9 research outputs found
Anomalous Scaling in the N-Point Functions of Passive Scalar
A recent analysis of the 4-point correlation function of the passive scalar
advected by a time-decorrelated random flow is extended to the N-point case. It
is shown that all stationary-state inertial-range correlations are dominated by
homogeneous zero modes of singular operators describing their evolution. We
compute analytically the zero modes governing the N-point structure functions
and the anomalous dimensions corresponding to them to the linear order in the
scaling exponent of the 2-point function of the advecting velocity field. The
implications of these calculations for the dissipation correlations are
discussed.Comment: 16 pages, latex fil
Quantum skyrmions and the destruction of long-range antiferromagnetic order in the high-Tc superconductors La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(6+x)
We study the destruction of the antiferromagnetic order in the high-Tc
superconductors La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(6+x) in the framework of
the CP1-nonlinear sigma model formulation of the 2D quantum Heisenberg
antiferromagnet. The dopants are introduced as independent fermions with
appropriate dispersion relations determined by the shape of the Fermi surface.
The energy of skyrmion topological defects, which are shown to be introduced by
doping, is used as an order parameter for antiferromagnetic order. We obtain
analytic expressions for this as a function of doping which allow us to plot
the curves T_N(x_c)\times x_c and M(x)\times x, for both YBCO and LSCO, in good
quantitative agreement with the experimental data.Comment: 4 pages, revtex, 5 embeeded figure
Cluster diagonalization in systematically expanded Hilbert spaces: application to models of correlated electrons
A method of cluster diagonalization in a systematically expanded Hilbert
space is described. We discuss some applications of this procedure to models of
high-T_c superconductors, like the t - J and one and three bands Hubbard models
in two dimensions. The results obtained with this method are compared against
results obtained with other techniques dealing with truncated Hilbert spaces.
The relation between this method of diagonalization in a reduced Hilbert space,
and perturbation theory and variational techniques is also discussed.Comment: 26 pages + 12 figures, available upon request, LATEX, preprint
ORNL/CCIP/93/
Charge pairing, superconducting transition and supersymmetry in high-temperature cuprate superconductors
We propose a model for high-T superconductors, valid for
, that includes both the spin fluctuations of the
Cu magnetic ions and of the O doped holes. Spin-charge separation
is taken into account with the charge of the doped holes being associated to
quantum skyrmion excitations (holons) of the Cu spin background. The
holon effective interaction potential is evaluated as a function of doping,
indicating that Cooper pair formation is determined by the competition between
the spin fluctuations of the Cu background and of spins of the O
doped holes (spinons). The superconducting transition occurs when the spinon
fluctuations dominate, thereby reversing the sign of the interaction. At this
point (), the theory is supersymmetric at short distances
and, as a consequence, the leading order results are not modified by radiative
corrections. The critical doping parameter for the onset of superconductivity
at T=0 is obtained and found to be a universal constant determined by the shape
of the Fermi surface. Our theoretical values for are in good
agreement with the experiment for both LSCO and YBCO.Comment: RevTex, 4 pages, no figure