Phase transitions in nonequilibrium superconductors induced by quasiparticle injection

Abstract

We discuss the phase transitions induced by the injection of quasiparticles in nonequilibrium superconductors, based upon the equations of Scalapino andHuberman and including nonlinear effects. When the effect of the reaction of quasiparticles with phonons is small the system shows a first-order transition to an inhomogeneous state. As the effect of the reaction becomes larger, the transition becomes of second order. When the effect of the reaction is further increased, the system shows the first-order transition to the homogeneous normal state as was predicted by Owen and Scalapino. The results are in qualitative agreement with the recent experiments of IguchL The relation of the present problem to the spinodal decomposition is discussed.

Stability of superconducting states out of thermal equilibrium

“…We include now the term with the time derivative and obtain by a similar calculation 6X,o = (rriwrE/4Tc)h (a2q 2) 6A (28) From these results it follows that the gap equation is equivalent to a linearized Ginzburg-Landau equation of the form -(rrA/4Tc)itorEh (A2q 2) 6A = -XaA (29) with 0Aa (~ ,'5 2…”

“…In a last step, we include the Ginzburg-Landau deformation energy sc2(0)q 2 8A in the definition of X by Eq. (29). Generally, this term has the effect of increasing the stiffness with increasing q.…”

“…(29). We parametrize X as follows: Computing z (u ; x), we encounter an integral of the form shown in Eq.…”

Study of phonon-injection-induced destruction of superconductivity in tin films

“…In the past few years there has been considerable interest in the equilibrium and nonequilibrium properties of thin-film superconductors in [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] their current-carrying states as well as voltage-sustaining states. However, some of the experimental observations remain without an adequate theoretical explanation and in some cases some of the model predictions remain without adequate experimental support.…”

“…9 [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] decisive role in all the above mvesugauons.…”