INVESTIGADORES
ZEMBA Guillermo Raul
artículos
Título:
Infinite Symmetry in the Quantum Hall Effect
Autor/es:
A. CAPPELLI, C. A TRUGENBERGER , G. R. ZEMBA
Revista:
NUCLEAR PHYSICS B
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam, Holanda; Año: 1993 vol. 396 p. 465 - 490
ISSN:
0550-3213
Resumen:
Free planar electrons in a uniform magnetic field are shown to possess
the dynamical symmetry of area-preserving diffeomorphisms (W-infinity
algebra). Intuitively, this is a consequence of gauge invariance, which
forces dynamics to depend only on the flux. The infinity of generators
of this symmetry act within each Landau level, which is infinite
dimensional in the thermodynamic limit. The incompressible ground
states corresponding to completely filled Landau levels (integer
quantum Hall effect) possess a dynamical symmetry, since they are left
invariant by an infinite subset of generators. This geometrical
characterization of incompressibility also holds for fractional
fillings of the lowest level (simplest fractional Hall effect) in the
presence of Haldane's effective two-body interactions. Although these
modify the symmetry algebra, the corresponding incompressible ground
states proposed by Laughlin are again symmetric with respect to the
modified infinite algebra.