Geometrical and Algebraic Structures in Quantum Hall Systems

Details Geometrical and Algebraic Structures in Quantum Hall Systems Geometrical and Algebraic Structures in Quantum Hall Systems

2005-03-15

arxiv.org/abs/cond-mat/0503357v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 1 figure, Talk given at the "Conference on Higher Dimensional Quantum Hall Effect, Chern-Simons Theory and Non-Commu

Scientific paper

We review the main features of a mathematical framework encompassing some of
the salient quantum mechanical and geometrical aspects of Hall systems with
finite size and general boundary conditions. Geometrical as well as algebraic
structures controlling possibly the integral or fractional quantization of the
Hall conductivity are discussed.

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