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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 2 (1998) pp 223-227
Level curvatures, spectral statistics and scaling for interacting particles
E. Akkermans (1) (a), J.-L. Pichard (2)
(1) Department of Physics, Technion, Israel Institute of Technology, 32000 Haifa, Israel
(2) CEA, Service de Physique de l'État Condensé, Centre d'Études de Saclay, 91191 Gif-sur-Yvette Cedex, France
Received: 26 September 1997 / Accepted: 30 October 1997
Abstract: The mobility of two interacting particles in a random potential is studied, using the sensitivity of their levels to a change of boundary conditions. The delocalization in Hilbert space induced by the interaction of the two particle Fock states is shown to decrease the mobility in metals and to increase it in insulators. In contrast to the single particle case, the spectral rigidity is not directly related to the level curvature. Therefore, another curvature of topological origin is introduced, which defines the energy scale below which the spectrum has the universal Wigner-Dyson rigidity.
PACS. 72.15.-vElectronic conduction in metals and alloys[:AND:] 73.20.-rSurface and interface electron states
(a) e-mail: eric@physics.technion.ac.il
Online publication: February 17, 1998
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