Topological Features of the Magnetic Response in Inhomogeneous Magnetic Fields

Details Topological Features of the Magnetic Response in Inhomogeneous Magnetic Fields Topological Features of the Magnetic Response in Inhomogeneous Magnetic Fields

1998-12-18

arxiv.org/abs/cond-mat/9812322v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages

Scientific paper

We present topological features of the magnetic response (orbital and spin) of a two-dimensional degenerate and 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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