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Importance sampling for thermally induced switching and non-switching probabilities in spin-torque magnetic nanodevices
Spin-transfer torque magnetoresistive random access memory is a potentially
transformative technology in the non-volatile memory market. Its viability
depends, in part, on one's ability to predictably induce or prevent switching;
however, thermal fluctuations cause small but important errors in both the
writing and reading processes. Computing these very small probabilities for
magnetic nanodevices using naive Monte Carlo simulations is essentially
impossible due to their slow statistical convergence, but variance reduction
techniques can offer an effective way to improve their efficiency. Here, we
provide an illustration of how importance sampling can be efficiently used to
estimate low read and write soft error rates of macrospin and coupled-spin
systems.Comment: 11 pages, 14 figure
MRAM Technology Status
Magnetoresistive Random Access Memory (MRAM) is much different from conventional types of memory like SRAM, DRAM, and Flash, where electric charge is used to store information. Instead of exploiting the charge of an electron, MRAM uses its spin to store data. This new type of electronics is known as "spintronics." The primary focus of this report is the current generation of MRAM technology, and its reliability, vendors, and space-readiness
Π‘ΠΏΠΈΠ½ΡΡΠΎΠ½ΠΈΠΊΠ° ΠΈ Π΅Π΅ Π²ΠΊΠ»Π°Π΄ Π² ΡΠ»Π΅ΠΌΠ΅Π½ΡΠ½ΡΡ Π±Π°Π·Ρ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠΈ. Π§.1
Π ΡΡΠ°ΡΡΠ΅ ΠΎΠΏΠΈΡΠ°Π½Ρ ΠΌΠ°Π³Π½ΠΈΡΠΎΡΠ΅Π·ΠΈΡΡΠΈΠ²Π½ΡΠ΅ ΡΡΠΈΡΡΠ²Π°ΡΡΠΈΠ΅ Π³ΠΎΠ»ΠΎΠ²ΠΊΠΈ, ΠΌΠ°Π³Π½ΠΈΡΠΎΡΠ΅Π·ΠΈΡΡΠΈΠ²Π½Π°Ρ ΠΏΠ°ΠΌΡΡΡ, ΡΠ°ΠΊΠΈΠ΅ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΠΏΠΎΠ½ΡΡΠΈΡ ΡΠΏΠΈΠ½ΡΡΠΎΠ½ΠΈΠΊΠΈ, ΠΊΠ°ΠΊ ΡΠΏΠΈΠ½-ΠΏΠΎΠ»ΡΡΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΠΉ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΡΠΎΠΊ, ΡΠΏΠΈΠ½-ΡΠΎΠΊ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠ²Π»Π΅Π½ΠΈΠ΅ ΡΠΏΠΈΠ½-ΡΡΠ°Π½ΡΠΏΠΎΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΠΈΡΠΈΠ²Π°Π½ΠΈΡ.Π£ ΡΡΠ°ΡΡΡ ΠΎΠΏΠΈΡΠ°Π½Ρ ΡΠ°ΠΊΡ Π²Π°ΠΆΠ»ΠΈΠ²Ρ Π²Π½Π΅ΡΠΊΠΈ ΡΠΏΡΠ½ΡΡΠΎΠ½ΡΠΊΠΈ Π² Π΅Π»Π΅ΠΌΠ΅Π½ΡΠ½Ρ Π±Π°Π·Ρ ΡΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΊΠΈ, ΡΠΊ ΠΌΠ°Π³Π½ΡΡΠΎΡΠ΅Π·ΠΈΡΡΠΈΠ²Π½Ρ Π·ΡΠΈΡΡΠ²Π°Π»ΡΠ½Ρ Π³ΠΎΠ»ΡΠ²ΠΊΠΈ ΠΉ Π΅Π½Π΅ΡΠ³ΠΎΠ½Π΅Π·Π°Π»Π΅ΠΆΠ½Π° ΠΌΠ°Π³Π½ΡΡΠΎΡΠ΅Π·ΠΈΡΡΠΈΠ²Π½Π° ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠ²Π½Π° ΠΏΠ°ΠΌ'ΡΡΡ, ΡΠ°ΠΊΡ ΠΎΡΠ½ΠΎΠ²Π½Ρ ΠΏΠΎΠ½ΡΡΡΡ ΡΠΏΡΠ½ΡΡΠΎΠ½ΡΠΊΠΈ, ΡΠΊ ΡΠΏΡΠ½-ΠΏΠΎΠ»ΡΡΠΈΠ·ΠΎΠ²Π°Π½ΠΈΠΉ Π΅Π»Π΅ΠΊΡΡΠΈΡΠ½ΠΈΠΉ ΡΡΡΡΠΌ, ΡΠΏΡΠ½-ΡΡΡΡΠΌ, Π° ΡΠ°ΠΊΠΎΠΆ ΡΠ²ΠΈΡΠ΅ ΡΠΏΡΠ½-ΡΡΠ°Π½ΡΠΏΠΎΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠ΅ΠΌΠ°Π³Π½ΡΡΡΠ²Π°Π½Π½Ρ.The paper describes such important contributions of spintronics to element base of computer science as magnetoresistive read heads and non-volatile magnetoresistive random-access memory, such basic concepts of spintronics as spin-polarized electric current, spin current and spin-transport phenomenon of reversal magnetization
Memories and memory circuits
Magnetoresistive random access memory (MRAM) is used to provide in-pixel memory circuits for display devices. A memory circuit (25) comprises two MRAMs (60, 62), each coupled to a respective input of a flip-flop circuit (64). A display device (1) is provided comprising a plurality of pixels (20) each associated with a memory circuit (25). One of the MRAMs is a switchable MRAM (60), the other MRAM is a reference MRAM (62) arranged to provide a reference by which the changed states of the switchable MRAM (60) may be readily observed and measured in the form of a differential
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