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

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