28,205 research outputs found
Geometric scaling in ultrahigh energy neutrinos and nonlinear perturbative QCD
It is shown that in ultrahigh energy inelastic neutrino-nucleon(nucleus)
scattering the cross sections for the boson-hadron(nucleus) reactions should
exhibit geometric scaling on the single variable tau_A =Q2/Q2_{sat,A}. The
dependence on energy and atomic number of the charged/neutral current cross
sections are encoded in the saturation momentum Q_{sat,A}. This fact allows an
analytical computation of the neutrino scattering on nucleon/nucleus at high
energies, providing a theoretical parameterization based on the scaling
property.Comment: 5 pages, 4 figure
Fractional vortices in the XY model with bonds
We define a new set of excitations in the XY model which we call ``fractional
vortices''. In the frustrated XY model containing bonds, we make the
ansatz that the ground state configurations can be characterized by pairs of
oppositely charged fractional vortices. For a chain of bonds, the ground
state energy and the phase configurations calculated on the basis of this
ansatz agree well with the results from direct numerical simulations. Finally,
we discuss the possible connection of these results to some recent experiments
by Kirtley {\it et al} [Phys. Rev. B {\bf 51}, R12057 (1995)] on high-T
superconductors where fractional flux trapping was observed along certain grain
boundaries.Comment: 13 pages, 14 figures included (.eps). No essential differences to
previous version, however more compact forma
Partial breakdown of quantum thermalization in a Hubbard-like model
We study the possible breakdown of quantum thermalization in a model of
itinerant electrons on a one-dimensional chain without disorder, with both spin
and charge degrees of freedom. The eigenstates of this model exhibit peculiar
properties in the entanglement entropy, the apparent scaling of which is
modified from a "volume law" to an "area law" after performing a partial,
site-wise measurement on the system. These properties and others suggest that
this model realizes a new, non-thermal phase of matter, known as a quantum
disentangled liquid (QDL). The putative existence of this phase has striking
implications for the foundations of quantum statistical mechanics.Comment: As accepted to PR
Maximum-Likelihood Comparisons of Tully-Fisher and Redshift Data: Constraints on Omega and Biasing
We compare Tully-Fisher (TF) data for 838 galaxies within cz=3000 km/sec from
the Mark III catalog to the peculiar velocity and density fields predicted from
the 1.2 Jy IRAS redshift survey. Our goal is to test the relation between the
galaxy density and velocity fields predicted by gravitational instability
theory and linear biasing, and thereby to estimate where is the linear bias parameter for IRAS galaxies.
Adopting the IRAS velocity and density fields as a prior model, we maximize the
likelihood of the raw TF observables, taking into account the full range of
selection effects and properly treating triple-valued zones in the
redshift-distance relation. Extensive tests with realistic simulated galaxy
catalogs demonstrate that the method produces unbiased estimates of
and its error. When we apply the method to the real data, we model the presence
of a small but significant velocity quadrupole residual (~3.3% of Hubble flow),
which we argue is due to density fluctuations incompletely sampled by IRAS. The
method then yields a maximum likelihood estimate
(1-sigma error). We discuss the constraints on and biasing that follow
if we assume a COBE-normalized CDM power spectrum. Our model also yields the
1-D noise noise in the velocity field, including IRAS prediction errors, which
we find to be be 125 +/- 20 km/sec.Comment: 53 pages, 20 encapsulated figures, two tables. Submitted to the
Astrophysical Journal. Also available at http://astro.stanford.edu/jeff
Cluster approach study of intersite electron correlations in pyrochlore and checkerboard lattices
To treat effects of electron correlations in geometrically frustrated
pyrochlore and checkerboard lattices, an extended single-orbital Hubbard model
with nearest neighbor hopping and Coulomb repulsion is
applied. Infinite on-site repulsion, , is assumed, thus double
occupancies of sites are forbidden completely in the present study. A
variational Gutzwiller type approach is extended to examine correlations due to
short-range interaction and a cluster approximation is developed to
evaluate a variational ground state energy of the system. Obtained analytically
in a special case of quarter band filling appropriate to LiVO, the
resulting simple expression describes the ground state energy in the regime of
intermediate and strong coupling . Like in the Brinkman-Rice theory based on
the standard Gutzwiller approach to the Hubbard model, the mean value of the
kinetic energy is shown to be reduced strongly as the coupling approaches a
critical value . This finding may contribute to explaining the observed
heavy fermion behavior in LiVO
Long period polytype boundaries in silicon carbide
A significant gap in our understanding of polytypism exists, caused partly by the lack of experimental data on the spatial distribution of polytype coalescence and knowledge of the regions between adjoining polytypes. Few observations, Takei & Francombe (1967) apart, of the relative location of different polytypes have been reported. A phenomenological description of the boundaries, exact position of one-dimensional disorder (1DD) and long period polytypes (LPP’s) has been made possible by synchrotron X-ray diffraction topography (XRDT)
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