Multiplasmon resonant scattering processes in superconductivity
Închide
Articolul precedent
Articolul urmator
388 3
Ultima descărcare din IBN:
2021-12-03 14:57
SM ISO690:2012
KLYUKANOV, Alexandr, KANTSER, Valeriu, DUJA, C.. Multiplasmon resonant scattering processes in superconductivity. In: Materials Science and Condensed Matter Physics, 13-17 septembrie 2010, Chișinău. Chișinău, Republica Moldova: Institutul de Fizică Aplicată, 2010, Editia 5, p. 51.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Materials Science and Condensed Matter Physics
Editia 5, 2010
Conferința "Materials Science and Condensed Matter Physics"
Chișinău, Moldova, 13-17 septembrie 2010

Multiplasmon resonant scattering processes in superconductivity


Pag. 51-51

Klyukanov Alexandr12, Kantser Valeriu12, Duja C.1
 
1 Moldova State University,
2 Institute of the Electronic Engineering and Nanotechnologies "D. Ghitu"
 
Disponibil în IBN: 14 aprilie 2021


Rezumat

Multiquantum transitions have remained an important area of kinetic theory. Processes of photon emission with simultaneous creation of a several plasmons are significant for understanding of many features of luminescence spectra. Analogous simultaneous processes determine high frequency multiplasmon structure of electron energy loss spectra. Multiphonon structure in the superconducting tunneling current versus voltage plot is known since the early 1960¢ s. The consecutive emission of a few phonons can be considered in the frame of Eliashberg theory. We derive the corresponding multiplasmon theoretical approach with account of multiquantum scattering processes, applied to the problem of superconductivity. Heisenberg motion equation with account of pair correlations has been used to derive multiquantum integral equation for the complex order parameter k D in a superconductor. å å¥ =-¥ + + * + + + + D D = n p k k q n n k q k q k q q k q q n E E n I z E V ( , ) (1 2 ) ( 1) ( ) 2 2 e hw (1) Direct Coulomb pair correlations have evaluated explicitly by means of fluctuation-dissipation theorem. The kernel of integral equation for k D (1) includes the dynamic interaction between electrons in the Cooper pairs due to resonant exchange of several high frequency plasmons. According to Eq. (24) the frequencies of the quasi-particles (plasmons, phonons), which are involved into quantum transitions have to be determined from the equation formula. For typical values of metal parameters the numerical value of coupling constant is more then one formula ). Hence the influence of electron inelastic scattering associated with excitation of several high frequency plasmons is considerable. Further insight we gain by investigation of the motion equation for expectation value of four-operator term  formula . Within the dynamical Hartree-Fock like approximation we obtain formula (2) First of all it has been emphasized, that equation (2) is consistent with Bogoliubov equations. Really equation (2) includes four Bogoliubov equations, which can be obtained by decoupling of formula. Wannier equation (2) mathematically identical to the Schrodinger equation for the relative motion of Cooper pairs i,-i and k,-k . The interaction between pairs in the equation (2) arise due to the k-space filling. These interaction are a consequence of the Fermionic nature of the electrons. If Cooper pair state k,-k with energies below the Fermi energy is occupied formula, but state i,-i with energies above is unoccupied formula the term formula , μ and the term formula , will have the same sign, so the interaction between pairs will be substantial. Wannier equation for relative motion of electrons in the single Cooper pair can be written as formula (3) The kernel of the linear integral equation (3) with account of fluctuations near mean field has the form formula (4) Expressing k C from the equation (3) and substituting it into the sum (3) we obtain the integral equation determining Cooper pairs self-energy W in the form formula (5) Equation (5) is the microscopic Cooper equation with account of multiplasmon scattering processes determining the dispersion law of the pairs free from model approximation.