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Minimum IREAD/IWRITE for Viability
Sharing MTJs Minimum IREAD/IWRITE for Viability
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Definition of IREAD/IWRITE
IREAD: probability of switching < threshold (i.e. 10-9, prob of switching < 0.01% for 100,000 reads) IWRITE: probability of switching > threshold (i.e , prob of not switching < 0.01% for 100,000 writes)
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Minimum IREAD/IWRITE for Sharing
For (P→AP): For (AP→P): WL<1> WL<2> BL<1> BL<2>
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Distribution of MIN IREAD/IWRITE
Assuming Gaussian distributions for RP and TMR, we can derive the distribution for min IREAD/IWRITE
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Results TMR = 120% Rp = 300Ω σTMR = 10% σRp = 20Ω TMR = 120% Rp = 450Ω
XWRITE 0.35 0.5 0.65 1 IREAD/IWRITE σAP→P σP→AP IREAD/IWRITE + 3σAP→P IREAD/IWRITE + 3σP→AP XWRITE 0.35 0.5 0.65 1 IREAD/IWRITE σAP→P σP→AP IREAD/IWRITE + 3σAP→P IREAD/IWRITE + 3σP→AP Typical I-STT TMR = 200% Rp = 300Ω σTMR = 10% σRp = 20Ω TMR = 120% Rp = 300Ω σTMR = 20% σRp = 40Ω XWRITE 0.35 0.5 0.65 1 IREAD/IWRITE σAP→P σP→AP IREAD/IWRITE + 3σAP→P IREAD/IWRITE + 3σP→AP XWRITE 0.35 0.5 0.65 1 IREAD/IWRITE σAP→P σP→AP IREAD/IWRITE + 3σAP→P IREAD/IWRITE + 3σP→AP Higher TMR for Reading TMR = 200% Rp = 450Ω σTMR = 8% σRp = 15Ω TMR = 50% Rp = 600Ω σTMR = 5% σRp = 10Ω C-STT XWRITE 0.35 0.5 0.65 1 IREAD/IWRITE σAP→P σP→AP IREAD/IWRITE + 3σAP→P IREAD/IWRITE + 3σP→AP XWRITE 0.35 0.5 0.65 1 IREAD/IWRITE σAP→P σP→AP IREAD/IWRITE + 3σAP→P IREAD/IWRITE + 3σP→AP
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Summary Sharing Degrades Read Margin → Need Larger TMR
Larger TMR → Larger IREAD/IWRITE IREAD/IWRITE ≈ 33% to 50%
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