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Phase diagram of a surface superconductor in parallel magnetic field

Ol'ga V. Dimitrova·M. V. Feigel'man
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Abstract

Detailed theory of phase diagram of clean 2D surface superconductor in a parallel magnetic field is presented. Regular spin-orbital interaction of the Rashba type is known to produce inhomogeneous superconductive state similar to the Larkin-Ovchinnikov-Fulde-Ferrel (LOFF) state with $Δ({\bf r})\propto \cos({\bf Qr})$ at high magnetic fields, with $Q \sim gμ_B h/v_F$. We consider the case of relatively strong Rashba interaction and show that at low temperatures $T\leq 0.4 T_{c0}$ the LOFF-type state is separated from the usual homogeneous state by the first-order phase transition line. At higher temperatures new "helical" state with $Δ({\bf r}) \propto \exp(i{\bf Qr})$ intervene between uniform BCS state and LOFF-like state. One component of superfluid density tensor $n_s$ vanishes on the second-order transition line between BCS state and helical state. Nonmagnetic impurities suppresses both inhomogeneous states, and eliminate them completely at $T_{c0}τ\leq 0.11$.

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Ol'ga V. Dimitrova, M. V. Feigel'man. 2004-06-24. Phase diagram of a surface superconductor in parallel magnetic field. https://doi.org/10.1134/1.1644308

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