Finite-momentum superconductivity in two-dimensional altermagnets with a Rashba-type spin-orbit coupling

Kohei Mukasa, Yusuke Masaki
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Abstract

We theoretically study the finite-momentum superconductivity in two-dimensional (2D) altermagnets with a Rashba-type spin-orbit coupling (RSOC). We show the phase diagrams obtained by solving the linearized gap equation. We consider two directions of the N\'{e}el vector of the 2D altermagnet: parallel to the $x$-$y$ plane (in-plane) and perpendicular to the $x$-$y$ plane (out-of-plane). For the in-plane N\'{e}el vector, we find two different finite-momentum $d_{x^2-y^2}$-wave superconducting states distinguished by a dominant pairing channel: the inter-band pairing or the intra-band pairing. Furthermore, it is shown that an asymmetric deformation of Fermi surfaces caused by spin-splitting effects due to the in-plane altermagnet and the RSOC stabilizes the finite-momentum superconductivity with a large band splitting. For the out-of-plane N\'{e}el vector, the finite-momentum superconductivity is found only in the inter-band pairing mechanism, which is in contrast to the in-plane case.
具有拉什巴型自旋轨道耦合的二维变磁体中的有限动量超导性
我们从理论上研究了具有拉什巴型自旋轨道耦合(RSOC)的二维(2D)异磁体的有限动量超导性。我们展示了通过求解线性化加普方程得到的相图。我们考虑了二维变磁体的两个N\'{e}el矢量方向:平行于x$$-y$平面(面内)和垂直于x$$-y$平面(面外)。对于平面内的 N\'{e}el 向量,我们发现了两种不同的有限动量 $d_{x^2-y^2}$波超导态,它们由一个主要的配对通道区分开来:带间配对或带内配对。此外,研究还表明,面内反磁体和 RSOC 的自旋分裂效应导致费米面的不对称形变,从而稳定了具有较大带分裂的有限动量超导。对于平面外的N\'{e}el矢量,有限动量超导性只存在于带间配对机制中,这与平面内的情况截然不同。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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