Hello everyone.
I was wondering if there is litterature that study the influence of the hydrostatic pressure on the electronic band structure from a theoretical point of view. I've found many papers that shows the evolution of the band gap and the electronic structure with the pressure but not one with a theoretical study of that.
Best wishes.
Benjamin Martin.
Dear Benjamin Martin in addition to the previous interesting post, I can add a few words just in case the model refers to the electrons-free model for a 3D Fermi surface, under external pressure P, the so-called electronic 2-1/2 electronic phase transition (Lifzhits transition -LT)
LT can happen and is due to the change of the topology of the 3D Fermi surface in normal metals or graphene. There are other ones, but this LT is investigated now mostly in the normal state of some heavy fermions.
Please read the following reference, it is an open-access article for the case of graphene, it is very instructive, theoretically consist in the calculation of an additional term to the Gibbs free energy (Omega free potential):
Article Role of the Lifshitz topological transitions in the thermody...
Best Regards.
Dear Benjamin,
Hi.
In the first chapters of solid-state books, like Kittel, you can find schematic diagram that shows the evolution of degenerate atomic levels into electronic bands.
To get a sense, you may also try the hydrogen molecule (dimer) with bond-length R, and see how the ground-state energy varies with R.
Bests,
Mahmoud
Dear all, thank you for your answers. I will investigate what you talked about !
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