Aharonov-Bohm magnetism and Landau diamagnetism in semimetals

• URL: http://arxiv.org/abs/1112.6375v2
• Date: Tue, 18 Feb 2025 13:46:08 GMT
• Title: Aharonov-Bohm magnetism and Landau diamagnetism in semimetals
• Authors: Eugene B. Kolomeisky, Joseph P. Straley,
• Abstract summary: We compute the magnetic response of hollow semimetal cylinders and rings to the presence of an axial Aharonov-Bohm magnetic flux.<n>We also compute the diamagnetic response of bulk semimetals to the presence of a uniform magnetic field.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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