Random Aharonov-Bohm vortices and some funny families of integrals

Details Random Aharonov-Bohm vortices and some funny families of integrals Random Aharonov-Bohm vortices and some funny families of integrals

2005-02-15

arxiv.org/abs/cond-mat/0502366v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages

Scientific paper

10.1088/1742-5468/2005/09/P09004

A review of the random magnetic impurity model, introduced in the context of the integer Quantum Hall effect, is presented. It models an electron moving in a plane and coupled to random Aharonov-Bohm vortices carrying a fraction of the quantum of flux. Recent results on its perturbative expansion are given. In particular, some funny families of integrals show up to be related to the Riemann $\zeta(3)$ and $\zeta(2)$.

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