Two-site "tight-binding model"

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In summary, the conversation discussed computing a time-resolved RIXS spectrum for an electron on a two-site "tight-binding model" in the presence of a strong electric field. The term "two-site" refers to a system with two atomic orbitals at different sites in the unit cell, which form the basis of the TB model. After diagonalizing the TB hamiltonian, two bands are obtained and in the case of one electron, it will occupy the lower band. This can be seen in the two band model of graphene.
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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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FAQ: Two-site "tight-binding model"

What is the Two-site "tight-binding model"?

The Two-site "tight-binding model" is a simplified theoretical model used in solid state physics to describe the electronic structure of a material. It assumes that the electrons can only move between two sites, or atoms, and that their energy is determined by the overlap between these sites.

How does the Two-site "tight-binding model" differ from other models?

The Two-site "tight-binding model" is a simplified version of the more complex tight-binding model. It assumes that the only important interactions between electrons are those between neighboring atoms, whereas the full tight-binding model takes into account interactions between all atoms in the material.

What are the advantages of using the Two-site "tight-binding model"?

One advantage of the Two-site "tight-binding model" is its simplicity, which makes it easier to solve mathematically and interpret results. It also provides a good starting point for understanding the electronic structure of more complex materials.

What are the limitations of the Two-site "tight-binding model"?

The Two-site "tight-binding model" is a highly simplified model and does not take into account many important factors, such as electron-electron interactions and the effects of crystal lattice vibrations. It also cannot accurately describe materials with more than two atoms per unit cell.

How is the Two-site "tight-binding model" used in research?

The Two-site "tight-binding model" is often used as a starting point for more complex models in research. It can also be used to make qualitative predictions about the electronic properties of materials and to gain a better understanding of the underlying physics of electronic systems.

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