publications

Estienne, B., Bernevig, A., Santachiara, R. Physical Review B82 (2010) 205307

Christophe Texier 1, 2, Christian Hagendorf 3 Journal of Physics A General Physics 43 (2010) 025002 The average density of states (DoS) of the one-dimensional Dirac Hamiltonian with a random mass on a finite interval [0,L] is derived. Our method relies on the eigenvalues distributions (extreme value statistics problem) which are explicitly obtained. The well-known Dyson singularity \sim-L/|epsilon|ln^3|\epsilon| is recovered

Kang, W., Salameh, B., Auban Senzier, P., Jerome, D., Pasquier, C.R., Brazovskii, S. Physical Review B81 (2010) 100509

Z. Burda 1, A. Krzywicki 2, O. C. Martin 3, 4, M. Zagorski 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82 (2010) 011908 Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. They also tend to have broad distributions for the out-degree. What mechanisms might be responsible for these

Lev Ioffe 1, Marc Mezard 2 Physical Review Letters 105 (2010) 037001 We develop an analytical theory, based on the quantum cavity method, describing the quantum phase transitions in low-temperature, strongly disordered ferromagnets and superconductors. At variance with the usual quantum critical points, we find a phase diagram with two critical points separating three phases. When the disorder increases,

Trizac, E., El Shawish, S., Dobnikar, J. Anais da Academia Brasileira de Ciencias82 (2010) 87-94

O. Bohigas 1, M. P. Pato 1, 2 Journal of Physics A Mathematical and Theoretical 43 (2010) 365001 The eigenvalue densities of two random matrix ensembles, the Wigner Gaussian matrices and the Wishart covariant matrices, are decomposed in the contributions of each individual eigenvalue distribution. It is shown that the fluctuations of all eigenvalues, for medium matrix sizes, are described

Picco, M., Santachiara, R. Journal of Statistical Mechanics(2010) P07027

E. Brézin 1, S. Franz 2, G. Parisi 3, 4 Physical Review B 82 (2010) 144427 We consider identical copies of spin glasses in finite dimension coupled at the boundaries. This allows to identify the spin glass analogous of twisted boundary conditions in ferromagnetic system and leads to the definition of an interface free-energy that is positively defined and that should scale

Sahand Jamal Rahi 1, Mehran Kardar 1, Thorsten Emig 2, 3 Physical Review Letters 105 (2010) 070404 We examine whether fluctuation-induced forces can lead to stable levitation. First, we analyze a collection of classical objects at finite temperature that contain fixed and mobile charges, and show that any arrangement in space is unstable to small perturbations in position. This extends Earnshaw’s theorem