2004

Landau theory of glassy dynamics

Satya Majumdar 1, 2, Dibyendu Das 3, Jane’ Kondev 4, Bulbul Chakraborty 4 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 70 (2004) 060501 An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering trajectories rapidly diminishes as

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Landau Fermi Liquid Picture of Spin Density Functional Theory: Strutinsky Approach to Quantum Dots

Denis Ullmo 1, 2, Hong Jiang 2, 3, Weitao Yang 3, Harold U. Baranger 2 Physical Review B 70 (2004) 205309 We analyze the ground state energy and spin of quantum dots obtained from spin density functional theory (SDFT) calculations. First, we introduce a Strutinsky-type approximation, in which quantum interference is treated as a correction to a smooth Thomas-Fermi description. For large irregular dots, we find

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Glassy phases in Random Heteropolymers with correlated sequences

Markus Muller 1, Marc Mézard 1, Andrea Montanari 2 Journal of Chemical Physics 120 (2004) 11233 We develop a new analytic approach for the study of lattice heteropolymers, and apply it to copolymers with correlated Markovian sequences. According to our analysis, heteropolymers present three different dense phases depending upon the temperature, the nature of the monomer interactions, and the sequence correlations:

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Glass models on Bethe lattices

Olivier Rivoire 1, Giulio Biroli 2, Olivier C. Martin 1, Marc Mézard 1 European Physical Journal B 37 (2004) 55-78 We consider « lattice glass models » in which each site can be occupied by at most one particle, and any particle may have at most l occupied nearest neighbors. Using the cavity method for locally tree-like lattices, we derive the phase diagram, with a particular

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Fermionic field theory for trees and forests

Sergio Caracciolo 1, Jesper-Lykke Jacobsen 2, Hubert Saleur 3, 4, Alan D. Sokal 5, Andrea Sportiello 1 Physical Review Letters 93 (2004) 080601 We prove a generalization of Kirchhoff’s matrix-tree theorem in which a large class of combinatorial objects are represented by non-Gaussian Grassmann integrals. As a special case, we show that unrooted spanning forests, which arise as a q \to 0 limit of the Potts model,

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Fermi-Edge Singularities in the Mesoscopic X-Ray Edge Problem

Martina Hentschel 1, Denis Ullmo 1, 2, Harold U. Baranger 1 Physical Review Letters 93 (2004) 176807 We study the x-ray edge problem for a chaotic quantum dot or nanoparticle displaying mesoscopic fluctuations. In the bulk, x-ray physics is known to produce deviations from the naively expected photoabsorption cross section in the form of a peaked or rounded edge. For a coherent system

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