Staggered Potential

[rp092]

Good Evening to everyone.
This is the SPINLESS Hamiltonian that I would like to simulate:

H = Δ Σ_ j (-1)^j c*_ j c_ j - t Σ_ j (c*_ j+1 c_ j + H.c) + V Σ_ j n_ j n_ j+1

where * means dagger. As you can see the first term is equivalent to a staggered potential that lifts or lowers the energy of site j depending on its value (odd or even). In expert mode it is possible to modify the trans.def file which contains the value of the transfer integrals. Is it possible to integrate in that file the value Δ for i = j sites o does it exist a better choice?

Thanks for the attention

Riccardo Piombo.

[k-yoshimi]

Hi @rp092
There used to be a file that defines chemical potential, but now there is no longer.
So, to add staggered potential, please use trans.def file as you described.
For example, the one-body potential can be added as follows
(here, it is assumed that the system is fully saturated):

1 0 1 0 1.0
2 0 2 0 -1.0
3 0 3 0 1.0
4 0 4 0 -1.0
...

Do not forget to change the total number of transfer integrals defined at 2nd line in trans.def file.

Best regards,
Kazuyoshi Yoshimi