The spin-transfer torque between itinerant electrons and the magnetization in a ferromagnet is of fundamental interest for the applied physics community. To investigate the spin-transfer torque, powerful simulation tools are mandatory. We propose a micromagnetic standard problem including the spin-transfer torque that can be used for the validation and falsification of micromagnetic simulation tools. The work is based on the micromagnetic model extended by the spin-transfer torque in continuously varying magnetizations as proposed by Zhang and Li. The standard problem geometry is a permalloy cuboid of 100 nm edge length and 10 nm thickness, which contains a Landau pattern with a vortex in the center of the structure. A spin-polarized dc current density of flows laterally through the cuboid and moves the vortex core to a new steady-state position. We show that the new vortex-core position is a sensitive measure for the correctness of micromagnetic simulators that include the spin-transfer torque. The suitability of the proposed problem as a standard problem is tested by numerical results from four different finite-difference and finite-element-based simulation tools.
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1 June 2009
Research Article|
June 05 2009
Proposal for a standard problem for micromagnetic simulations including spin-transfer torque
Massoud Najafi;
Massoud Najafi
a)
1Arbeitsbereich Technische Informatiksysteme, Fachbereich Informatik,
Universität Hamburg
, Vogt-Kölln-Str. 30, 22527 Hamburg, Germany
2Institut für Angewandte Physik und Zentrum für Mikrostrukturforschung,
Universität Hamburg
, Jungiusstr. 11, 20355 Hamburg, Germany
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Benjamin Krüger;
Benjamin Krüger
b)
3I. Institut für Theoretische Physik,
Universität Hamburg
, Jungiusstr. 9, 20355 Hamburg, Germany
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Stellan Bohlens;
Stellan Bohlens
3I. Institut für Theoretische Physik,
Universität Hamburg
, Jungiusstr. 9, 20355 Hamburg, Germany
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Matteo Franchin;
Matteo Franchin
4School of Engineering Sciences,
University of Southampton
, SO17 1BJ Southampton, United Kingdom
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Hans Fangohr;
Hans Fangohr
4School of Engineering Sciences,
University of Southampton
, SO17 1BJ Southampton, United Kingdom
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Antoine Vanhaverbeke;
Antoine Vanhaverbeke
5
IBM Zürich Research Laboratory
, Säumerstrasse 4, CH-8803 Rüschlikon, Switzerland
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Rolf Allenspach;
Rolf Allenspach
5
IBM Zürich Research Laboratory
, Säumerstrasse 4, CH-8803 Rüschlikon, Switzerland
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Markus Bolte;
Markus Bolte
1Arbeitsbereich Technische Informatiksysteme, Fachbereich Informatik,
Universität Hamburg
, Vogt-Kölln-Str. 30, 22527 Hamburg, Germany
2Institut für Angewandte Physik und Zentrum für Mikrostrukturforschung,
Universität Hamburg
, Jungiusstr. 11, 20355 Hamburg, Germany
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Ulrich Merkt;
Ulrich Merkt
2Institut für Angewandte Physik und Zentrum für Mikrostrukturforschung,
Universität Hamburg
, Jungiusstr. 11, 20355 Hamburg, Germany
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Daniela Pfannkuche;
Daniela Pfannkuche
3I. Institut für Theoretische Physik,
Universität Hamburg
, Jungiusstr. 9, 20355 Hamburg, Germany
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Dietmar P. F. Möller;
Dietmar P. F. Möller
1Arbeitsbereich Technische Informatiksysteme, Fachbereich Informatik,
Universität Hamburg
, Vogt-Kölln-Str. 30, 22527 Hamburg, Germany
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Guido Meier
Guido Meier
2Institut für Angewandte Physik und Zentrum für Mikrostrukturforschung,
Universität Hamburg
, Jungiusstr. 11, 20355 Hamburg, Germany
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a)
Electronic mail: mnajafi@physnet.uni-hamburg.de.
b)
Electronic mail: bkrueger@physnet.uni-hamburg.de.
J. Appl. Phys. 105, 113914 (2009)
Article history
Received:
January 16 2009
Accepted:
March 23 2009
Citation
Massoud Najafi, Benjamin Krüger, Stellan Bohlens, Matteo Franchin, Hans Fangohr, Antoine Vanhaverbeke, Rolf Allenspach, Markus Bolte, Ulrich Merkt, Daniela Pfannkuche, Dietmar P. F. Möller, Guido Meier; Proposal for a standard problem for micromagnetic simulations including spin-transfer torque. J. Appl. Phys. 1 June 2009; 105 (11): 113914. https://doi.org/10.1063/1.3126702
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