2005

Gunnar Moller 1, 2, Steven H. Simon 1 Physical Review B 72 (2005) 045344 The method of Jain and Kamilla [PRB {\\bf 55}, R4895 (1997)] allows numerical generation of composite fermion trial wavefunctions for large numbers of electrons in high magnetic fields at filling fractions of the form nu=p/(2mp+1) with m and p positive integers. In the current paper we […]

M. Mezard 1, T. Mora 1, R. Zecchina 2 Physical Review Letters 94 (2005) 197205 Using elementary rigorous methods we prove the existence of a clustered phase in the random $K$-SAT problem, for $K\\geq 8$. In this phase the solutions are grouped into clusters which are far away from each other. The results are in agreement with previous predictions of the

Jaebeom Yoo 1, Shailesh Chandrasekharan 1, Ribhu K. Kaul 1, Denis Ullmo 1, 2, Harold U. Baranger 1 Physical Review B 71 (2005) 201309 Nanoscale physics and dynamical mean field theory have both generated increased interest in complex quantum impurity problems and so have focused attention on the need for flexible quantum impurity solvers. Here we demonstrate that the mapping of single quantum impurity problems onto

Xiaoming Mao 1, Paul M. Goldbart 1, Marc Mezard 2, Martin Weigt 3 Physical Review Letters 95 (2005) 148302 The cavity approach is used to address the physical properties of random solids in equilibrium. Particular attention is paid to the fraction of localized particles and the distribution of localization lengths characterizing their thermal motion. This approach is of relevance to a wide class

Satya N. Majumdar 1 Current Science 89 (2005) 2076 This is a brief review on Brownian functionals in one dimension and their various applications, a contribution to the special issue « The Legacy of Albert Einstein’ of Current Science. After a brief description of Einstein’s original derivation of the diffusion equation, this article provides a pedagogical introduction to

Trizac, E. Journal of Physics A 38 (2005) 10257-10258

P. Di Francesco 1, Paul Zinn-Justin 2 Electronic Journal of Combinatories 12 (2005) R6 We prove that the sum of entries of the suitably normalized groundstate vector of the O(1) loop model with periodic boundary conditions on a periodic strip of size 2n is equal to the total number of n x n alternating sign matrices. This is done

Satya N. Majumdar 1, Alain Comtet 1, 2 Journal of Statistical Physics 119 (2005) 777-826 The Airy distribution function describes the probability distribution of the area under a Brownian excursion over a unit interval. Surprisingly, this function has appeared in a number of seemingly unrelated problems, mostly in computer science and graph theory. In this paper, we show that this

Sitnikov, G.V., Nechaev, S.K., Taran, M.D. Journal of Experimental and Theoretical Physics 101 no 5 (2005) 962-977