Physical Review B, volume 99, issue 13, publication number 134516

Magnetization reorientation due to the superconducting transition in heavy-metal heterostructures

Publication typeJournal Article
Publication date2019-04-23
Quartile SCImago
Q1
Quartile WOS
Q2
Impact factor3.7
ISSN24699950, 24699969, 10980121, 1550235X
Abstract
Recent theoretical and experimental work has demonstrated how the superconducting critical temperature $({T}_{c})$ can be modified by rotating the magnetization of a single homogeneous ferromagnet proximity-coupled to the superconducting layer. This occurs when the superconductor and ferromagnet are separated by a thin heavy normal metal that provides an enhanced interfacial Rashba spin-orbit interaction. In the present work, we consider the reciprocal effect: magnetization reorientation driven by the superconducting phase transition. We solve the tight-binding Bogoliubov--de Gennes equations on a lattice self-consistently and compute the free energy of the system. We find that the relative angle between the spin-orbit field and the magnetization gives rise to a contribution in the free energy even in the normal state, $Tg{T}_{c}$, due to band-structure effects. For temperatures below ${T}_{c}$, superconductivity gives rise to a competing contribution. We demonstrate that by lowering the temperature, in addition to reorientation of the favored magnetization direction from in-plane to out-of-plane, a $\ensuremath{\pi}/4$ in-plane rotation for thicker ferromagnetic layers is possible. Furthermore, computation of ${T}_{c}$ of the structure in the ballistic limit shows a dependence on the in-plane orientation of the magnetization, in contrast to our previous result on the diffusive limit. This finding is relevant with respect to thin-film heterostructures since these are likely to be in the ballistic regime of transport rather than in the diffusive regime. Finally, we discuss the experimental feasibility of observing the magnetic anisotropy induced by the superconducting transition when other magnetic anisotropies, such as the shape anisotropy for a ferromagnetic film, are taken into account. Our work suggests that the superconducting condensation energy in principle can trigger a reorientation of the magnetization of a thin-film ferromagnet upon lowering the temperature below ${T}_{c}$, in particular for ferromagnets with weak magnetic anisotropies.

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Johnsen L. G., Banerjee N., Linder J. Magnetization reorientation due to the superconducting transition in heavy-metal heterostructures // Physical Review B. 2019. Vol. 99. No. 13. 134516
GOST all authors (up to 50) Copy
Johnsen L. G., Banerjee N., Linder J. Magnetization reorientation due to the superconducting transition in heavy-metal heterostructures // Physical Review B. 2019. Vol. 99. No. 13. 134516
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RIS Copy
TY - JOUR
DO - 10.1103/PhysRevB.99.134516
UR - https://doi.org/10.1103/PhysRevB.99.134516
TI - Magnetization reorientation due to the superconducting transition in heavy-metal heterostructures
T2 - Physical Review B
AU - Johnsen, Lina G.
AU - Banerjee, Niladri
AU - Linder, Jacob
PY - 2019
DA - 2019/04/23
PB - American Physical Society (APS)
IS - 13
VL - 99
SN - 2469-9950
SN - 2469-9969
SN - 1098-0121
SN - 1550-235X
ER -
BibTex
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BibTex Copy
@article{2019_Johnsen,
author = {Lina G. Johnsen and Niladri Banerjee and Jacob Linder},
title = {Magnetization reorientation due to the superconducting transition in heavy-metal heterostructures},
journal = {Physical Review B},
year = {2019},
volume = {99},
publisher = {American Physical Society (APS)},
month = {apr},
url = {https://doi.org/10.1103/PhysRevB.99.134516},
number = {13},
doi = {10.1103/PhysRevB.99.134516}
}
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