publications

Locked constraint satisfaction problems

Lenka Zdeborová 1, Marc Mézard 1 Physical Review Letters 101 (2008) 078702 We introduce and study the random ‘locked’ constraint satisfaction problems. When increasing the density of constraints, they display a broad ‘clustered’ phase in which the space of solutions is divided into many isolated points. While the phase diagram can be found easily, these problems, in their clustered […]

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Localization for one-dimensional random potentials with large local fluctuations

Tom Bienaime 1, Christophe Texier 1 Journal of Physics A Mathematical and Theoretical 41 (2008) 475001 We study the localization of wave functions for one-dimensional Schrödinger Hamiltonians with random potentials $V(x)$ with short range correlations and large local fluctuations such that $\int\D{x} \smean{V(x)V(0)}=\infty$. A random supersymmetric Hamiltonian is also considered. Depending on how large the fluctuations of $V(x)$ are,

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Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnetic conductors

Revaz Ramazashvili 1, 2 Physical Review Letters 101 (2008) 137202 In this article, I study magnetic response of electron wavefunctions in a commensurate collinear antiferromagnet. I show that, at a special set of momenta, hidden anti-unitary symmetry protects Kramers degeneracy of Bloch eigenstates against a magnetic field, pointing transversely to staggered magnetization. Hence a substantial momentum dependence of

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Ising model with memory: coarsening and persistence properties

Fabio Caccioli 1, 2, Silvio Franz 3, Matteo Marsili 4 Journal of Statistical Mechanics: Theory and Experiment (2008) 07006 We consider the coarsening properties of a kinetic Ising model with a memory field. The probability of a spin-flip depends on the persistence time of the spin in a state. The more a spin has been in a given state, the less the

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Ground states of colloidal molecular crystals on periodic substrates

Samir El Shawish 1, Jure Dobnikar 1, Emmanuel Trizac 2 Soft Matter 4 (2008) 1491-1498 Two dimensional suspensions of spherical colloids subject to periodic external fields exhibit a rich variety of molecular crystalline phases. We study in simulations the ground state configurations of dimeric and trimeric systems, that are realized on square and triangular lattices, when either two or three macroions

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Geometrical dependence of decoherence by electronic interactions in a GaAs/GaAlAs square network

M. Ferrier 1, A. C. H. Rowe 1, S. Gueron 1, 2, H. Bouchiat 1, C. Texier 1, 3, G. Montambaux 1 Physical Review Letters 100 (2008) 146802 We investigate weak localization in metallic networks etched in a two dimensional electron gas between $25\:$mK and $750\:$mK when electron-electron (e-e) interaction is the dominant phase breaking mechanism. We show that, at the highest temperatures, the contributions arising from trajectories that

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Fluctuation induced quantum interactions between compact objects and a plane mirror

Thorsten Emig 1 Journal of Statistical Mechanics: Theory and Experiment (2008) P04007 The interaction of compact objects with an infinitely extended mirror plane due to quantum fluctuations of a scalar or electromagnetic field that scatters off the objects is studied. The mirror plane is assumed to obey either Dirichlet or Neumann boundary conditions or to be perfectly

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Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy

Michael. R. Peterson 1, Th. Jolicoeur 2, S. Das Sarma 3 Physical Review Letters 101 (2008) 016807 We find the finite-width, i.e., the layer thickness, of experimental quasi-two dimensional systems produces a physical environment sufficient to stabilize the Moore-Read Pfaffian state thought to describe the fractional quantum Hall effect at filling factor $\nu=5/2$. This conclusion is based on exact calculations performed

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Fermions out of Dipolar Bosons in the lowest Landau level

Brice Chung 1, Thierry Jolicoeur 1 Physical Review A: Atomic, Molecular and Optical Physics 77 (2008) 043608 In the limit of very fast rotation atomic Bose-Einstein condensates may reside entirely in the lowest two-dimensional Landau level (LLL). For small enough filling factor of the LLL, one may have formation of fractional quantum Hall states. We investigate the case of

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