Layered superconductors. I. Vortex and fluxon phase transitions
Baruch Horovitz
DOI 10.1103/PhysRevB.47.5947 · Physical Review B
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Abstract
A system of superconducting layers with spacing d, in-layer penetration depth λe and Josephson coupling between neighboring layers J is studied. When J=0 the system exhibits a two-dimensional (2D) phase transition of vortex unbinding at a temperature Tv. When λe≲d a finite-size transition at Tveff>Tv distinguishes this system from an XY model. When J≠0, but vortices are neglected, Josephson fluxon loops lead to a distinct phase transition at Tf>Tv in which a significant second nearest-layer coupling is generated. Competing vortices and fluxon loops lead to a three-dimensional phase transition at Tc, where Tv<Tc<Tf. For CuO2-based superconductors (λe≫d) Tc is near Tf if Tc≳J≫Tcexp(-Ec′/Tc), where Ec′ is a renormalized vortex-core energy; Tc drops to Tv as J is decreased, accounting for data on YBa2Cu3O7/PrBa2Cu3O7 superlattices.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| YBa2Cu3O7 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 90 | Pressure not reported | unknown |
| Bi2Sr2CaCu2O8 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 59 | Pressure not reported | unknown |
| Tl2Ba2CaCu2O8 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
| Bi2Sr2CuO6 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 15 | Pressure not reported | unknown |
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