2000

Large-scale low-energy excitations in 3-d spin glasses

Jérôme Houdayer 1, Florent Krzakala 2, Olivier C. Martin 2 European Physical Journal B 18 (2000) 467-477 We numerically extract large-scale excitations above the ground state in the 3-dimensional Edwards-Anderson spin glass with Gaussian couplings. We find that associated energies are O(1), in agreement with the mean field picture. Of further interest are the position-space properties of these excitations. First, our study

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Interactions and Interference in Quantum Dots: Kinks in Coulomb Blockade Peak Positions

Harold U. Baranger 1, 2, Denis Ullmo 3, Leonid I. Glazman 4 Physical Review B 61 (2000) R2425-2428 We investigate the spin of the ground state of a geometrically confined many-electron system. For atoms, shell structure simplifies this problem– the spin is prescribed by the well-known Hund’s rule. In contrast, quantum dots provide a controllable setting for studying the interplay of quantum interference and

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Interaction-Induced Magnetization of the Two-Dimensional Electron Gas

F. Von Oppen 1, D. Ullmo 2, H. U. Baranger 3 Physical Review B 62 (2000) 1935-1942 We consider the contribution of electron-electron interactions to the orbital magnetization of a two-dimensional electron gas, focusing on the ballistic limit in the regime of negligible Landau-level spacing. This regime can be described by combining diagrammatic perturbation theory with semiclassical techniques. At sufficiently low

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Individual energy level distributions for one-dimensional diagonal and off-diagonal disorder

Christophe Texier 1 Journal of Physics A 33 (2000) 6095-6128 We study the distribution of the $n$-th energy level for two different one-dimensional random potentials. This distribution is shown to be related to the distribution of the distance between two consecutive nodes of the wave function. We first consider the case of a white noise potential and

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Exact Meander Asymptotics: a Numerical Check

Philippe Di Francesco 1, Emmanuel Guitter 1, Jesper Lykke Jacobsen 2 Nuclear Physics B 580 (2000) 757-795 This note addresses the meander enumeration problem: \’Count all topologically inequivalent configurations of a closed planar non self-intersecting curve crossing a line through a given number of points\’. We review a description of meanders introduced recently in terms of the coupling to gravity of

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