Help. In tight binding 2d square lattice with two atoms basis
Physics Asked by Tornado mas on April 6, 2021
How we get the equations inside the box, which represent hopping between p and d orbital. I mean why we consider only two neighbouring.
Thanks in advance
One Answer
Welcome to PhysSE!
I didn't understand your first question, but I can answer the second one: these kinds of systems tend to have highly localized states - not in Anderson sense - such that its electronic clouds rarely pay visits to its neighbors'. The nearest-neighbor approximation can be done safely a lot of the time, because they usually are the most important in a material and suffice to explain its low-energy physics. Please, check Ashcroft and Mermin's Solid State Physics chapter 10 for an enlightening exposition, or Wikipedia's page for a quick start.
Just out of curiosity: which book are these images from?
Answered by daydreamer on April 6, 2021
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