Correlated conductance through a lattice of quantum dots: Metal to antiferromagnetic insulator transition

The recursive Green's function and temperature Kubo formula are used to investigate the conductance quantization and the behavior of resonant tunneling through a finite lattice of quantum dots at low temperatures. A metal to antiferromagnetic insulator transition, which is driven by strong Hubbard interaction, is found around the half filling in the quantum dot lattice. Our numerical results explain that the Mott-insulator state is caused by the antiferromagnetic spin density wave.