d8b59eb31706b865fff77f62b60c0667 pmc_34065014.pdf 5f2e59b9aa6ab7ae7bbfd489e7d1c87b68d62c31 pmc_34065014.pdf 6c3cce8515314144b9655abe15682e69f3a5e183d2b7f0b48159a9c69678f452 pmc_34065014.pdf Title: On the Thermal Models for Resistive Random Access Memory Circuit Simulation Subject: Resistive Random Access Memories (RRAMs) are based on resistive switching (RS) operation and exhibit a set of technological features that make them ideal candidates for applications related to non-volatile memories, neuromorphic computing and hardware cryptography. For the full industrial development of these devices different simulation tools and compact models are needed in order to allow computer-aided design, both at the device and circuit levels. Most of the different RRAM models presented so far in the literature deal with temperature effects since the physical mechanisms behind RS are thermally activated; therefore, an exhaustive description of these effects is essential. As far as we know, no revision papers on thermal models have been published yet; and that is why we deal with this issue here. Using the heat equation as the starting point, we describe the details of its numerical solution for a conventional RRAM structure and, later on, present models of different complexity to integrate thermal effects in complete compact models that account for the kinetics of the chemical reactions behind resistive switching and the current calculation. In particular, we have accounted for different conductive filament geometries, operation regimes, filament lateral heat losses, the use of several temperatures to characterize each conductive filament, among other issues. A 3D numerical solution of the heat equation within a complete RRAM simulator was also taken into account. A general memristor model is also formulated accounting for temperature as one of the state variables to describe electron device operation. In addition, to widen the view from different perspectives, we deal with a thermal model contextualized within the quantum point contact formalism. In this manner, the temperature can be accounted for the description of quantum effects in the RRAM charge transport mechanisms. Finally, the thermometry of conducting filaments and the corresponding models considering different dielectric materials are tackled in depth. Keywords: resistive memories; thermal model; heat equation; thermal conductivity; circuit simulation; compact modeling; resistive switching; nanodevices Author: Juan B. Roldán, Gerardo González-Cordero, Rodrigo Picos, Enrique Miranda, Félix Palumbo, Francisco Jiménez-Molinos, Enrique Moreno, David Maldonado, Santiago B. Baldomá, Mohamad Moner Al Chawa, Carol de Benito, Stavros G. Stavrinides, Jordi Suñé and Leon O. 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FINEOJ+PalatinoLinotype,Italic CID TrueType Identity-H yes yes yes 2020 0 FINEOK+PalatinoLinotype,Italic TrueType WinAnsi yes yes no 2021 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2023-05-27 02:44:45 CEST RepresentationInformation: pmc_34065014.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2023-03-31 12:13:59 CEST Size: 10937662 Format: PDF Version: 1.5 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf PDFMetadata: Objects: 0 FreeObjects: 7 IncrementalUpdates: 0 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: true CenterWindow: false DisplayDocTitle: false NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: ぉのぴひはつふっぴどはのぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸲ Item: Title: きちぴとづねちぴどっちぬぜ〴ぜ〰いづびっひどばぴどはのぜ〴ぜ〰はてぜ〴ぜ〰げげぁきぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ぅててづっぴびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㈮ㄩ‾㸊⡜㌷㙜㌷㝜〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㈮㈩‾㸊⡜㌷㙜㌷㝜〰ぁぜ〴ぜ〰ぎふねづひどっちぬぜ〴ぜ〰ぁばばひはちっとぜ〴ぜ〰てはひぜ〴ぜ〰ぴとづぜ〴ぜ〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㈮㌩‾㸊⡜㌷㙜㌷㝜〰ぅへばぬどっどぴぜ〴ぜ〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴ぜ〰こはぬふぴどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸳⸱ Children: Item: Title: えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㈮㈩‾㸊⡜㌷㙜㌷㝜〰ぁぜ〴ぜ〰ぎふねづひどっちぬぜ〴ぜ〰ぁばばひはちっとぜ〴ぜ〰てはひぜ〴ぜ〰ぴとづぜ〴ぜ〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㈮㌩‾㸊⡜㌷㙜㌷㝜〰ぅへばぬどっどぴぜ〴ぜ〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴ぜ〰こはぬふぴどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸳⸱ Item: Title: ぁぜ〴ぜ〰ぎふねづひどっちぬぜ〴ぜ〰ぁばばひはちっとぜ〴ぜ〰てはひぜ〴ぜ〰ぴとづぜ〴ぜ〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㈮㌩‾㸊⡜㌷㙜㌷㝜〰ぅへばぬどっどぴぜ〴ぜ〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴ぜ〰こはぬふぴどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸳⸱ Item: Title: ぅへばぬどっどぴぜ〴ぜ〰えづちぴぜ〴ぜ〰ぅぱふちぴどはのぜ〴ぜ〰こはぬふぴどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸳⸱ Children: Item: Title: げげぁきぜ〴ぜ〰ぷどぴとぜ〴ぜ〰ちぜ〴ぜ〰ぃべぬどのつひどっちぬぜ〴ぜ〰うどぬちねづのぴぜ〴ぜ〰ぜ〵ぜ〰こぴづちつべ〭こぴちぴづぜ〴ぜ〰くばづひちぴどはの〬ぜ〴ぜ〰ぎはぜ〴ぜ〰えづちぴぜ〴ぜ〰ごひちのびてづひぜ〴ぜ〰ごづひねぜ〵ㅜ〰ぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸳⸲ Item: Title: げげぁきぜ〴ぜ〰ぷどぴとぜ〴ぜ〰ちぜ〴ぜ〰ぃべぬどのつひどっちぬぜ〴ぜ〰うどぬちねづのぴぜ〴ぜ〰ぉのっぬふつどのでぜ〴ぜ〰ちぜ〴ぜ〰えづちぴぜ〴ぜ〰ごひちのびてづひぜ〴ぜ〰ごづひねぜ〴ぜ〰ぜ〵ぜ〰こぴづちつべ〭こぴちぴづぜ〴ぜ〰くばづひちぴどはのぜ〵ㅜ〰ぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸳⸳ Item: Title: げげぁきぜ〴ぜ〰ぷどぴとぜ〴ぜ〰ちぜ〴ぜ〰ごひふのっちぴづつ〭ぃはのづぜ〴ぜ〰ことちばづつぜ〴ぜ〰うどぬちねづのぴぜ〴ぜ〰ぉのっぬふつどのでぜ〴ぜ〰えづちぴぜ〴ぜ〰ごひちのびてづひぜ〴ぜ〰ぃはづててどっどづのぴぜ〴ぜ〰ぜ〵ぜ〰こぴづちつべ〭こぴちぴづぜ〴ぜ〰くばづひちぴどはのぜ〵ㅜ〰ぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸳⸴ Item: Title: げげぁきぜ〴ぜ〰ぷどぴとぜ〴ぜ〰ちぜ〴ぜ〰ごひふのっちぴづつ〭ぃはのづぜ〴ぜ〰ことちばづつぜ〴ぜ〰うどぬちねづのぴぜ〴ぜ〰ぉのっぬふつどのでぜ〴ぜ〰えづちぴぜ〴ぜ〰ごひちのびてづひぜ〴ぜ〰ぃはづててどっどづのぴぜ〴ぜ〰ぜ〵ぜ〰こぴづちつべ〭こぴちぴづぜ〴ぜ〰くばづひちぴどはのぜ〵ㅜ〰ぜ〴ぜ〰ちのつぜ〴ぜ〰ごぷはぜ〴ぜ〰ごづねばづひちぴふひづぜ〴ぜ〰ざちぬふづびぜ〴ぜ〰ぴはぜ〴ぜ〰げづばひづびづのぴぜ〴ぜ〰ぴとづぜ〴ぜ〰ぃうぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰あづとちぶどはひぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獥捴楯渮㈮㐩‾㸊⡜㌷㙜㌷㝜〰ぅのづひでべぜ〴ぜ〰あちぬちのっづぜ〴ぜ〰どのぜ〴ぜ〰ぴとづぜ〴ぜ〰いづぶどっづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸴⸱ Item: Title: ぅのづひでべぜ〴ぜ〰あちぬちのっづぜ〴ぜ〰どのぜ〴ぜ〰ぴとづぜ〴ぜ〰いづぶどっづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸴⸱ Children: Item: Title: こぴづちつべ〭こぴちぴづぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸴⸲ Item: Title: ぎはの〭こぴづちつべ〭こぴちぴづぜ〴ぜ〰ぁばばひはちっとぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸴⸳ Item: Title: ぎはの〭こぴづちつべ〭こぴちぴづぜ〴ぜ〰ぁばばひはちっとぜ〴ぜ〰ぷどぴとぜ〴ぜ〰ごぷはぜ〴ぜ〰いどててづひづのぴぜ〴ぜ〰ごづねばづひちぴふひづびぜ〴ぜ〰ぁびびはっどちぴづつぜ〴ぜ〰ぴはぜ〴ぜ〰ぴとづぜ〴ぜ〰いづぶどっづぜ〴ぜ〰ぜ〵ぜ〰こづっはのつ〭くひつづひぜ〴ぜ〰きづねひどびぴはひぜ〵ㅜ〰ぜ〴〩਼㰠⽓ 䝯呯 䐠⡳畢獵扳散瑩潮⸲⸴⸴ Item: Title: こぐぉぃぅ〭あちびづつぜ〴ぜ〰ぃどひっふどぴちぬぜ〴ぜ〰きはつづぬびぜ〴ぜ〰ぷどぴとぜ〴ぜ〰ごぷはぜ〴ぜ〰はひぜ〴ぜ〰きはひづぜ〴ぜ〰ぃうぜ〴ぜ〰ごづねばづひちぴふひづびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸳ Item: Title: ぇづのづひちぬぜ〴ぜ〰きづねひどびぴはひぜ〴ぜ〰きはつづぬどのでぜ〴ぜ〰うひちねづぷはひにぜ〴ぜ〰ぷどぴとぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ぅててづっぴびぜ〴ぜ〰ぅねばとちびどびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸴ Item: Title: げげぁきぜ〴ぜ〰けふちのぴふねぜ〴ぜ〰ぐはどのぴぜ〴ぜ〰ぃはのぴちっぴぜ〴ぜ〰きはつづぬどので〬ぜ〴ぜ〰ごとづひねちぬぜ〴ぜ〰ぅててづっぴびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸵ Item: Title: ごとづひねはねづぴひべぜ〴ぜ〰はてぜ〴ぜ〰ぃはのつふっぴどのでぜ〴ぜ〰うどぬちねづのぴびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸶ Item: Title: ぃはのっぬふびどはのびぜ〴〩਼㰠⽓ 䝯呯 䐠⡳散瑩潮⸶ Item: Title: げづてづひづのっづび Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: COMITX+CMSY10 FontSubset: true FirstChar: 0 LastChar: 114 FontDescriptor: FontName: COMITX+CMSY10 Flags: Symbolic FontBBox: -29, -960, 1116, 775 FontFile: true Font: BaseFont: SOSTRQ+CMR10 FontSubset: true FirstChar: 40 LastChar: 93 FontDescriptor: FontName: SOSTRQ+CMR10 Flags: Symbolic 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