Two-site "tight-binding model"

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The discussion centers on the computation of the time-resolved Resonant Inelastic X-ray Scattering (RIXS) spectrum for an electron in a two-site tight-binding model under a strong electric field. The term "two-site" refers to a system where a unit cell contains two atomic orbitals located at different sites, forming the basis of the tight-binding model. Upon diagonalizing the tight-binding Hamiltonian, two energy bands are produced, with electrons occupying the lower band when a gap exists between the bands. An example provided is the two-band model of graphene, illustrating the concept effectively.

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  • Diagonalization of Hamiltonians
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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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