I Two-site "tight-binding model"

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The term "two-site" in the tight-binding model refers to a system with two atomic orbitals located at different sites within a unit cell. This model allows for the diagonalization of the Hamiltonian, resulting in two energy bands. In this context, having one electron means that the unit cell contains a single electron occupying the lower band, assuming a gap exists between the two bands. An example of this model can be seen in the two-band structure of graphene. Understanding this framework is crucial for computing the time-resolved RIXS spectrum in the presence of a strong electric field.
amjad-sh
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Hello,
I've been asked to compute the time-resolved RIXS spectrum for an electron on a two-site "tight-binding model" in the presence of a strong electric field.
What it is meant by the term two-site here? does it mean a system of one electron and just two atoms?
Thanks
 
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Hi,
I guess here two-site means, in the unit cell there are two atomic orbitals at different sites, which constitute the basis of TB model. After diagonalizing the TB hamiltonian, you will get two bands. One electron means the unit cell only contains one electron. In the other words, electrons only occupy the lower bands of two bands (suppose there is a gap between two bands). A typical example I can think of is two band model of graphene. Hope it helps!
 

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