Abstract
We present topological features of the magnetic response (orbital and spin) of a two-dimensional non interacting electron gas due to inhomogeneous applied magnetic fields. These issues are analysed from the point of view of the Index theory with a special emphasis on the non perturbative aspects of this response. The limiting case of a Aharonov-Bohm magnetic flux line is studied in details and the results are extended to more general situations.
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Akkermans, E., Narevich, R. (1999). Topological Features of the Magnetic Response in Inhomogeneous Magnetic Fields. In: Lerner, I.V., Keating, J.P., Khmelnitskii, D.E. (eds) Supersymmetry and Trace Formulae. NATO ASI Series, vol 370. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4875-1_16
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DOI: https://doi.org/10.1007/978-1-4615-4875-1_16
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