1996

Jean Desbois 1, Cyril Furtlehner 1, Stéphane Ouvry 1 Journal de Physique I 6 (1996) 641-648 One considers the effect of disorder on the 2-dimensional density of states of an electron in a constant magnetic field superposed onto a Poissonnian random distribution of point vortices. If one restricts the electron Hilbert space to the lowest Landau level of the total average […]

E. Bogomolny 1, O. Bohigas 1, P. Leboeuf 1 Journal of Statistical Physics 85 (1996) 639-679 We investigate the distribution of roots of polynomials of high degree with random coefficients which, among others, appear naturally in the context of \’quantum chaotic dynamics\’. It is shown that under quite general conditions their roots tend to concentrate near the unit circle in the

A. Leviatan 1, 2, N. D. Whelan 2, 3 Physical Review Letters 77 (1996) 5202-5205 Partial dynamical symmetry describes a situation in which some eigenstates have a symmetry which the quantum Hamiltonian does not share. This property is shown to have a classical analogue in which some tori in phase space are associated with a symmetry which the classical Hamiltonian does

K. Richter 1, 2, D. Ullmo 1, 3, R. A. Jalabert 1, 4 Physics Reports 276 (1996) 1-83 We present a general semiclassical theory of the orbital magnetic response of noninteracting electrons confined in two-dimensional potentials. We calculate the magnetic susceptibility of singly-connected and the persistent currents of multiply-connected geometries. We concentrate on the geometric effects by studying confinement by perfect (disorder free) potentials

Ullmo, D., Grinberg, M., Tomsovic, S. Physical Review E 54 (1996) 136-152

Cecile Monthus 1, 2, Jean-Philippe Bouchaud 3 Journal of Physics A 29 (1996) 3847-3869 We study various models of independent particles hopping between energy `traps\’ with a density of energy barriers $\\rho(E)$, on a $d$ dimensional lattice or on a fully connected lattice. If $\\rho(E)$ decays exponentially, a true dynamical phase transition between a high temperature `liquid\’ phase and a

Ouvry, S. Second International Sakharov Conference on Physics, Moscou World Scientific (1996) 527

K. Richter 1, 2, D. Ullmo 3, 4, R. A. Jalabert 5 Journal of Mathematical Physics 37 (1996) 5087-5110 We present a semiclassical theory of weak disorder effects in small structures and apply it to the magnetic response of non-interacting electrons confined in integrable geometries. We discuss the various averaging procedures describing different experimental situations in terms of one- and two-particle Green functions.

Bogomolny, E.B., Keating, J.P. Physical Review Letters 77 (1996) 1472-1475

Percus, A.G., Martin, O.C. Physical Review Letters 76 (1996) 1188-1191