“…The article proves that if this condition is violated, an anomalous current hump will appear on the characteristic transfer curve, which has not yet been emphasized experimentally (as a note: the current humps reported in experiments [15,[30][31][32][33][34][35] occur at lower drain-source biases, which contradicts the theoretically expected higher drain-source biases, and are thus more likely to be caused by significant gate leakage current rather than excess carriers that are not recombined). Although the final proposal seems natural and has even been assumed in previous literature [9,28,36], the QFLPS approach provides a systematic explanation. More importantly, it provides a phase diagram analysis method for understanding device operation modes, covering both ambipolar and unipolar devices.…”
Two-dimensional material-based field-effect transistors (2DM-FETs) exhibit both ambipolar and unipolar carrier transports. To physically and compactly cover both cases, a quasi-Fermilevel phase space (QFLPS) approach was proposed, but it still involves complicated integration operations. This article aims at improving the numerical efficiency of the QFLPS model by several orders of magnitude so that it can readily be implemented in a standard circuit simulator. We first rigorously derive the integral-free formula for the drain-source current to achieve this goal. Besides computationally benign, it explicitly gives the correlation terms between the electron and hole components. Secondly, to work out the boundary values required by the new expressions, we develop an algorithm for the channel electrostatic potential based on the zerotemperature limit property of the 2DM-FET system. By calibrating the model with the realistic device data of black phosphorus and monolayer molybdenum disulfide FETs, the algorithm is tested against practical cases. Two orders of magnitude improvement in time consumption can be achieved compared with the integral-form QFLPS approach, and it is even four orders of magnitude faster than the traditional continuity-equation based approach.
“…The article proves that if this condition is violated, an anomalous current hump will appear on the characteristic transfer curve, which has not yet been emphasized experimentally (as a note: the current humps reported in experiments [15,[30][31][32][33][34][35] occur at lower drain-source biases, which contradicts the theoretically expected higher drain-source biases, and are thus more likely to be caused by significant gate leakage current rather than excess carriers that are not recombined). Although the final proposal seems natural and has even been assumed in previous literature [9,28,36], the QFLPS approach provides a systematic explanation. More importantly, it provides a phase diagram analysis method for understanding device operation modes, covering both ambipolar and unipolar devices.…”
Two-dimensional material-based field-effect transistors (2DM-FETs) exhibit both ambipolar and unipolar carrier transports. To physically and compactly cover both cases, a quasi-Fermilevel phase space (QFLPS) approach was proposed, but it still involves complicated integration operations. This article aims at improving the numerical efficiency of the QFLPS model by several orders of magnitude so that it can readily be implemented in a standard circuit simulator. We first rigorously derive the integral-free formula for the drain-source current to achieve this goal. Besides computationally benign, it explicitly gives the correlation terms between the electron and hole components. Secondly, to work out the boundary values required by the new expressions, we develop an algorithm for the channel electrostatic potential based on the zerotemperature limit property of the 2DM-FET system. By calibrating the model with the realistic device data of black phosphorus and monolayer molybdenum disulfide FETs, the algorithm is tested against practical cases. Two orders of magnitude improvement in time consumption can be achieved compared with the integral-form QFLPS approach, and it is even four orders of magnitude faster than the traditional continuity-equation based approach.
“…Parts a and b of Figure represent the explicit SPs evaluated at the source side (ψ ss,hetro ) and drain side (ψ sd,hetero ) for a MoS 2 /WSe 2 dual-channel heterostructure ISFET. The existence of a dual channel in a heterostructure ISFET necessitates including the contribution of both the electron and hole currents I ds,e and I ds,h in the final current expression of heterostructure ISFETs. − Depending on the dominance of the carriers (electrons or holes) in the channel, the corresponding current expression for the heterostructure ISFETs reduces to either the electron or hole current. The ambipolar drain current in the heterostructure ISFETs ( I ds,hetero ) can be captured asIds,hetero=f(Qse,Qsh)(Ids,eμeff,e+Ids,hμeff,h)wheref(Qse,Qsh)=Qseμeff,normale+Qshμeff,normalhQse+Qshwhere I ds,e ( I ds,h ) is the drain current due to electrons (holes) flowing in the heterostructure ISFETs, μ eff,e (μ eff,h ) is the electron (hole) effective mobility, and Q se ( Q sh ) represents the electron (hole) charge density.…”
Section: Model Descriptionmentioning
confidence: 99%
“…Another approach for obtaining the super-Nernstian response in DG-ISFETs, which is independent of the gate–insulator thickness is by establishing the van der Waals vertical heterostructures between different TMDs. − The use of an atomically thin 2D-heterostructure channel eliminates the need for a thicker back-gate oxide required for attaining high sensitivity in DG-ISFETs, enabling these heterostructure ISFETs to be more suitable for ultrascaled point-of-care (POC) diagnostic applications. The compact models for 2D-material FETs − cannot be used to predict the behavior of such ion-sensing 2D-FETs in electrochemical environments, and an in-depth comprehension of the underlying physics governing these 2D-ISFETs necessitates the development of new accurate device physics-based models. The existing body of literature on the compact models for 2D-ISFETs remains notably scarce.…”
In this work, we introduce a surface-potential (SP)-based compact model designed for two-dimensional (2D)-material-based pHsensitive field-effect transistors (FETs). To address device electrostatics toward the electrolyte side, we employ Poisson's equation, site-binding theory, and the Gouy−Chapman−Stern approach. Simultaneously, electrostatics in the channel are handled by integrating 2D density of states and Fermi−Dirac statistics. Our model builds upon our previous work, where we extensively demonstrated a Verilog-A implementation of a physics-based 2D-material FET model, which yielded explicit SP expressions achieved through the Lambert-W function and Halley's correction method. Additionally, the model computes the drain current by using the driftdiffusion transport model. The explicit nature of our model renders it suitable for SPICE-circuit simulation. Validation of our model is conducted using experimental data from ion-sensitive field-effect transistors (ISFETs) based on various transition-metal dichalcogenide (TMD) materials. The model is also extended to capture the behavior of heterostructure ISFETs wherein a vertical heterostructure is established between different TMD materials. The results demonstrate a high level of agreement between the experimental data and our model predictions, underscoring the model's accuracy. This model holds promise for practical applications, particularly in the realm of pH sensing using 2D-nanomaterial FETs.
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