2,249 research outputs found
Influence of the structural modulations and the Chain-ladder interaction in the compounds
We studied the effects of the incommensurate structural modulations on the
ladder subsystem of the family of compounds
using ab-initio explicitly-correlated calculations. From these calculations we
derived model as a function of the fourth crystallographic coordinate
describing the incommensurate modulations. It was found that in the
highly calcium-doped system, the on-site orbital energies are strongly
modulated along the ladder legs. On the contrary the two sites of the ladder
rungs are iso-energetic and the holes are thus expected to be delocalized on
the rungs. Chain-ladder interactions were also evaluated and found to be very
negligible. The ladder superconductivity model for these systems is discussed
in the light of the present results.Comment: 8 octobre 200
Jordanian Quantum Algebra via Contraction Method and Mapping
Using the contraction procedure introduced by us in Ref. \cite{ACC2}, we
construct, in the first part of the present letter, the Jordanian quantum Hopf
algebra which has a remarkably simple coalgebraic
structure and contains the Jordanian Hopf algebra ,
obtained by Ohn, as a subalgebra. A nonlinear map between and the classical algebra is then established. In the second
part, we give the higher dimensional Jordanian algebras for all . The Universal -matrix of is also given.Comment: 17 pages, Late
Regularly alternating spin-1/2 anisotropic XY chains: The ground-state and thermodynamic properties
Using the Jordan-Wigner transformation and continued fractions we calculate
rigorously the thermodynamic quantities for the spin-1/2 transverse Ising chain
with periodically varying intersite interactions and/or on-site fields. We
consider in detail the properties of the chains having a period of the
transverse field modulation equal to 3. The regularly alternating transverse
Ising chain exhibits several quantum phase transition points, where the number
of transition points for a given period of alternation strongly depends on the
specific set of the Hamiltonian parameters. The critical behavior in most cases
is the same as for the uniform chain. However, for certain sets of the
Hamiltonian parameters the critical behavior may be changed and weak
singularities in the ground-state quantities appear. Due to the regular
alternation of the Hamiltonian parameters the transverse Ising chain may
exhibit plateau-like steps in the zero-temperature dependence of the transverse
magnetization vs. transverse field and many-peak temperature profiles of the
specific heat. We compare the ground-state properties of regularly alternating
transverse Ising and transverse XX chains and of regularly alternating quantum
and classical chains.
Making use of the corresponding unitary transformations we extend the
elaborated approach to the study of thermodynamics of regularly alternating
spin-1/2 anisotropic XY chains without field. We use the exact expression for
the ground-state energy of such a chain of period 2 to discuss how the exchange
interaction anisotropy destroys the spin-Peierls dimerized phase
Duality for Exotic Bialgebras
In the classification of Hietarinta, three triangular
-matrices lead, via the FRT formalism, to matrix bialgebras which are not
deformations of the trivial one. In this paper, we find the bialgebras which
are in duality with these three exotic matrix bialgebras. We note that the
duality of FRT is not sufficient for the construction of the bialgebras
in duality. We find also the quantum planes corresponding to these bialgebras
both by the Wess-Zumino R-matrix method and by Manin's method.Comment: 25 pages, LaTeX2e, using packages: cite, amsfonts, amsmath, subeq
Formation of plasma around a small meteoroid: 1. Kinetic theory
This article is a companion to Dimant and Oppenheim [2017] https://doi.org/10.1002/2017JA023963.This paper calculates the spatial distribution of the plasma responsible for radar head echoes by applying the kinetic theory developed in the companion paper. This results in a set of analytic expressions for the plasma density as a function of distance from the meteoroid. It shows that at distances less than a collisional mean free path from the meteoroid surface, the plasma density drops in proportion to 1/R where R is the distance from the meteoroid center; and, at distances much longer than the meanâfreeâpath behind the meteoroid, the density diminishes at a rate proportional to 1/R2. The results of this paper should be used for modeling and analysis of radar head echoes.This work was supported by NSF grant AGS-1244842. (AGS-1244842 - NSF
The -boson-fermion realizations of quantum suprealgebra
We show that our construction of realizations for Lie algebras and quantum
algebras can be generalized to quantum superalgebras, too. We study an example
of quantum superalgebra and give the boson-fermion realization
with respect to one pair od q-deformed boson operator and 2 pairs of fermions.Comment: 8 page
Path Integral Approach to Strongly Nonlinear Composite
We study strongly nonlinear disordered media using a functional method. We
solve exactly the problem of a nonlinear impurity in a linear host and we
obtain a Bruggeman-like formula for the effective nonlinear susceptibility.
This formula reduces to the usual Bruggeman effective medium approximation in
the linear case and has the following features: (i) It reproduces the weak
contrast expansion to the second order and (ii) the effective medium exponent
near the percolation threshold are , , where is the
nonlinearity exponent. Finally, we give analytical expressions for previously
numerically calculated quantities.Comment: 4 pages, 1 figure, to appear in Phys. Rev.
Plastic localization phenomena in a Mn-alloyed austenitic steel
A 0.5 wt pct C, 22 wt pct Mn austenitic steel, recently proposed for fabricating automotive body structures by cold sheet forming, exhibits plastic localizations (PLs) during uniaxial tensile tests, yet showing a favorable overall strength and ductility. No localization happens during biaxial Erichsen cupping tests. Full-thickness tensile and Erichsen specimens, cut from as-produced steel sheets, were polished and tested at different strain rates. During the tensile tests, the PL phenomena consist first of macroscopic deformation bands traveling along the tensile axis, and then of a series of successive stationary deformation bands, each adjacent to the preceding ones; both types of bands involve the full specimen width and yield a macroscopically observable surface relief. No comparable surface relief was observed during the standard Erichsen tests. Because the stress state is known to influence PL phenomena, reduced-width Erichsen tests were performed on polished sheet specimens, in order to explore the transition from biaxial to uniaxial loading; surface relief lines were observed on a 20-mm-wide specimen, but not on wider ones
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