publications

Conformal Geometry and Invariants of 3-strand Brownian Braids

Sergei K. Nechaev 1, Raphael Voituriez 2 Nuclear Physics B 714 (2005) 336-356 We propose a simple geometrical construction of topological invariants of 3-strand Brownian braids viewed as world lines of 3 particles performing independent Brownian motions in the complex plane z. Our construction is based on the properties of conformal maps of doubly-punctured plane z to the universal covering […]

Conformal Geometry and Invariants of 3-strand Brownian Braids Lire la suite »

Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study

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

Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study Lire la suite »

Clustering of solutions in the random satisfiability problem

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

Clustering of solutions in the random satisfiability problem Lire la suite »

Cluster Algorithms for Quantum Impurity Models and Mesoscopic Kondo Physics

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

Cluster Algorithms for Quantum Impurity Models and Mesoscopic Kondo Physics Lire la suite »

Cavity Approach to the Random Solid State

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

Cavity Approach to the Random Solid State Lire la suite »

Brownian Functionals in Physics and Computer Science

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

Brownian Functionals in Physics and Computer Science Lire la suite »

Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule

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

Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule Lire la suite »

Retour en haut