H is the Hamiltonian. Here we set µ=0. For grand-canonical calculations add -6µ to the main diagonal.

4*h + U	(I*(3*I + Sqrt[3])*t)/Sqrt[2]	0
((-3 - I*Sqrt[3])*t)/Sqrt[2]	4*h + U	(I/2)*(3*I + Sqrt[3])*t
0	(-I/2)*(-3*I + Sqrt[3])*t	4*h + U