Quantum mechanism of nonlocal Gilbert damping in magnetic trilayers

Ehsan Barati; Marek Cinal

doi:10.1103/PhysRevB.91.214435

Quantum mechanism of nonlocal Gilbert damping in magnetic trilayers

Ehsan Barati, Marek Cinal

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Abstract

A fully quantum-mechanical calculation of the Gilbert damping constant α in magnetic trilayers is done by employing the torque-correlation formula within a realistic tight-binding model. A remarkable enhancement of α in Co/NM1/NM2 trilayers is obtained due to adding the caps NM2=Pd, Pt, and it decays with the thickness of the spacers NM1=Cu, Ag, Au in agreement with experiment. Nonlocal origin of the Gilbert damping is visualized with its atomic layer contributions. It is shown that magnetization in Co is damped remotely by strong spin-orbit coupling in NM2 via quantum states with large amplitude in both Co and NM2.

Original language	English
Article number	214435
Journal	Physical review B: Condensed matter and materials physics
Volume	91
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevB.91.214435
Publication status	Published - 30 Jun 2015
Externally published	Yes

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PhysRevB.91.214435Final published version, 2.19 MB

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AB - A fully quantum-mechanical calculation of the Gilbert damping constant α in magnetic trilayers is done by employing the torque-correlation formula within a realistic tight-binding model. A remarkable enhancement of α in Co/NM1/NM2 trilayers is obtained due to adding the caps NM2=Pd, Pt, and it decays with the thickness of the spacers NM1=Cu, Ag, Au in agreement with experiment. Nonlocal origin of the Gilbert damping is visualized with its atomic layer contributions. It is shown that magnetization in Co is damped remotely by strong spin-orbit coupling in NM2 via quantum states with large amplitude in both Co and NM2.

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Quantum mechanism of nonlocal Gilbert damping in magnetic trilayers

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