First-order phase transition in superconducting sandwiches

Rivier, N.; Brojeny, Ali A Babaei

doi:10.1088/0305-4608/7/4/006

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Order Of the Phase Transition When 1-72/bbm >1

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1978

1992

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Cited by 3 publications

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“…26 The analysis of the order of the phase transition for such systems shall be the subject of a subsequent work.…”

Section: Discussionmentioning

confidence: 99%

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Bifurcation theory and order of phase transition for proximity effect sandwiches

1978

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We use bifurcation theory to study the order of the phase transition for inhomogeneous superconducting systems described by the Ginzburg-Landau equations. Complete qualitative information on the behavior near the critical point can be obtained using these techniques of nonlinear analysis and the calculus of variations. We prove in a rigorous way that there is a secondorder phase transition for a normal-superconducting-normal (N-S-N) proximity sandwich. Moreover, in the case of a magnetic-superconductingmagnetic (M-S-M) proximity sandwich we show the dependence of the order of the phase transition on the coupling constant between the magnetic and superconducting order parameters.

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“…26 The analysis of the order of the phase transition for such systems shall be the subject of a subsequent work.…”

Section: Discussionmentioning

confidence: 99%

“…The transition temperature is given by the first eigenvalue of the linearized problem, i.e., the highest temperature solution of the equation (26) Obviously the presence of magnetic impurities lowers the transition temperature since, k2+[a [3,/b plays the role of k 2. If 3' increases, T1…”

Section: Order Of the Phase Transition When 1-72/bbm >mentioning

confidence: 99%