Pair correlations and the survival of superconductivity in and around a superconducting impurity
Yonatan Dubi
DOI 10.1103/PhysRevB.75.094510 · Physical Review B
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
The problem of the survival of superconductivity in a small superconducting grain placed in a metal substrate is addressed. For this aim the pair correlations and superconducting gap around and inside a negative-U impurity in one and two dimensions are calculated in a discrete tight-binding model and a continuous model. Using a mean-field decomposition, it is shown that finite pairing in the grain develops when the system has a degeneracy between a successive number of electron pairs, and thus may oscillate as a function of the chemical potential. For finite pairing in the island, pair correlations in the normal part exhibit a crossover from being long ranged to exponentially decaying, depending on the strength of interaction in the grain. It is shown analytically that there is a minimal island size under which pairing vanishes, which is different from that given by Anderson’s criterion [J. Chem. Phys. Solids 11, 26 (1959)], and that it scales as a power law with island size, rather than exponentially as in isolated grains.
Similar papers
Pair correlations and the survival of superconductivity in and around a super-conducting impurity
similarity 0.97Yonatan Dubi · 2006 · arXiv:cond-mat/0605624
Source status unknown — claims are unverified
Impurity-induced subgap states in superconductors with inhomogeneous pairing
similarity 0.87A. A. Bespalov
Source status unknown — claims are unverified
Low energy collective modes, Ginzburg-Landau theory, and pseudogap behavior in superconductors with long-range pairing interactions
similarity 0.86Kun Yang & S. L. Sondhi · 2000 · arXiv:cond-mat/0004471
Source status unknown — claims are unverified
Influence of atomic-scale inhomogeneity of the pair interaction on the local pair formation and density of states of high-Tc superconductors
similarity 0.86A. M. Bobkov & I. V. Bobkova
Source status unknown — claims are unverified
Superconductivity in the SU(N) Anderson Lattice at U=\infty
similarity 0.86M. A. N. Araujo et al. · 2000 · arXiv:cond-mat/0007163
Source status unknown — claims are unverified
Electron correlation and impurity-induced quasiparticle resonance states in cuprate superconductors
similarity 0.85Bin Liu et al. · 2013 · arXiv:1311.7253
Source status unknown — claims are unverified