Quantum Hall effect in higher dimensions

By D. Karabali, V. Nair. 2002

184 citations recorded by the source corpus.

Abstract Following recent work on the quantum Hall effect on S 4 , we solve the Landau problem on the complex projective spaces C P k and discuss quantum Hall states for such spaces. Unlike the case of  S 4 , a finite spatial density can be obtained with a finite number of internal states for each particle. We treat the case of  C P 2 in some detail considering both Abelian and nonAbelian background fields. The wavefunctions are obtained and incompressibility of the Hall states is shown. The case of  C P 3 is related to the case of  S 4 .

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/1165a07b7468d930818e3fb82e1ce3d14c584dc7