Vortices. Isotropic Superconductors by Nikolai KOPNIN

By Nikolai KOPNIN

Isotropic Superconductors (Vortices in sort II Superconductors: constitution and Dynamics) [Loose Leaf Edition]..LOOSE LEAF UNBOUND variation NO BINDER.

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Q, k#q; k"0)"v . L. Kulic& / Physics Reports 338 (2000) 1}264 43 the renormalization due to all scattering processes responsible for "nite conductivity [38,133]. In the following, we study only the inplane conductivity at k"0. The latter case is realized due the long penetration depth in the superconducting state and because the skin depth in the normal state is very large in HTS oxides. i  ) . k, ), are de"ned in Section 3. i  ) is a sum over corresponding terms labeled below by the index i.

17) Here ( ) is the dynamical conductivity of the carriers and is the high-frequency dielectric GG GG  function and the second term describes the contribution of the lattice vibrations to the dielectric (e ) is the function. n is the number of unit cells per unit volume of the crystal, (p) " Z ? L. Kulic& / Physics Reports 338 (2000) 1}264 41 Fig. 21. 5 K). A( ) is depressed at "800 cm\ but only below ¹ . In ( ) there is a narrowing at low   
  ; from [74]. ective charge of the th atom and ?

Recently, it is claimed [119] that by applying Eq. 37c) to optic measurements [120] in superconducting state (at ¹"5 K) of YBa Cu O one obtains that  ( )F( )&g Im ( ). It   
   is claimed in [119] that  ( )F( ) obtained in such a way has a huge peak around &41 meV    and that it scales with doping (¹ ). 1 (see the quantitative analysis after Eq. 5)). 6 in order to get  ¹ "91 K. 1) the more detailed analysis shows that ¹ obtained by extracting (k, ) from neutron scattering in the normal state (these results are also used in [119]) saturates at ¹ +50 K even for unphysically large g .

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