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A Transfer Matrix for the Backbone Exponent of Two-Dimensional Percolation

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Journal of Physics A 35 (2002) 2131-2144 Rephrasing the backbone of two-dimensional percolation as a monochromatic path crossing problem, we investigate the latter by a transfer matrix approach. Conformal invariance links the backbone dimension D_b to the highest eigenvalue of the transfer matrix T, and we obtain the result D_b=1.6431 \pm 0.0006. For […]

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A Transfer Matrix approach to the Enumeration of Knots

Jesper-Lykke Jacobsen 1, Paul Zinn-Justin 1 Journal of Knot and its Theoretical Ramifications 11 (2002) 739-758 We propose a new method to enumerate alternating knots using a transfer matrix approach. We apply it to count numerically various objects, including prime alternating tangles with two connected components, up to order 18–22, and comment on the large-order behavior in connection with

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A theory of the subgap photoemission in one – dimensional electron – phonon systems. An instanton approach to pseudogaps

Serguei Matveenko 1, Serguei Brazovskii 2 Physical Review B 65 (2002) 245108 For a one-dimensional electron-phonon system we consider the photon absorption involving electronic excitations within the pseudogap energy range. Within the adiabatic approximation for the electron – phonon interactions these processes are described by nonlinear configurations of an instanton type. We calculate intensities of the photoelectron spectroscopy PES

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Effect of Microscopic Noise on Front Propagation – Archive ouverte HAL

Éric BrunetBernard Derrida 1, 2 Éric Brunet, Bernard Derrida. Effect of Microscopic Noise on Front Propagation. Journal of Statistical Physics, Springer Verlag, 2001, 103 (1-2), pp.269-282. ⟨10.1023/A:1004875804376⟩. ⟨hal-03282975⟩ We study the effect of the noise due to microscopic fluctuations on the position of a one dimensional front propagating from a stable to an unstable region

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Zero-temperature responses of a 3D spin glass in a magnetic field

Florent Krzakala 1, Jérôme Houdayer 2, Enzo Marinari 3, Olivier C. Martin 1, Giorgio Parisi 3 Physical Review Letters 87 (2001) 197204 We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously large on the lattice sizes we can reach. Our data suggest that a

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X-Ray Scattering Evidence for Macroscopic Strong Pinning Centers in the Sliding CDW state of NbSe_3

D. Rideau 1, 2, Pierre Monceau 1, Roland Currat 2, Herwig Requardt 3, 4, F. Ya Nad 1, 5, J. Lorenzo 2, 4, Serguei Brazovskii 6, C. Detlefs 4, G. Gruebel 4 Europhysics Letters (EPL) 56 (2001) 289-295 Using high-resolution X-ray scattering techniques, we measure the variation, q(x), of the position in reciprocal space of the CDW satellite, in the sliding state, along the length of NbSe_3 whiskers. We show that structural defects and intentionally X-ray radiation-damaged regions

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Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice

John Cardy 1, Jesper-Lykke Jacobsen 2, Alan D. Sokal 3 Journal of Statistical Physics 105 (2001) 25-47 At zero temperature, the 3-state antiferromagnetic Potts model on a square lattice maps exactly onto a point of the 6-vertex model whose long-distance behavior is equivalent to that of a free scalar boson. We point out that at nonzero temperature there are two distinct types

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Topological relaxation of entangled flux lattices: Single vs collective line dynamics

Ruslan Bikbov 1, Sergei K. Nechaev 1, 2 Physical Review Letters 87 (2001) 150602 A symbolic language allowing to solve statistical problems for the systems with nonabelian braid-like topology in 2+1 dimensions is developed. The approach is based on the similarity between growing braid and ‘heap of colored pieces’. As an application, the problem of a vortex glass transition in high-T_c

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