2013

E. Noruzifar 1, P. Rodriguez-Lopez 2, T. Emig 3, R. Zandi 1 Physical Review A 87 (2013) 042504 We study the Casimir interaction between a metallic cylindrical wire and a metallic spherical particle by employing the scattering formalism. At large separations, we derive the asymptotic form of the interaction. In addition, we find the interaction between a metallic wire and an isotropic atom, […]

Paul Soulé 1 Thierry Jolicoeur 1 Philippe Lecheminant 2 Physical Review B (Condensed Matter), American Physical Society, 2013, 88, pp.235107 We study a quantum point contact in the fractional quantum Hall regime at Landau level filling factors 1/3 and 5/2. By using exact diagonalizations in the cylinder geometry we identify the edge modes in the

Arthur Lavarélo 1, Guillaume Roux 1, Nicolas Laflorencie 2 Physical Review B (Condensed Matter) 88, 13 (2013) 134420-134442 The magnetic responses of a spin-1/2 ladder doped with non-magnetic impurities are studied using various methods and including the regime where frustration induces incommensurability. Several improvements are made on the results of the seminal work of Sigrist and Furusaki [J. Phys. Soc. Jpn.

Alain Comtet 1, 2, Christophe Texier 1, 3, Yves Tourigny 4 Journal of Physics A: Mathematical and Theoretical 46 (2013) 254003 The concept of Lyapunov exponent has long occupied a central place in the theory of Anderson localisation; its interest in this particular context is that it provides a reasonable measure of the localisation length. The Lyapunov exponent also features prominently in the

Thierry Jolicoeur 1, Evgeni Burovski 2, Giuliano Orso 3 European Physical Journal – Special Topics 217 (2013) 3-12 One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how detailed experiments have shown direct evidence for the theoretical treatment

Arthur Lavarélo 1, Guillaume Roux 1 Physical Review Letters 110 (2013) 087204 We study the effect of disorder on frustrated dimerized spin-1/2 chains at the Majumdar-Ghosh point. Using variational methods and density-matrix renormalization group approaches, we identify two localization mechanisms for spinons which are the deconfined fractional elementary excitations of these chains. The first one belongs to the Anderson

M. I. Garcia de Soria 1, P. Maynar 1, E. Trizac 2 Physical Review E 87 (2013) 022201 We study the dynamics of a granular gas heated by the stochastic thermostat. From a Boltzmann description, we derive the hydrodynamic equations for small perturbations around the stationary state that is reached in the long time limit. Transport coefficients are identified as Green-Kubo

Satya N. Majumdar 1, Gregory Schehr 1, Dario Villamaina 1, Pierpaolo Vivo 1 Journal of Physics A: Mathematical and Theoretical 46 (2013) 022001 We compute analytically the probability density function (pdf) of the largest eigenvalue $\lambda_{\max}$ in rotationally invariant Cauchy ensembles of $N\times N$ matrices. We consider unitary ($\beta = 2$), orthogonal ($\beta =1$) and symplectic ($\beta=4$) ensembles of such heavy-tailed random matrices.

Y. Y. Atas 1, E. Bogomolny 1, O. Giraud 1, P. Vivo 1, E. Vivo 2 Journal of Physics A: Mathematical and Theoretical 46 (2013) 355204 We calculate analytically, for finite-size matrices, joint probability densities of ratios of level spacings in ensembles of random matrices characterized by their associated confining potential. We focus on the ratios of two spacings between three consecutive real eigenvalues, as

Jason Sakellariou 1 Université Paris Sud – Paris XI (22/02/2013), Marc Mézard (Dir.) Recent experimental techniques in biology made possible the acquisition of overwhelming amounts of data concerning complex biological networks, such as neural networks, gene regulation networks and protein-protein interaction networks. These techniques are able to record states of individual components of such networks (neurons, genes,