16,153 research outputs found

    Disordered two-dimensional superconductors: roles of temperature and interaction strength

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    We have considered the half-filled disordered attractive Hubbard model on a square lattice, in which the on-site attraction is switched off on a fraction ff of sites, while keeping a finite UU on the remaining ones. Through Quantum Monte Carlo (QMC) simulations for several values of ff and UU, and for system sizes ranging from 8×88\times 8 to 16×1616\times 16, we have calculated the configurational averages of the equal-time pair structure factor PsP_s, and, for a more restricted set of variables, the helicity modulus, ρs\rho_s, as functions of temperature. Two finite-size scaling {\it ansatze} for PsP_s have been used, one for zero-temperature and the other for finite temperatures. We have found that the system sustains superconductivity in the ground state up to a critical impurity concentration, fcf_c, which increases with UU, at least up to U=4 (in units of the hopping energy). Also, the normalized zero-temperature gap as a function of ff shows a maximum near f0.07f\sim 0.07, for 2U62\lesssim U\lesssim 6. Analyses of the helicity modulus and of the pair structure factor led to the determination of the critical temperature as a function of ff, for U=3,U=3, 4 and 6: they also show maxima near f0.07f\sim 0.07, with the highest TcT_c increasing with UU in this range. We argue that, overall, the observed behavior results from both the breakdown of CDW-superconductivity degeneracy and the fact that free sites tend to "push" electrons towards attractive sites, the latter effect being more drastic at weak couplings.Comment: 9 two-column pages, 14 figures, RevTe

    Impurities near an Antiferromagnetic-Singlet Quantum Critical Point

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    Heavy fermion systems, and other strongly correlated electron materials, often exhibit a competition between antiferromagnetic (AF) and singlet ground states. Using exact Quantum Monte Carlo (QMC) simulations, we examine the effect of impurities in the vicinity of such AF- singlet quantum critical points, through an appropriately defined impurity susceptibility, χimp\chi_{imp}. Our key finding is a connection, within a single calculational framework, between AF domains induced on the singlet side of the transition, and the behavior of the nuclear magnetic resonance (NMR) relaxation rate 1/T11/T_1. We show that local NMR measurements provide a diagnostic for the location of the QCP which agrees remarkably well with the vanishing of the AF order parameter and large values of χimp\chi_{imp}. We connect our results with experiments on Cd-doped CeCoIn5_5

    Immunization and Aging: a Learning Process in the Immune Network

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    The immune system can be thought as a complex network of different interacting elements. A cellular automaton, defined in shape-space, was recently shown to exhibit self-regulation and complex behavior and is, therefore, a good candidate to model the immune system. Using this model to simulate a real immune system we find good agreement with recent experiments on mice. The model exhibits the experimentally observed refractory behavior of the immune system under multiple antigen presentations as well as loss of its plasticity caused by aging.Comment: 4 latex pages, 3 postscript figures attached. To be published in Physical Review Letters (Tentatively scheduled for 5th Oct. issue
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