A Four-Dimensional Generalization of the Quantum Hall Effect

We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible qua...

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Veröffentlicht in:	Science (American Association for the Advancement of Science) 2001-10, Vol.294 (5543), p.823-828
Hauptverfasser:	Zhang, Shou-Cheng, Hu, Jiangping
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Angular momentum Atoms & subatomic particles Condensed matter: electronic structure, electrical, magnetic, and optical properties Coordinate systems Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures Electronic transport in interface structures Elementary excitations Exact sciences and technology Fractions Generalization Ground state Integers Isospin Liquids Particle energy Physics Quantum Hall effect Quantum hall effect (including fractional) Quantum mechanics Quantum theory Relativistic particles Studies Topology Wave functions
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Beschreibung
Zusammenfassung:	We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitation in the bulk interior and gapless elementary excitations at the boundary are investigated.
ISSN:	0036-8075 1095-9203
DOI:	10.1126/science.294.5543.823