SCALING, DIFFUSION, AND THE INTEGER QUANTIZED HALL-EFFECT

The behavior of the two-particle spectral function, S(q), is examined in the hydrodynamic regime, at the mobility edge in a model for the integer quantized Hall effect. Results are presented from numerical diagonalization of the Hamiltonian for finite systems. For q2 small, S(q) has a conventional,...

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Hauptverfasser: Chalker, J, Daniell, G
Format: Journal article
Sprache:English
Veröffentlicht: 1988
Beschreibung
Zusammenfassung:The behavior of the two-particle spectral function, S(q), is examined in the hydrodynamic regime, at the mobility edge in a model for the integer quantized Hall effect. Results are presented from numerical diagonalization of the Hamiltonian for finite systems. For q2 small, S(q) has a conventional, diffusive form. For q2 large, the novel dependence S(q,)±-±2q- 2+± is obtained, with ±=0.38±±0.04. © 1988 The American Physical Society.