publications

Non-Abelian Chern-Simons Particles in an External Magnetic Field

Serguei B. Isakov 1, Gustavo S. Lozano 1, Stephane Ouvry 1 Nuclear Physics B 552 (1999) 677 The quantum mechanics and thermodynamics of SU(2) non-Abelian Chern-Simons particles (non-Abelian anyons) in an external magnetic field are addressed. We derive the N-body Hamiltonian in the (anti-)holomorphic gauge when the Hilbert space is projected onto the lowest Landau level of the magnetic field. In the […]

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Nishimori point in random-bond Ising and Potts models in 2D

Andreas Honecker 1, Jesper-Lykke Jacobsen 2, Marco Picco 3, Pierre Pujol 4 We study the universality class of the fixed points of the 2D random bond q-state Potts model by means of numerical transfer matrix methods. In particular, we determine the critical exponents associated with the fixed point on the Nishimori line. Precise measurements show that the universality class of this fixed point

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Hall Conductivity in the presence of repulsive magnetic impurities

Jean Desbois 1, Stephane Ouvry 1, Christophe Texier 1 European Physical Journal B 7 (1999) 527-528 The Hall conductivity of disordered magnetic systems consisting of hard-core point vortices randomly dropped on the plane with a Poissonian distribution, has a behavior analogous to the one observed experimentally by R.~J.~Haug, R.~R.~Gerhardts, K.~v.~Klitzling and K.~Ploog, with repulsive scatterers \\cite {1}. We also argue that

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Experimental vs. Numerical Eigenvalues of a Bunimovich Stadium Billiard — A Comparison

H. Alt 1, C. Dembowski 1, H. -D. Graef 1, R. Hofferbert 1, H. Rehfeld 1, A. Richter 1, 2, C. Schmit 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 60 (1999) 2851-2857 We compare the statistical properties of eigenvalue sequences for a gamma=1 Bunimovich stadium billiard. The eigenvalues have been obtained by two ways: one set results from a measurement of the eigenfrequencies of a superconducting microwave

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Determinant Formulae for some Tiling Problems and Application to Fully Packed Loops

P. Di Francesco 1, Paul Zinn-Justin 2, J. -B. Zuber 2 We present determinant formulae for the number of tilings of various domains in relation with Alternating Sign Matrix and Fully Packed Loop enumeration. 1. Service de Physique Théorique (SPhT), CNRS : URA2306 – CEA : DSM/SPHT 2. Laboratoire de Physique Théorique et Hautes Energies (LPTHE), CNRS : UMR7589 – Université Paris VI – Pierre

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Cut Size Statistics of Graph Bisection Heuristics

G. R. Schreiber, O. C. Martin 1 SIAM Journal on Optimization 10 (1999) 231-251 We investigate the statistical properties of cut sizes generated by heuristic algorithms which solve approximately the graph bisection problem. On an ensemble of sparse random graphs, we find empirically that the distribution of the cut sizes found by « local\’\’ algorithms becomes peaked as the

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