2015
DOI: 10.1063/1.4908153
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Calculation of energy-barrier lowering by incoherent switching in spin-transfer torque magnetoresistive random-access memory

Abstract: To make a useful STT-MRAM (spin-transfer torque magnetoresistive random-access memory) device, it is necessary to be able to calculate switching rates, which determine the error rates of the device. In a singlemacrospin model, one can use a Fokker-Planck equation to obtain a low-current thermally activated rate ∝ exp(−E ef f /k B T ). Here the effective energy barrier E ef f scales with the single-macrospin energy barrier KV , where K is the effective anisotropy energy density and V the volume. A long-standing… Show more

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Cited by 28 publications
(39 citation statements)
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“…3(e)]. Following the predictions of 17 we conjecture that the DW is nucleated from the edge when the single-domain state is destabilized [ Fig. 3(f)].…”
Section: A Assumptions For the Domain Wall Mediated Switchingmentioning
confidence: 91%
“…3(e)]. Following the predictions of 17 we conjecture that the DW is nucleated from the edge when the single-domain state is destabilized [ Fig. 3(f)].…”
Section: A Assumptions For the Domain Wall Mediated Switchingmentioning
confidence: 91%
“…For example, ref. [63] suggests a global magnetostatic instability in STT switching in PMAs, where a non-coherent precessional mode starts to destabilize and diverge when the precession amplitude becomes large. Once destabilized, the entire magnet will eventually flip.…”
Section: Non-coherent Switchingmentioning
confidence: 99%
“…The second effect -the increased frequency spacing between the modes at small diameters -is the expected effect of the confinement of the spin waves and the resulting increase of the exchange contribution to the mode frequencies 17 . The eigenmodes of perpendicularly magnetized circular disks are well understood and can be described analytically in a semi-quantitative manner 21,[24][25][26][27][28] . The frequency spacing between the lowest frequency modes scales with γ 0 H J where H J = 2Ak 2 µ0M S is a generalized exchange field with A the exchange stiffness.…”
Section: B Spin-waves Within the Free Layermentioning
confidence: 99%
“…The area shaped in red is the positive halo that surrounds the main (negative) peak in d e(χxx) dω . where k is a generalized wavevector 21,26,28 . The additional exchange contributions act on m x and m y on equal footing, hence they maintain the circularity of the precession.…”
Section: Linewidth Beyond the Macrospin Approximationmentioning
confidence: 99%