2499999999999999
Offdiagonal spin correlations[( 1 ) -- ( 1 )] 0.01195256946918583
Offdiagonal spin correlations[( 0 ) -- ( 1 )] -0.1410917216909388
Offdiagonal spin correlations[( 0 ) -- ( 2 )] -0.02578705926914329
Offdiagonal spin correlations[( 1 ) -- ( 1 )] 0.05437436640436828
Offdiagonal spin correlations[( 1 ) -- ( 2 )] 0.01374443422199295
Offdiagonal spin correlations[( 0 ) -- ( 2 )] -0.04722700778251831
Offdiagonal spin correlations[( 0 ) -- ( 3 )] -0.01673969792911871
Offdiagonal spin correlations[( 1 ) -- ( 2 )] 0.06699300813943075
Offdiagonal spin correlations[( 1 ) -- ( 3 )] 0.002194337470049455