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Eigenstates in a 2D metal disk with finite-size perpendicular magnetic field (Piece-wise Gauge)
Let's have a two-dimensional metal disk with radius R, and now I apply a uniform magnetic field B perpendicular to the disk, within the concentric part of the disk with radius r $\lt$ R. How can we ...
2
votes
1
answer
2k
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Landau levels in 2D
I seem to be having a very basic misunderstanding of Landau levels in 2D. Consider the derivation give on page 7 here, where we consider electrons free to move in 2 dimensions, with a magnetic field ...
2
votes
1
answer
737
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2D electron gas in magnetic field
I am trying to understand the derivation for the wavefunctions and levels of free electrons in a 2D surface perpendicular to a magnetic field. The usual prescription is to take a vector potential $\...