Geometric construction of the Quantum Hall Effect in all even dimensions
Condensed Matter
2008-11-26 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The Quantum Hall Effects in all even dimensions are uniformly constructed. Contrary to some recent accounts in the literature, the existence of Quantum Hall Effects does not {\it crucially} depend on the existence of division algebras. For QHE on flat space of even dimensions, both the Hamiltonians and the ground state wave-functions for a single particle are explicitly described. This explicit description immediately tells us that QHE on a higher even dimensional flat space shares the common features such as incompressibility with QHE on plane.
Keywords
Cite
@article{arxiv.cond-mat/0306351,
title = {Geometric construction of the Quantum Hall Effect in all even dimensions},
author = {Guowu Meng},
journal= {arXiv preprint arXiv:cond-mat/0306351},
year = {2008}
}
Comments
11 pages, the final published version