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Nonlinear Meissner Effect and Enhancement of the Field Onset of Penetration of Vortices in Dirty Nb Films Under RF and DC Fields.   Alex Gurevich National High Magnetic Field Laboratory, Tallahassee, FL 32310 6-th Thin Film SRF Workshop, Padova, Italy, Oct. 4-6, 2010 N. Groll, AG and I. Chiorescu, Phys. Rev. B81, 020504(R) (2010)
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Meissner Effect ,[object Object],[object Object],J d (0)    4 MA/mm 2 for pure Nb J s (0)    2  10 8   A/cm 2 ,[object Object],1 3 mm 100 nm
London equations (1935) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],T T c n s n n
Superconducting current ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Dependence of the SC gap on current  ,[object Object],[object Object],In the clean limit the gap   (J) is independent of RF field at low T   J. Bardeen, Rev. Mod. Phys. 34, 667 (1962).  2 (J)/  2 (0) J/J d (0) 1 T << T c 1 0.54 T    T c 2/3  2 (J)/  2 (0) J/J d (0) 1 T << T c 1 0.54 T    T c 2/3
Intermodulation caused by NLME ,[object Object],[object Object],Intermodulation measurements is one of the ways of revealing the NLME T. Dahm and D.J. Scalapino, J. Appl. Phys. 81, 2002 (1997); Phys. Rev. B 60, 13125 (1999);  D.E. Oates, J. Supercond. Novel Magn. 20, 3 (2007).
Effect of NLME on kinetic inductance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Thin film resonator stripline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Measure the change of the resonance  frequency  f = 1/2  (CL) 1/2   as a function  of the parallel dc magnetic field: T = 80 mK
Effect of dc filed y Field B inclined by angle    with respect to the x-axis induces vector potentials:  A y  = -zBcos     and  A x  = zBcos   +   A  :  only A x  is coupled  linearly  with weak rf field The NLME correction to is quadratic in B and has 2 – cos2    angular dependence  Total rf current defines   (H) d w z x H   A 
Field range of the Meissner state is greatly increased in a thin film with d <   : ,[object Object],[object Object],[object Object],[object Object],[object Object],NLME can also reveal the enhancement of the vortex penetration field by thin film coating
Calculation of   (H) in the dirty limit ,[object Object],[object Object],[object Object],[object Object]
Detecting the Meissner state by the behavior of   f ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Field and angular dependence of   f ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
RF dissipation  ,[object Object],[object Object],[object Object],[object Object],[object Object],k E  H(t) E(z,t)
Effect of nonmagnetic impurities on low field R BCS   ,[object Object],[object Object],[object Object],[object Object],[object Object],Nonmagnetic impurities appear  to be not too bad for R BCS , but  are they benign at high rf fields?  E. Palmieri
Thermal activation in rf field in the clean limit Rocking “tilted” electron spectrum in the  current-carrying rf state J = J 0 cos  t Superfluid velocity  v s (t) = J/n s e ,[object Object],[object Object],[object Object],Clean limit 2   - 2vp F 2   + 2vp F
Nonmagnetic impurities are pairbreakers at high fields  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object]

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Gurevich - Nonlinear Meissner Effect and Enhancement of the Field Onset of Penetration of Vortices in Dirty Nb Films Under RF and DC Fields

  • 1. Nonlinear Meissner Effect and Enhancement of the Field Onset of Penetration of Vortices in Dirty Nb Films Under RF and DC Fields. Alex Gurevich National High Magnetic Field Laboratory, Tallahassee, FL 32310 6-th Thin Film SRF Workshop, Padova, Italy, Oct. 4-6, 2010 N. Groll, AG and I. Chiorescu, Phys. Rev. B81, 020504(R) (2010)
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  • 10. Effect of dc filed y Field B inclined by angle  with respect to the x-axis induces vector potentials: A y = -zBcos  and A x = zBcos  +  A  : only A x is coupled linearly with weak rf field The NLME correction to is quadratic in B and has 2 – cos2  angular dependence Total rf current defines  (H) d w z x H   A 
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