Citation
Sc. Zhang et Jp. Hu, A four-dimensional generalization of the quantum Hall effect, SCIENCE, 294(5543), 2001, pp. 823-828
Citations number
24
Categorie Soggetti
Multidisciplinary,Multidisciplinary,Multidisciplinary
Journal title
SCIENCE
ISSN journal
00368075
→ ACNP
Volume
294
Issue
5543
Year of publication
2001
Pages
823 - 828
Database
ISI
SICI code
0036-8075(20011026)294:5543<823:AFGOTQ>2.0.ZU;2-7
Abstract
We construct a generalization of the quantum Ha effect, where particles mov
e in four dimensional space under a SU(2) gauge field. This system has a ma
croscopic number of degenerate single particle states. At appropriate integ
er or fractional filling fractions the system forms an incompressible quant
um liquid. Gapped elementary excitation in the bulk interior and gapless el
ementary excitations at the boundary are investigated.