Quantum Hall conductivity in a Landau type model with a realistic geometry. (English) Zbl 1025.81053
A new formalism which allows to compute the conductivity of the quantum Hall effect is presented. These calculations are based on physical assumptions made about applicability of the Kubo formula related to the first Chern class of a line vector bundle. Physical boundary conditions following from the geometry and the physics of a Landau type model of the quantum Hall effect in a two-dimensional interacting electron gas are translated into a mathematical formulation of self-adjointness of operators on the Hilbert space related to the problem.
Reviewer: Václav Burjan (Praha)
MSC:
| 81V70 | Many-body theory; quantum Hall effect |
| 47N50 | Applications of operator theory in the physical sciences |
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