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work in progress--this is the band structure of the Ge 2x1 reconstructed surface--except i accidentally took some strange path through the brillouin zone ://
i need to fix that, label the high symmetry points, and scale distances correctly, but then it’ll look real nice.
still, it explains what we hoped it would, and it looks nice, so here it is. i’ll fix it in a few days.
i swear, sometimes i think my students are deliberately punishing themselves
Chapter 22: Introduction to Condensed Matter Physics
22.1 Introduction to Condensed Matter Physics Condensed matter physics is a branch of physics that deals with the study of the properties and behavior of solids, liquids, and other forms of condensed matter. The study of condensed matter is crucial for understanding the fundamental principles governing materials and their applications in various technologies. In this chapter, we will provide an…
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Fermi Surface
Introduction The Fermi Surface is a concept in quantum mechanics, particularly in the field of condensed matter physics. It is the surface in reciprocal space (momentum space) which separates occupied from unoccupied electron energy states at absolute zero temperature. Defining the Fermi Surface In a solid, the energy states of electrons, particularly those near the Fermi level, play a crucial…
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Energy Bands
Introduction In solid state physics, energy bands are ranges of energy that an electron within a solid may have and are based on the energies of atomic orbitals. The concept of energy bands and band gaps is a central concept that helps explain the electronic properties of solids, such as conductors, insulators, and semiconductors. Atomic Orbitals and Energy Levels In isolated atoms, electrons…
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Korringa–Kohn–Rostoker method
Introduction
As I mentioned in the previous post, I already have a project on KKR on GitHub1. I won’t add here a lot of description, I’ll point you some references instead. Usually I also try to add links to some other projects that are small enough to be comprehensible in a reasonable time, this time I couldn’t find one, although I searched for one on GitHub and with google. Please let me know…
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Augmented Plane Waves
Introduction
Again, I have a new project on GitHub. It’s not so new, it was working already last year (the APW part) but I didn’t have the patience to write a description for it until now. Actually, there are two new projects on GitHub, related, but this post is about the Augmented Plane Waves1one. Some things I’ll point out in this post are relevant to the KKR project, too. The description for…
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Tight Binding
Introduction
There are many methods to calculate band structures of crystals. I implemented the Empirical Pseudopotential project, some of the code can be reused for other methods. One of the methods is simple and fast, the tight binding method, so I simply took the code from the last project, cut a part out and modified another part and here it is: Semi-Empirical Tight-Binding1.
Here is the…
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