283,617 research outputs found
On quantum vertex algebras and their modules
We give a survey on the developments in a certain theory of quantum vertex
algebras, including a conceptual construction of quantum vertex algebras and
their modules and a connection of double Yangians and Zamolodchikov-Faddeev
algebras with quantum vertex algebras.Comment: 18 pages; contribution to the proceedings of the conference in honor
of Professor Geoffrey Maso
Theory of 2D transport in graphene for correlated disorder
We theoretically revisit graphene transport properties as a function of
carrier density, taking into account possible correlations in the spatial
distribution of the Coulomb impurity disorder in the environment. We find that
the charged impurity correlations give rise to a density dependent graphene
conductivity, which agrees well qualitatively with the existing experimental
data. We also find, quite unexpectedly, that the conductivity could increase
with increasing impurity density if there is sufficient inter-impurity
correlation present in the system. In particular, the linearity (sublinearity)
of graphene conductivity at lower (higher) gate voltage is naturally explained
as arising solely from impurity correlation effects in the Coulomb disorder.Comment: 5 pages, 3 figure
Temperature dependence of thermal conductivity in 1D nonlinear lattices
We examine the temperature dependence of thermal conductivity of one
dimensional nonlinear (anharmonic) lattices with and without on-site potential.
It is found from computer simulation that the heat conductivity depends on
temperature via the strength of nonlinearity. Based on this correlation, we
make a conjecture in the effective phonon theory that the mean-free-path of the
effective phonon is inversely proportional to the strength of nonlinearity. We
demonstrate analytically and numerically that the temperature behavior of the
heat conductivity is not universal for 1D harmonic lattices
with a small nonlinear perturbation. The computer simulations of temperature
dependence of heat conductivity in general 1D nonlinear lattices are in good
agreements with our theoretic predictions. Possible experimental test is
discussed.Comment: 6 pages and 2 figures. Accepted for publication in Europhys. Let
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