587,323 research outputs found
A new integrable two parameter model of strongly correlated electrons in one dimension
A new one-dimensional fermion model depending on two independent interaction
parameters is formulated and solved exactly by the Bethe ansatz method. The
Hamiltonian of the model contains the Hubbard interaction and correlated
hopping as well as pair hopping terms. The density-density and pair
correlations are calculated which manifest superconducting properties in
certain regimes of the phase diagram.Comment: 8 pages, latex, 2 postscript figure
Interpolation between Hubbard and supersymmetric t-J models. Two-parameter integrable models of correlated electrons
Two new one-dimensional fermionic models depending on two independent
parameters are formulated and solved exactly by the Bethe-ansatz method. These
models connect continuously the integrable Hubbard and supersymmetric t-J
models.Comment: 11pages and no figure
Monomial Testing and Applications
In this paper, we devise two algorithms for the problem of testing
-monomials of degree in any multivariate polynomial represented by a
circuit, regardless of the primality of . One is an time
randomized algorithm. The other is an time deterministic
algorithm for the same -monomial testing problem but requiring the
polynomials to be represented by tree-like circuits. Several applications of
-monomial testing are also given, including a deterministic
upper bound for the -set -packing problem.Comment: 17 pages, 4 figures, submitted FAW-AAIM 2013. arXiv admin note:
substantial text overlap with arXiv:1302.5898; and text overlap with
arXiv:1007.2675, arXiv:1007.2678, arXiv:1007.2673 by other author
Integrable model of interacting XX and Fateev-Zamolodchikov chains
We consider the exact solution of a model of correlated particles, which is
presented as a system of interacting XX and Fateev-Zamolodchikov chains. This
model can also be considered as a generalization of the multiband anisotropic
model in the case we restrict the site occupations to at most two
electrons. The exact solution is obtained for the eigenvalues and eigenvectors
using the Bethe-ansatz method.Comment: 10 pages, no figure
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