Institut für Theoretische Physik der Universität zu Köln, Deutschland
Institut für Theoretische Physik der Universität zu Köln, Deutschland
integrated Green's functions
Transformation of Gorkov's equation for type II superconductors into transport-like equations
https://scigraph.springernature.com/explorer/license/
transport-like equations
type-II superconductors
articles
scatterers
anda
starting point
article
The stationary behavior of type II superconductors is completely described by Gorkov's equations for a set of four Green's functions, supplemented by two self-consistency equations for gap parameterΔ(r) and vector potentialA(r). Expanding all quantities as usual at the Fermi surface and averaging over impurity positions, this set of equations is transformed into a simpler set for integrated Green's functions (which still contain much more information than is needed in most cases). The resulting equations, when linearized, yield essentially Lüders' transport equation for de Gennes' correlation function. The full equations contain all the known results and provide a promising starting point for numerical calculations.The thermodynamic potential is constructed as a functional of the integrated Green's functions and the mean fieldsΔ andA and a variational principle is formulated which uses this functional. Finally, paramagnetic scatterers are included (in Born approximation) as an example for possible generalizations of the new equations.
superconductors
self-consistency equations
transformation
function
principles
thermodynamic potential
Gorkov equations
stationary behavior
II superconductors
quantity
position
equations
vector
behavior
generalization
example
functionals
impurity position
results
2022-09-02T16:03
set
false
surface
1968-04-01
195-213
full equations
point
numerical calculations
variational principle
possible generalizations
set of equations
transport equation
Green's function
calculations
https://doi.org/10.1007/bf01379803
potential
correlation functions
Fermi surface
new equation
promising starting point
gap
simple set
1968-04
Gert
Eilenberger
2
Springer Nature - SN SciGraph project
214
Springer Nature
0939-7922
1431-5831
Zeitschrift für Physik A Hadrons and nuclei
pub.1041571783
dimensions_id
Numerical and Computational Mathematics
doi
10.1007/bf01379803
Mathematical Sciences