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Solid-state physics studies how macroscopic properties of solids (mechanical, electrical, optical, etc.) result from their microscopic structure. It usually deals with the scale where quantum properties of the particles are substantial.
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Peierls substitution vs minimal coupling
Peierls substitution is just an assumption. It first appears in the paper of Hofstadter butterfly. The magnetic field should be small so that it could be valid. In old times (Luttinger,Kohn), people t …
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A question about the flat band [closed]
I've heard many about the idea of flat band,but I'm still confused.
We've learn the idea of band from solid state physics. It has origin in ignoring the Coulombic interaction and diagonalizing the mom …
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Completeness in Bloch states
We know from the Bloch theorem that, in a periodic potential, the eigen wave functions are $\Phi_{kn}(r) = e^{ikr} u_{kn}(r)$ where n is the band index. So the solution can be expanded by them. Furthe …