Geometric construction of the Quantum Hall Effect in all even dimensions
凝聚态物理
2008-11-26 v4 高能物理 - 理论
数学物理
math.MP
摘要
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.
引用
@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}
}
备注
11 pages, the final published version