Abstract

Spin-singlet superconductors with quasi-two-dimensional multilayer structure are studied in high magnetic fields. Specifically we concentrate on bi and trilayer systems whose layers by symmetry are subject Rashba-type spin-orbit coupling. Our previous study showed that the combination of magnetic field and spin-orbit coupling leads to a first order phase transition between different states of layer-dependent superconducting order parameters upon rising the magnetic field. In this context we distinguish the low-field Bardeen-Cooper-Schrieffer state where all layers have order parameters of the same sign and the high-field pair-density wave (PDW) state where the layer-dependent order parameters change the sign at the center layer. In this paper, we show the magnetic field dependence of local magnetization which plays an important role for the stability of PDW state.

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