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Serguei Brazovskii 1 EDP Sciences 1 (2001) 315 Topologically nontrivial states, the solitons, emerge as elementary excitations in 1D electronic systems. In a quasi 1D material the topological requirements originate the spin- or charge- roton like excitations with charge- or spin- kinks localized in the core. They result from the spin-charge recombination due to confinement and the […]

Sergei K. Nechaev 1, 2, Oleg A. Vasilyev 2 JETP Letters 93 (2001) 1119-1136 The statistical properties of random lattice knots, the topology of which is determined by the algebraic topological Jones-Kauffman invariants was studied by analytical and numerical methods. The Kauffman polynomial invariant of a random knot diagram was represented by a partition function of the Potts model with a random

Patricio Leboeuf 1, Alejandro Monastra 1, Oriol Bohigas 1 Regular and Chaotic Dynamics 6 (2001) 205-210 The properties of a fictitious, fermionic, many-body system based on the complex zeros of the Riemann zeta function are studied. The imaginary part of the zeros are interpreted as mean-field single-particle energies, and one fills them up to a Fermi energy $E_F$. The distribution of

Pierre Monceau 1, F. Ya Nad 1, 2, Serguei Brazovskii 3, 4 Physical Review Letters 86 (2001) 4080-4083 We present experimental evidences for a ferro-electric transition in the family of quasi one- dimensional conductors (TMTTF)2X. We interpret this new transition in the frame of the combined Mott-Hubbard state taking into account the double action of the spontaneous charge disproportionation on the TMTTF molecular stacks

Victor Martin-Mayor 1, Marc Mézard 2, Giorgio Parisi 3, Paolo Verrocchio 4 Journal of Chemical Physics 114 (2001) 8068-8081 A computation of the dynamical structure factor of topologically disordered systems, where the disorder can be described in terms of euclidean random matrices, is presented. Among others, structural glasses and supercooled liquids belong to that class of systems. The computation describes their relevant spectral

Marc Mézard 1, Giorgio Parisi 2 European Physical Journal B 20 (2001) 217-240 So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution have been confined to

Leboeuf, P., Monastra, A. Proceedings of the XXXVIth Moriond Conference ‘Electronic correlations; from Meso- to Nano-Physics’C. Glattli, T. Martin, and J. Trân Thanh Vân (2001)

Sofian Teber 1, Branko P. Stojkovic 2, Serguei Brazovskii 1, A. R. Bishop 2 Journal of Physics: Condensed Matter 13 (2001) 4015-4031 The 2-fold degeneracy of the ground state of a quasi-one-dimensional system allows it to support topological excitations such as solitons. We study the combined effects of Coulomb interactions and confinement due to interchain coupling on the statistics of such defects. We concentrate on

Olivier C. Martin 1, Rémi Monasson 2, Riccardo Zecchina 3 Theoretical Computer Science 265 (2001) 3-67 Recently, it has been recognized that phase transitions play an important role in the probabilistic analysis of combinatorial optimization problems. However, there are in fact many other relations that lead to close ties between computer science and statistical physics. This review aims at presenting the tools

Gregory Berkolaiko 1, Eugene Bogomolny 2, J.P. Keating 3, 4 Journal of Physics A 34 (2001) 335-350 We derive an exact expression for the two-point correlation function for quantum star graphs in the limit as the number of bonds tends to infinity. This turns out to be identical to the corresponding result for certain Seba billiards in the semiclassical limit. Reasons for