Spin Pumping and Torque Statistics in the Quantum Noise Limit
Virtanen, Pauli; Heikkilä, Tero (2017). Spin Pumping and Torque Statistics in the Quantum Noise Limit. Physical Review Letters, 118 (23), 237701. DOI: 10.1103/PhysRevLett.118.237701
Published inPhysical Review Letters
© 2017 American Physical Society. Published in this repository with the kind permission of the publisher.
We analyze the statistics of charge and energy currents and spin torque in a metallic nanomagnet coupled to a large magnetic metal via a tunnel contact. We derive a Keldysh action for the tunnel barrier, describing the stochastic currents in the presence of a magnetization precessing with the rate Ω. In contrast to some earlier approaches, our result is valid for an arbitrary ratio of ℏΩ/kBT. We illustrate the use of the action by deriving spintronic fluctuation relations, the quantum limit of pumped current noise, and consider the fluctuations in two specific cases: the situation with a stable precession of magnetization driven by spin transfer torque, and the torque-induced switching between the minima of a magnetic anisotropy. The quantum corrections are relevant when the precession rate exceeds the temperature T, i.e., for ℏΩ≳kBT.
PublisherAmerican Physical Society
Publication in research information system
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Related funder(s)Academy of Finland
Funding program(s)Centre of Excellence, AoF
Additional information about fundingThis work was supported by the MIUR-FIRB2013-Project Coca (Grant No. RBFR1379UX), the Academy of Finland Centre of Excellence program (Project No. 284594) and the European Research Council (Grant No. 240362-Heattronics).
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