The influence of processing conditions on data retention behavior in a deep submicron NVM process

Karnett, Martin P.; Qian, Shilong; Solis, Randy; Tao, Xuyuan; Black, A. L.; Boonsanguan, S.; Liu, A.

doi:10.1109/asmc.2003.1194479

Cited by 2 publications

(1 citation statement)

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“…In FG memory, plasma damage and mobile ions have been reported to cause charge loss. [11][12][13] However, reports on such cases for SONOS memories are scarce, with the exception of a case of plasma damage. 14) Despite the fact that SONOS 2-bit storage flash memory has a unique structure, there has been no discussion on the abovementioned issues associated with memory cell scaling.…”

Section: Introductionmentioning

confidence: 99%

Mobile-Ion-Induced Charge Loss Failure in Silicon–Oxide–Nitride–Oxide–Silicon Two-Bit Storage Flash Memory

Imaoka¹,

Higashi²,

Shiraiwa³

et al. 2009

jjap

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In standard quantum mechanics, it is not possible to directly extend the Schrödinger equation to spinors, so the Pauli equation must be derived from the Dirac equation by taking its non-relativistic limit. Hence, it predicts the existence of an intrinsic magnetic moment for the electron and gives its correct value. In the scale relativity framework, the Schrödinger, Klein-Gordon and Dirac equations have been derived from first principles as geodesics equations of a non-differentiable and continuous spacetime. Since such a generalized geometry implies the occurrence of new discrete symmetry breakings, this has led us to write Dirac bi-spinors in the form of bi-quaternions (complex quaternions). In the present work, we show that, in scale relativity also, the correct Pauli equation can only be obtained from a non-relativistic limit of the relativistic geodesics equation (which, after integration, becomes the Dirac equation) and not from the non-relativistic formalism (that involves symmetry breakings in a fractal 3-space). The same degeneracy procedure, when it is applied to the bi-quaternionic 4-velocity used to derive the Dirac equation, naturally yields a Pauli-type quaternionic 3-velocity. It therefore corroborates the relevance of the scale relativity approach for the building from first principles of the quantum postulates and the quantum tools. This also reinforces the relativistic and fundamentally quantum nature of spin, which we attribute in scale relativity to the non-differentiability of the quantum spacetime geometry (and not only of the quantum space). We conclude by performing numerical simulations of spinor geodesics, that allow one to gain a physical geometric picture of the nature of spin.

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