Séminaire de Physique Théorique

Application of momentum space topology to anomalous quantum Hall effect and to chiral magnetic effect
Mikhail Zubkov (Le Studium, LMPT)
Thursday 09 June 2016 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
Using derivative expansion applied to the Wigner transform of the two - point Green function we analyze the anomalous quantum Hall effect (AQHE), and the chiral magnetic effect (CME). The corresponding currents are proportional to the momentum space topological invariants. We reproduce the conventional expression for the Hall conductivity in (2+1) D. At the same time using this method we prove, that in the equilibrium theory the static CME is absent in a certain class of solids, as well as in the properly regularized relativistic quantum field theory. The existence of CME understood more widely (non – equilibrium, non – homogeneous, etc) is not excluded by our consideration.

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