In the last three decades, the electronic industry has registered a tremendous progress. The continuous and aggressive downsizing of the transistor feature sizes (CMOS scaling) has been the main driver of the astonishing growth and advancement of microelectronic industry. Currently, the CMOS scaling is almost reaching its limits. The gate oxide is now only a few atomic layers thick, and this extremely thin oxide causes a huge leakage current through the oxide. Therefore, a further reduction of the gate oxide thickness is extremely difficult and new materials with higher dielectric constant are being explored. However, the phenomena of oxide breakdown and reliability are still serious issues in these thin oxides. Oxide breakdown exhibits a soft breakdown behavior at low voltages, and this is posing as one of the most crucial reliability issues for scaling of the ultra-thin oxides. In addition, the stress-induced leakage current (SILC) due to oxide has emerged as a scaling problem for the non-volatile memory technologies. In this dissertation, a percolation modeling approach is introduced to study and understand the dramatic changes in the conductivity of a disordered medium. Two different simulation methods of percolative conduction, the site and bond percolation, are studied here. These are used in simulating the post-breakdown conduction inside the oxide. Adopting a Monte-Carlo method, oxide breakdown is modeled using a 2-D percolation theory. The breakdown statistics and post-breakdown characteristics of the oxide are computed using this model. In this work, the effects of different physical parameters, such as dimension and the applied stress are studied. The simulation results show that a thinning of oxide layer and increasing the oxide area result in softening of breakdown. It is observed that the breakdown statistics appear to follow Weibull characteristics. As revealed by simulations, the Weibull slope changes linearly with oxide thickness, while not having a significant change when the area is varied and when the amount of the applied stress is varied. It is shown that the simulation results are well correlated with the experimental data reported in the literature. In this thesis, studying the conduction through the oxide using percolation model, it was discovered that a critical or a quasi-critical phenomenon occurs depending on the oxide dimensions. The criticality of the phase-transition results in a hard breakdown while the soft breakdown occurs due to a quasi-critical nature of percolation for ultra-thin oxides. In the later part of the thesis, a quantum percolation model is studied in order to explain and model the stress induced leakage current. It is explained that due to the wave nature of electrons, the SILC can be modeled as a tunneling path through the stressed oxide with the smaller tunneling threshold compared to the virgin oxide. In addition to the percolation model, a Markov chain theory is introduced to simulate the movement of electron as a random walk inside the oxide, and the breakdown is simulated using this random-walk of electron through the accumulated traps inside the oxide. It is shown that the trapping-detrapping of electrons results in an electrical noise in the post-breakdown current having 1/f noise characteristics. Using simulation of a resistor network with Markov theory, the conductance of the oxide is computed. An analytical study of a 2-D site percolation system is conducted using recursive methods and useful closed-form expressions are derived for specialized networks.

In the last three decades, the electronic industry has registered a tremendous progress. The continuous and aggressive downsizing of the transistor feature sizes (CMOS scaling) has been the main driver of the astonishing growth and advancement of microelectronic industry. Currently, the CMOS scaling is almost reaching its limits. The gate oxide is now only a few atomic layers thick, and this extremely thin oxide causes a huge leakage current through the oxide. Therefore, a further reduction of the gate oxide thickness is extremely difficult and new materials with higher dielectric constant are being explored. However, the phenomena of oxide breakdown and reliability are still serious issues in these thin oxides. Oxide breakdown exhibits a soft breakdown behavior at low voltages, and this is posing as one of the most crucial reliability issues for scaling of the ultra-thin oxides. In addition, the stress-induced leakage current (SILC) due to oxide has emerged as a scaling problem for the non-volatile memory technologies. In this dissertation, a percolation modeling approach is introduced to study and understand the dramatic changes in the conductivity of a disordered medium. Two different simulation methods of percolative conduction, the site and bond percolation, are studied here. These are used in simulating the post-breakdown conduction inside the oxide. Adopting a Monte-Carlo method, oxide breakdown is modeled using a 2-D percolation theory. The breakdown statistics and post-breakdown characteristics of the oxide are computed using this model. In this work, the effects of different physical parameters, such as dimension and the applied stress are studied. The simulation results show that a thinning of oxide layer and increasing the oxide area result in softening of breakdown. It is observed that the breakdown statistics appear to follow Weibull characteristics. As revealed by simulations, the Weibull slope changes linearly with oxide thickness, while not having a significant change when the area is varied and when the amount of the applied stress is varied. It is shown that the simulation results are well correlated with the experimental data reported in the literature. In this thesis, studying the conduction through the oxide using percolation model, it was discovered that a critical or a quasi-critical phenomenon occurs depending on the oxide dimensions. The criticality of the phase-transition results in a hard breakdown while the soft breakdown occurs due to a quasi-critical nature of percolation for ultra-thin oxides. In the later part of the thesis, a quantum percolation model is studied in order to explain and model the stress induced leakage current. It is explained that due to the wave nature of electrons, the SILC can be modeled as a tunneling path through the stressed oxide with the smaller tunneling threshold compared to the virgin oxide. In addition to the percolation model, a Markov chain theory is introduced to simulate the movement of electron as a random walk inside the oxide, and the breakdown is simulated using this random-walk of electron through the accumulated traps inside the oxide. It is shown that the trapping-detrapping of electrons results in an electrical noise in the post-breakdown current having 1/f noise characteristics. Using simulation of a resistor network with Markov theory, the conductance of the oxide is computed. An analytical study of a 2-D site percolation system is conducted using recursive methods and useful closed-form expressions are derived for specialized networks.

Ce manuscrit expose des travaux effectués entre 1994 et 2004 sur la fiabilité des composants à base de structures MOS et la fiabilité des oxydes ultra-minces de SiO2 (<10nm) utilisés comme isolant de grille dans ces composants. Nous avons établi un lien entre courants de fuite dans l'oxyde (SILC) et injection de porteurs chauds, principalement les trous chauds, dans les oxydes de 3.8 et 4.7nm. La dépendance en champ et en température du SILC soutient un modèle d'effet tunnel assisté par des défauts neutres barycentriques dans l'oxyde, même si une composante partielle de type Schottky est identifiable. Pour les claquages de type Soft-breakdown relevés, nous avons proposé un modèle simple, fondé sur un rétrécissement local de l'épaisseur d'oxyde. Le phénomène LVSILC, typique de la structure MOS en déplétion, est mis en évidence suite à des stress à tension constante pour des oxydes entre 2.5 et 1.2 nm. Nous proposons de l'interpréter comme un effet tunnel assisté par des niveaux proches des bandes de conduction ou de valence de la densité d'états d'interface. Les mécanismes de génération sont principalement déterminés par l'énergie des porteurs injectés (y compris dans le cas d'injections de porteurs chauds), et génèrent une loi d'accélération en VG pour le vieillissement en mode tunnel direct. On établit une loi générale, donnant la probabilité de création de défauts en fonction des paramètres qui déterminent l'énergie des porteurs injectés. <br />Nos études sur les porteurs chauds nous ont aussi amené à étudier la fiabilité de transistor MOSFET lors de contraintes dynamiques (AC), caractéristiques des séquences de polarisation en mode normal de fonctionnement. Le résultat pratique de ce travail est la mise en oeuvre d'une méthodologie s'inspirant de l'hypothèse quasi-statique pour la prévision des durées de vie AC. Cette méthodologie, éprouvée et comparée aux résultats de mesure dans un certains nombre de cas où sa validité est reconnue, est appliquée au cas plus complexe du transistor de passage NMOS. L'accord reste satisfaisant, mais nous avons également mis en évidence les limitations de cette technique lors de séquences faisant intervenir des relaxations, des périodes de dépiégegage ou des dégradations bi-directionnelles.<br />Concernant le lien entre les étapes du procédé et la fiabilité, nous avons étudié l'influence d'une étape d'implantation ionique à haute énergie, qui induit un dégât dans le volume du semi-conducteur détecté électriquement par C(V), mais aussi des courants de fuite similaires au SILC (IILC Implantation Induced Leakage Current). Nous avons mis au point une méthodologie optimisée de détection du Wafer Charging, utilisant des injections très courtes de porteurs chauds (au pic de courant électronique) dans le transistor PMOS. Cette méthode s'est révélée plus sensible et plus révélatrice que les injections pratiquées en régime Fowler-Nordheim ou la simple étude paramétrique pour détecter les défauts latents issus du charging dans les oxydes minces. Enfin, nous avons identifié par DLTS les défauts issus d'une contamination au Fer dans le Silicium (paire Fe-B et Fer interstitiel Fei) et avons observé la re-transformation spontanée du Fei en paire Fe-B en quelques heures.

科学研究費補助金 研究種目:基盤研究(A)(2) 課題番号:13305005 研究代表者:近藤 博基 研究期間:2001-2004年度