1,928 research outputs found
One class of linear Fredholm integral equations with functionals and parameters
The theory of linear Fredholm integral-functional equations of the second
kind with linear functionals and with a parameter is considered. The necessary
and sufficient conditions are obtained for the coefficients of the equation and
those parameter values, in the nighbohood of which the equation has solutions.
The leading terms of the asymptotics of the solutions are constructed. The
constructive method is proposed for constructing a solution both in the regular
case and in the irregular one. In the regular case, the solution is constructed
as a Taylor series in powers of the parameter. In the irregular case, the
solution is constructed as a Laurent series in powers of the parameter.
Constructive theory and method is demonstrated on the model example
Theoretical and experimental study of high-pressure synthesized B20-type compounds Mn(Co,Rh)Ge
The search and exploration of new materials not found in nature is one of
modern trends in pure and applied chemistry. In the present work, we report on
experimental and \textit{ab initio} density-functional study of the
high-pressure-synthesized series of compounds Mn(Co,Rh)Ge. These
high-pressure phases remain metastable at normal conditions, therewith they
preserve their inherent noncentrosymmetric B20-type structure and chiral
magnetism. Of particular interest in these two isovalent systems is the
comparative analysis of the effect of (Co) and (Rh) substitution for
Mn, since the orbitals are characterized by higher localization and
electron interaction than the orbitals. The behavior of
Mn(Co,Rh)Ge systems is traced as the concentration changes in the
range . We applied a sensitive experimental and theoretical
technique which allowed to refine the shape of the temperature dependencies of
magnetic susceptibility and thereby provide a new and detailed
magnetic phase diagram of MnCoGe. It is shown that both systems
exhibit a helical magnetic ordering that very strongly depends on the
composition . However, the phase diagram of MnCoGe differs from
that of MnRhGe in that it is characterized by coexistence of two
helices in particular regions of concentrations and temperatures.Comment: 12 pages, 11 figure
Possibility of local pair existence in optimally doped SmFeAsO(1-x) in pseudogap regime
We report the analysis of pseudogap Delta* derived from resistivity
experiments in FeAs-based superconductor SmFeAsO(0.85), having a critical
temperature T_c = 55 K. Rather specific dependence Delta*(T) with two
representative temperatures followed by a minimum at about 120 K was observed.
Below T_s = 147 K, corresponding to the structural transition in SmFeAsO,
Delta*(T) decreases linearly down to the temperature T_AFM = 133 K. This last
peculiarity can likely be attributed to the antiferromagnetic (AFM) ordering of
Fe spins. It is believed that the found behavior can be explained in terms of
Machida, Nokura, and Matsubara (MNM) theory developed for the AFM
superconductors.Comment: 5 pages, 2 figure
Strong-Coupling Superconductivity of CeIrSi with the Non-centrosymmetric Crystal Structure
We studied the pressure-induced superconductor CeIrSi with the
non-centrosymmetric tetragonal structure under high pressure. The electrical
resistivity and ac heat capacity were measured in the same run for the same
sample. The critical pressure was determined to be = 2.25 GPa,
where the antiferromagnetic state disappears. The heat capacity
shows both antiferromagnetic and superconducting transitions at pressures close
to . On the other hand, the superconducting region is extended to
high pressures of up to about 3.5 GPa, with the maximum transition temperature
= 1.6 K around GPa. At 2.58 GPa, a large heat capacity
anomaly was observed at = 1.59 K. The jump of the heat capacity in
the form of is 5.7 0.1.
This is the largest observed value among previously reported superconductors,
indicating the strong-coupling superconductivity. The electronic specific heat
coefficient at is, however, approximately unchanged as a function
of pressure, even at .Comment: This paper will be published in J. Phys. Soc. Jpn. on the August
issue of 200
High pressure investigation of the heavy-fermion antiferromagnet U_3Ni_5Al_19
Measurements of magnetic susceptibility, specific heat, and electrical
resistivity at applied pressures up to 55 kbar have been carried out on single
crystals of the heavy-fermion antiferromagnet U_3Ni_5Al_19, which crystallizes
in the Gd_3Ni_5Al_19 orthorhombic structure with two inequivalent U sites. At
ambient pressure, a logarithmic T-dependence of the specific heat and T-linear
electrical resistivity below 5 K indicates non-Fermi liquid (NFL) behavior in
the presence of bulk antiferromagnetic order at T_N=23 K. Electrical
resistivity measurements reveal a crossover from non-Fermi liquid to Fermi
liquid behavior at intermediate pressures between 46 kbar and 51 kbar, followed
by a return to NFL T^{3/2} behavior at higher pressures. These results provide
evidence for an ambient pressure quantum critical point and an additional
antiferromagnetic instability at P_c=60 kbar.Comment: 12 pages, 5 figure
Some properties of WKB series
We investigate some properties of the WKB series for arbitrary analytic
potentials and then specifically for potentials ( even), where more
explicit formulae for the WKB terms are derived. Our main new results are: (i)
We find the explicit functional form for the general WKB terms ,
where one has only to solve a general recursion relation for the rational
coefficients. (ii) We give a systematic algorithm for a dramatic simplification
of the integrated WKB terms that enter the energy
eigenvalue equation. (iii) We derive almost explicit formulae for the WKB terms
for the energy eigenvalues of the homogeneous power law potentials , where is even. In particular, we obtain effective algorithms to
compute and reduce the terms of these series.Comment: 18 pages, submitted to Journal of Physics A: Mathematical and Genera
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