# London penetration depth and pair breaking

Title | London penetration depth and pair breaking |

Publication Type | Journal Article |

Year of Publication | 2013 |

Authors | Kogan VG, Prozorov R, Mishra V |

Journal Title | Physical Review B |

Volume | 88 |

Pages | 224508 |

Date Published | 12 |

Type of Article | Article |

ISBN Number | 1098-0121 |

Accession Number | WOS:000328687300006 |

Keywords | alloys, d-wave superconductors, paramagnetic impurities, scattering, superconductors, superfluid density tensor, unconventional |

Abstract | The London penetration depth is evaluated for isotropic materials for any transport and pair-breaking Born scattering rates. Besides known results, a number of features are found. The slope vertical bar d rho/d theta vertical bar of the normalized superfluid density rho = lambda(2)(0)/lambda(2)(theta) at the transition theta = T/T-c = 1 has a minimum near the value of the pair-breaking parameter separating gapped and gapless states. The low-T exponentially flat part of rho for the s-wave materials is suppressed by increasing pair breaking. For strong T-c suppression by magnetic impurities the "Homes scaling" lambda(-2)(0) proportional to sigma T-c with sigma being the normal conductivity gives way to lambda(-2)(0) proportional to sigma T-c(2). For the d-wave order parameter, the transport and spin-flip Born scattering rates enter the theory only as a sum; in particular, they affect the T-c depression in the same manner. We confirm that the linear low-temperature behavior of rho in a broad range of the combined scattering parameter turns to the T-2 behavior only when the critical temperature is suppressed at least by a factor of 3 relative to the clean limit T-c0. Moreover, in this range, rho(theta) is only weakly dependent on the scattering parameter, i.e., it is nearly universal. |

URL | <Go to ISI>://WOS:000328687300006 |

DOI | 10.1103/PhysRevB.88.224508 |