publications

Spin and link overlaps in 3-dimensional spin glasses

F. Krzakala 1, O. C. Martin 1 Physical Review Letters 85 (2000) 3013-3016 Excitations of three-dimensional spin glasses are computed numerically. We find that one can flip a finite fraction of an LxLxL lattice with an O(1) energy cost, confirming the mean field picture of a non-trivial spin overlap distribution P(q). These low energy excitations are not domain-wall-like, rather […]

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Spectral statistics of chaotic systems with a point-like scatterer

Eugene Bogomolny 1, Patricio Leboeuf 1, Charles Schmit 1 Physical Review Letters 85 (2000) 2486-2489 The statistical properties of a Hamiltonian $H_0$ perturbed by a localized scatterer are considered. We prove that when $H_0$ describes a bounded chaotic motion, the universal part of the spectral statistics are not changed by the perturbation. This is done first within the random matrix model.

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Spectral determinant on quantum graphs

Eric Akkermans 1, 2, 3, Alain Comtet 3, Jean Desbois 3, Gilles Montambaux 2, Christophe Texier 3, 4 Annals of Physics 284 (2000) 10-51 We study the spectral determinant of the Laplacian on finite graphs characterized by their number of vertices V and of bonds B. We present a path integral derivation which leads to two equivalent expressions of the spectral determinant of the Laplacian either in terms

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Quantum unique ergodicity for parabolic maps

Jens Marklof 1, 2, Zeev Rudnick GAFA Geometric And Functional Analysis 10 (2000) 1554-1578 We study the ergodic properties of quantized ergodic maps of the torus. It is known that these satisfy quantum ergodicity: For almost all eigenstates, the expectation values of quantum observables converge to the classical phase-space average with respect to Liouville measure of the corresponding classical

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Plateau transitions in fractional quantum Hall liquids

Ken-Ichiro Imura 1 European Physical Journal B 15 (2000) 155-160 Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the tunneling conductance $G$. We find a selection rule for the sequence which begins

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