Nonequilibrium Superconducting States with Two Coexisting Energy Gaps

Schoen, Gerd; Tremblay, A.–M. S.

doi:10.1103/physrevlett.42.1086

Cited by 35 publications

(5 citation statements)

References 9 publications

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“…6'7 Comparing Eqs. (21), (22), and (24), we can see that the condition for instability with respect to finite fluctuations can be fulfilled at a high pumping intensity. On the other hand, it follows from Eqs.…”

Section: Quasiparticle Distribution Functionmentioning

confidence: 84%

Ferromagnetic ordering of quasiparticles in nonequilibrium superconductors and the rise of domains

Aronov¹,

Spivak²

1980

J Low Temp Phys

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It is shown that in nonequilibrium superconductors new states with spontaneous spin polarization of quasiparticles can exist due to the Fermi-liquid exchange interaction. The stability o) r both polarized and unpolarized nonequilibrium states with respect to small and finite fluctuations is discussed.It is shown that the nonequilibrium states of superconductors generated by the pumping of quasiparticles may be unstable with respect to both unpolarized and polarized finite fluctuations.

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Section: Quasiparticle Distribution Functionmentioning

confidence: 84%

Ferromagnetic ordering of quasiparticles in nonequilibrium superconductors and the rise of domains

Aronov¹,

Spivak²

1980

J Low Temp Phys

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“…Since the distribution function n v = n'r+~lv as well as the order parameter A may depend on space, we start from the Boltzmann equation in the form (23), which contains the diffusion term (]e]/E)D ff2T/(E). The dependence of the prefactor (]e[/E) on the spatially varying order parameter requires, however, an approximation, and we propose to solve instead an equation of the following type: For the moment, we neglect the time-dependent term and obtain for the control function…”

Section: Quasiparticle Diffusion and Phase Coexistence Of Emsmentioning

confidence: 99%

“…In the region where the branches overlap, significantly differing values of the current density are also obtained.The linear stability analysis is comparatively simple, since the drive term (81) depends only on the gap Aa, which is constant. Thus, of the two terms on the right side of the Boltzmann equation(23), only the second one acquires a fluctuating increment. Including the Ginzburg-Landau deformation energy, we obtain The solutions A shown as a function of the applied voltage as obtained by the construction inFig.…”

mentioning

confidence: 99%

Stability of superconducting states out of thermal equilibrium

et al. 1979

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Quasiparticies of superconda~ctors can be manipulated either by irradiation or tunnel injection such that substantial changes of the gap (order parameter) occur which are most pronounced close to the transition temperature. These phenomena are investigated by a theory which is based on the combined system of the Boltzmann equation and the BCS gap equation. Several stationary, spatially homogeneous states are found in some range of temperatures. A linear stability analysis reveals two types of behavior, depending, essentially, on whether quasiparticle diffusion increases or decreases the stability. In a representative situation of the first type, two states turn out to be locally stable. An investigation of a nonlinear equation of motion for the order parameter leads to the conclusion that a first-order phase transition between these two states occurs at a g~!ven temperature. In a situation of the second type, one finds that fluctuations of a definite wave vector destroy the spatially homogeneous state and lead to a stable state of layered structure.

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“…In practice, the above condition may not be satisfied. It would be interesting to extend these ideas to low temperatures where a solution of the deterministic equation also leads to the possibility of a phase transition 5 but where a determination of the fluctuations, which we must know to determine the global stability, is more complicated than close to Tc.…”

Section: Resultsmentioning

confidence: 99%

“…By contrast,x computed with 6n(1)(E has a step 5 . It is basically this step which leads to multiple solutions of the gap equation.…”

Section: ( Es/ph (6)mentioning

confidence: 99%

Effect of nonequilibrium phonons on superconducting states with two coexisting energy gaps

Tremblay¹,

Schön²

1980

AIP Conference Proceedings

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It is shown that under the influence of tunnel currents, superconductors may exhibit a Ofirst order transitio~-to a state with two coexisting' energy gaps. La.. An energy and number conserving approximation for the collision operator is used to, explicitly take into account in the theory the effect of nonequilibrium phonons. ABSTRACTIt is shown that under the influence of tunnel currents, superconductors may exhibit a "first order transition" to a state with two coexisting energy gaps. An energy and number conserving approximation for the collision operator is used to explicitly take into account in the theory the effect of nonequilibrium phonons. Quantitative predictions for experiments are presented.

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Nonequilibrium Superconducting States with Two Coexisting Energy Gaps

Cited by 35 publications

References 9 publications

Ferromagnetic ordering of quasiparticles in nonequilibrium superconductors and the rise of domains

Ferromagnetic ordering of quasiparticles in nonequilibrium superconductors and the rise of domains

Stability of superconducting states out of thermal equilibrium

Effect of nonequilibrium phonons on superconducting states with two coexisting energy gaps

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