Networks of Josephson junctions and their synchronization

One can demonstrate that a 1-D Josephson network containing junctions with different resistances can be synchronized at frequencies, which are multiples of 2eV, where V is the total d.c. voltage applied across the network. The appearance of such synchronization follows from the law of charge conservation and takes place if charge transfer is dominated by the Josephson channel. One can observe also a sub-harmonic structure. The result holds for cluster-based arrays as well as for general case of a tunneling network.Comment: 13 page

Generalized Poisson integral and sharp estimates for harmonic and biharmonic functions in the half-space

A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized Poisson integral of a function $f$ on ${\mathbb R}^{n-1}$ is obtained under the assumption that $f$ belongs to $L^p$. It is assumed that the kernel of the integral depends on the parameters $\alpha$ and $\beta$. The explicit formulas for the sharp coefficients are found for the cases $p=1$, $p=2$ and for some values of $\alpha , \beta$ in the case $p=\infty$. Conditions ensuring the validity of some analogues of the Khavinson's conjecture for the generalized Poisson integral are obtained. The sharp estimates are applied to harmonic and biharmonic functions in the half-space.Comment: 24 pages. arXiv admin note: text overlap with arXiv:1703.0633

Intercalation and High Temperature Superconductivity of Fullerides

Intercalation of polyatomic molecules into a superconductor can drastically affect the properties of the compound. A mechanism leading to a large increase in Tc for such systems is proposed. It explains the recent remarkable observation of high Tc superconductivity in the hole-doped C60/CHX3 (X=Cl,Br) compounds and the large shift in their Tc upon Cl->Br substitution. The increase in Tc is due to contribution to the pairing arising from the interaction of electrons with the vibrational manifold of the molecule. The proposed mechanism opens up the possibility to observe a site-selective isotope effect. We also suggest that intercalating CHI3 would further increase the critical temperature to Tc=140K.Comment: Final expanded version of cond-mat/0109553 and cond-mat/0110327 with Journal referenc