publications

Random multi-index matching problems

O. C. Martin 1, M. Mezard 1, O. Rivoire 1 Journal of Statistical Mechanics: Theory and Experiment 1 (2005) P09006 The multi-index matching problem (MIMP) generalizes the well known matching problem by going from pairs to d-uplets. We use the cavity method from statistical physics to analyze its properties when the costs of the d-uplets are random. At low temperatures we

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Random Aharonov-Bohm vortices and some exactly solvable families of integrals

Stephane Ouvry 1 Journal of Statistical Mechanics: Theory and Experiment 1 (2005) P09004 A review of the random magnetic impurity model, introduced in the context of the integer Quantum Hall effect, is presented. It models an electron moving in a plane and coupled to random Aharonov-Bohm vortices carrying a fraction of the quantum of flux. Recent results

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Quantum oscillations in mesoscopic rings and anomalous diffusion

Christophe Texier 1, 2, Gilles Montambaux 2 Journal of Physics A 38 (2005) 3455-3471 We consider the weak localization correction to the conductance of a ring connected to a network. We analyze the harmonics content of the Al\’tshuler-Aronov-Spivak (AAS) oscillations and we show that the presence of wires connected to the ring is responsible for a behaviour different from the

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Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials

P. Di Francesco 1, Paul Zinn-Justin 2 Journal of Physics A 38 (2005) L815-L822 We prove higher rank analogues of the Razumov–Stroganov sum rule for the groundstate of the O(1) loop model on a semi-infinite cylinder: we show that a weighted sum of components of the groundstate of the A_{k-1} IRF model yields integers that generalize the numbers of

Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials Lire la suite »

Propagation of a Dark Soliton in a Disordered Bose-Einstein Condensate

N. Bilas 1, N. Pavloff 1 Physical Review Letters 95 (2005) 130403 We consider the propagation of a dark soliton in a quasi 1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary transmission coefficients through a nonlinear disordered slab, it is a

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