Extended Ginzburg-Landau Formalism for Two-Band Superconductors
A. A. Shanenko, M. V. Milošević, F. M. Peeters, A. V. Vagov
DOI 10.1103/PhysRevLett.106.047005 · Physical Review Letters
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Abstract
Recent observation of unusual vortex patterns in MgB2 single crystals raised speculations about possible “type-1.5” superconductivity in two-band materials, mixing the properties of both type-I and type-II superconductors. However, the strict application of the standard two-band Ginzburg-Landau (GL) theory results in simply proportional order parameters of the two bands—and does not support the “type-1.5” behavior. Here we derive the extended GL formalism (accounting all terms of the next order over the small τ=1−T/Tc parameter) for a two-band clean s-wave superconductor and show that the two condensates generally have different spatial scales, with the difference disappearing only in the limit T→Tc. The extended version of the two-band GL formalism improves the validity of GL theory below Tc and suggests revisiting the earlier calculations based on the standard model.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| MgB2 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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