Magnetic Susceptibility in the Aharonov-Bohm Experiment

We study the magnetization M and the magnetic susceptibility X of both an electron and many ideal electrons on a ring and a more realistic hollow disk for the Aharonov-Bohm experiment. That is, how does the electron respond to the change of a nontrivial vector potential when the magnetic field is zero? Numerical results of M(T) and X(T) for the ring case are supported by analytic expressions. Similar analytic expressions for the disk are only possible when we assume, based on the qualitative resemblance of its numerical results with the ring case, the eigenenergies are separable into radial andangular parts. Although this approximation is only justified rigorously when the disk is narrow, numerical results provides evidence to extend its validity to even a wide disk as long as the electron number is not too large.

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延伸閱讀

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Magnetic Susceptibility in the Aharonov-Bohm Experiment

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