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arXiv · 1112.6375

Aharonov-Bohm magnetism and Landau diamagnetism in semimetals

Eugene B. Kolomeisky·Joseph P. Straley
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Abstract

We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux, in the absence of interactions. We predict nullification of the Aharonov-Bohm effect for a class of dispersion laws that includes "non-relativistic" dispersion and demonstrate that at zero flux the ground-state of a very short "armchair" graphene tube will exhibit a ferromagnetic broken symmetry. We also compute the diamagnetic response of bulk semimetals to the presence of a uniform magnetic field, specifically predicting that the susceptibility has a logarithmic dependence on the size of the sample.

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Eugene B. Kolomeisky, Joseph P. Straley. 2011-12-29. Aharonov-Bohm magnetism and Landau diamagnetism in semimetals. https://doi.org/10.1088/1402-4896/adb798

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