Theory of tunneling anomalies in superconductors above the paramagnetic limit
Hae-Young Kee, I. L. Aleiner, B. L. Altshuler
DOI 10.1103/PhysRevB.58.5757 · Physical Review B
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Abstract
We study the tunneling density of states (DOS) in superconducting systems driven by a Zeeman splitting EZ into the paramagnetic phase. We show that, even though the BCS gap disappears, superconducting fluctuations cause a strong DOS singularity in the vicinity of energies −E* for electrons polarized along the magnetic field and E* for the opposite polarization. The position of this singularity E*=12(EZ+EZ2−Δ2) (where Δ is BCS gap at EZ=0) is universal. We found analytically the shape of the DOS for different dimensionalities of the system. For ultrasmall grains the singularity has the shape of a hard gap, while in higher dimensions it appears as a significant though finite dip. Spin-orbit scattering, and an orbital magnetic field suppress the singularity. Our results are qualitatively consistent with recent experiments in superconducting films.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Al Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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