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3 Acknowledgment

First and foremost I want to express my deepest appreciation to my supervisor Prof. Tibor Grasser. For me he is an inspiring example for a researcher thoroughly investigating the facts. I would like to thank Tibor for supporting me with patience and advice any time. Furthermore, I am grateful for giving me the freedom to developed our own experimental equipment and to setup our own lab, which I enjoyed every day anew.

I want to thank Prof. Erasmus Langer and Prof. Siegfried Selberherr for providing the excellent working conditions at such a prestigious place. The magnificent support of Manfred Katterbauer and Ewald Haslinger during construction of our own electronic laboratory is gratefully acknowledged. Furthermore, Johann Cervenka has always found time to solve the weirdest IT related problems.

The first years being a PhD student would not have been memorable without my former room mates Paul-Jürgen Wagner, Franz Schanovsky and Wolfgang Gös. It was Paul and Franz who introduced me to the research field of device reliability. Furthermore, a countless number of detailed discussions with Paul on circuit engineering significantly improved my later work. I want to thank Wolfgang for his patience and support during writing of my first publications. Next to Tibor, Gerhard Rzepa, Alexander Grill and Bianka Ullmann provided valuable feedback while suffering as beta-testers of the developed measurement setup. Furthermore, together with Markus Jech and Stanislav Tyaginov, they improved this thesis by carefully correcting it. I want to express special thanks to Gerhard and Alexander for introducing me to the theory of defect modeling and setting up the device simulations.

Without the support of the Institute of Sensor and Actuator Systems, lead by Prof. Ulrich Schmid, the assembly of the first mechanical prototypes would not have been possible. In that context I am grateful for the support of Franz Prewein. Regarding sample preparation, the assistance of Michael Buchholz, Patrick Meyer and Arthur Jachimowicz is appreciated.

At this point I want to thank Hans Reisinger and Karina Rott (Infineon Munich, Germany), Ben Kaczer, Jacopo Franco and Marko Simicic (IMEC Leuven, Belgium) for our successful cooperation during the last years.

Since the last three years the lunch breaks shared with the “Team Cooking” were a daily highlight. Regular discussions about life beyond our research activities while enjoying varieties of pasta and curry made for a welcome change.

Last but not least I want to express my deepest graduate to my parents Michaela and Ernst. Without their financial and emotional support I would not have been able to study at a technical university. Special thanks go to my sister Magdalena and brother Bernhard, recently pushing ourselves to successfully participate at the \( 33^{\mathrm {th}} \) Vienna City Marathon. I am deeply grateful to my uncle Manfred Schwanninger, who besides his extraordinary commitment to research, always supported me. Much to my regret Manfred was not allowed to share the finalization of this thesis with us. Finally, I want to thank Elisabeth for her patience and understanding for the numerous hours spent at the Institute.

List of Symbols

Physical Quantities

Symbol Unit Description
(math image) 1 Occupancy
(math image) m\( ^2 \) Gate area of pMOSFET
(math image) m\( ^2 \) Gate area of nMOSFET
(math image) F Drain-gate capacitance of a MOSFET
(math image) F Drain-source capacitance of MOSFET
(math image) eV/[a.u.]\( ^2 \) Curvature of potential energy surface of state 1
(math image) eV/[a.u.]\( ^2 \) Curvature of potential energy surface of state 2
(math image) F Oxide capacitance
(math image) cm\( ^{-3} \) Change of the interface charge density
(math image) cm\( ^{-3} \) Change of the oxide charge density
(math image) cm\( ^{-3} \) Change of the interface trap density
(math image) cm\( ^{-3} \) Change of the oxide charge density
(math image) C Change of the interface charge
(math image) C Change of the oxide charge
(math image) cm\( ^{-3} \) Interface charge density
(math image) V Input voltage range
(math image) V Voltage resolution
(math image) V Threshold voltage shift
(math image) 1 Relative permitivity
(math image) 1 Relative permitivity of (math image)
(math image) F/m Permitivity of the gate dielectrics
(math image) eV NMP barrier for charge capture
(math image) eV NMP barrier for charge emission
(math image) 1 Relative permitivity of silicon
(math image) 1 Relative permitivity of (math image)
(math image) V Average step height of defect in large-area transistor
(math image) V Average step height of defect in nanoscale transistor
(math image) eV Activation energy
(math image) eV Activation energy of charge capture
(math image) eV Activation energy of charge emission
(math image) eV Fermi-level
(math image) V/m Electric oxide field
(math image) V/m Effective electric oxide field during stress
(math image) eV Defect trap level
(math image) 1 Occupancy of oxide traps
(math image) Hz Sampling frequency
(math image) Hz Maximum frequency
(math image) Hz Maximum sampling frequency
(math image) S Transconductance
(math image) cm\( ^{-3} \) interfacial hydrogen concentration
(math image) A Channel conduction current
(math image) A Drain current
(math image) A Drain current in the linear regime
(math image) A Gate current
(math image) A Input current
(math image) A Maximum current
(math image) A Reference current
(math image) A Short-circuit current
(math image) 1/s Transition rate between state 1 and state 2
(math image) 1/s Transition rate between state 2 and state 1
(math image) 1/s Transition rate between state \( i \) and state \( j \)
(math image) 1/s Hydrogen dimmerization rate
(math image) 1/2 Hydrogen atomization rate
(math image) 1/s Reaction-diffusion model forward reaction rate
(math image) 1/s Reaction-diffusion model backward reaction rate
\( L \) m MOSFET gate length
(math image) cm\( ^2 \)/(Vs) Effective channel mobility
(math image) 1/s Attempt frequency
(math image) 1 Number of emission events
(math image) cm\( ^{-3} \) Initial interface state density
(math image) cm\( ^{-3} \) Interface state density
(math image) 1 Number of measured recovery traces
(math image) cm\( ^{-3} \) pMOSFET trap density
(math image) cm\( ^{-3} \) nMOSFET trap density
(math image) 1 Number of active defects
(math image) 1 Number of active defects in large-area devices
(math image) 1 Number of active defects in nanoscale devices
(math image) cm\( ^{-3} \) Total dopand concentration
(math image) V Channel surface potential
(math image) V Position dependent potential drop across the gate stack during
recovery
(math image) V Position dependent potential drop across the gate stack during
stress
(math image) V Permanent component of the threshold voltage shift
(math image) V Average permanent threshold voltage shift
(math image) V Maximum of the permanent threshold voltage shift
(math image) V Minimum of the permanent threshold voltage shift
(math image) a.u. Reaction coordinate of state 1
(math image) a.u. Reaction coordinate of state 2
(math image) a.u. Difference between reaction coordinates of state 1 and state 2
(math image) a.u. Difference between reaction coordinates of state 1 and state 2
(math image) \( \Omega \) Reference resistor
(math image) V\( ^{-1} \) Variance of the threshold voltage
(math image) s Charge capture time
(math image) s Charge capture time at low bias
(math image) s Charge capture time at high bias
(math image) s Charge emission time
(math image) s Charge emission time at low bias
(math image) s Charge emission time at high bias
(math image) s Voltage pulse duration
(math image) m Effective oxide thickness
(math image) s Signal fall time
(math image) m Oxide thickness
(math image) m Thickness of (math image) layer
(math image) s Measurement window
(math image) s Duration of voltage pulse
(math image) m Thickness of (math image) layer
(math image) s Signal rise time
(math image) s Recovery time
(math image) s Maximum recovery time
(math image) s Stress time
(math image) s Effective stress time
(math image) m Thickness of the Si cap layer
(math image) m Thickness of the SiGe layer
(math image) s Switching time
(math image) eV Energy barrier height
(math image) eV Energy level of state 1
(math image) eV Energy level of state 2
(math image) eV Energy difference between state 1 and state 2
(math image) eV Energy difference between state 2 and state 1
(math image) V Bulk voltage
(math image) V Nominal operation voltage
(math image) V Drain voltage
(math image) V Drain voltage of MOSFETs which are not accessed
(math image) V Drain recovery voltage
(math image) V Drain stress voltage
(math image) V Gate voltage of pMOSFETs which are not accessed
(math image) V Gate voltage of pMOSFETs which are not accessed
(math image) V Gate voltage
(math image) V Down sweep of the gate voltage
(math image) V Up sweep of the gate voltage
(math image) V Gate overdrive voltage
(math image) V Gate recovery voltage
(math image) V Gate stress voltage
(math image) V Input voltage
(math image) V Maximum voltage
(math image) V Offset voltage
(math image) V Output voltage
(math image) V Voltage of voltage pulse
(math image) V Reference voltage
(math image) V Source voltage
(math image) V Threshold voltage
\( W \) m MOSFET gate width
(math image) m Trap spatial position

Constants

\( \kB \) Boltzmann’s constant 1.380 662 × 10−23/(J K)
\( q \) Elementary charge 1.602 189 2 × 10−19 C
\( \epsilon _0 \) Vacuum Permitivity 8.854 187 817 × 10−12 F/m

Acronyms

  • ADC Analog to Digital Converter

  • AER Active Energy Region

  • aRTN Anomalous Random Telegraph Noise

  • BCSUM Bootstrapping and Cumulative Sum

  • BTI Bias Temperature Instabilities

  • CCDF Complementary Cumulative Distribution Function

  • CCU Current Convert Unit

  • CDF Cumulative Distribution Function

  • CET Capture Emission Time

  • CMOS Complementary Metal-Oxide-Semiconductor

  • CP Charge Pumping

  • CSUM Cumulative Sum

  • CV Capacitance-Voltage

  • DAC Digital to Analog Converter

  • DAU Data Aquisition Unit

  • DCIV Direct Current Voltage

  • DCU Device Connector Unit

  • DFT Density Functional Theory

  • DLTS Deep Level Transient Spectroscopy

  • DSO Digital Storage Oscilloscope

  • DUT Device Under Test

  • DW Double Well

  • EOT Effective Oxide Thickness

  • EPR Electronic Paramagnetic Resonanz

  • EEPROM Electrically Erasable Programmable Read-Only-Memories

  • ESR Electronic Spin Resonanz

  • FET Field-Effect Transistor

  • GaN Galiumnitride

  • HCD Hot Carrier Degradation

  • HEMT High-Electron-Mobility Transistor

  • HKMG High-k Metal Gate

  • HMM Hidden Markov Model

  • HR Hydrogen Release

  • LER Line Edge Roughness

  • MGR Metal Grain Roughness

  • MOS Metal-Oxide-Semiconductor

  • MOSFET Metal-Oxide-Semiconductor Field-Effect Transistor

  • MOSHEMT Metal-Oxide-Semiconductor High-Electron-Mobility Transistor

  • MPE Multiphonen Emission

  • MPFAT Multiphonon-Field-Assisted Tunneling

  • MSM Measure-Stress-Measure

  • nMOSFET N-Channel MOSFET

  • NBTI Negative Bias Temperature Instabilities

  • NMP Non-Radiative Multiphonon

  • OPAMP Operational Amplifier

  • OTF On-the-Fly

  • PBTI Positive Bias Temperature Instabilities

  • PDF Probability Distribution Function

  • PGU Pulse GeneratorUnit

  • pMOSFET P-Channel MOSFET

  • PSU Power Supply Unit

  • QM Quantum-Mechanical

  • RD Reaction-Diffusion

  • RDD Random Discrete Dopand

  • RTN Random Telegraph Noise

  • RTS Random Telegraph Signal

  • SCU Source Converter Unit

  • SDR Spin Dependent Recombination

  • SiGe Silicon-Germanium

  • SILC Stress Induced Leackage Current

  • SMU Source Measure Unit

  • SRAM Static Random Access Memory

  • TAT Trap Assisted Tunneling

  • TCAD Technology Computer Aided Design

  • TDDS Time-Dependent Defect Spectroscopy

  • TMI Time-Dependent Defect Spectroscopy Measurement Instrument

  • UFSP Ultra Fast Single-Pulse

  • UPS Uninteruptable Power Supply

  • VU Voltage Unit

  • VLSI Very Large Scale Integrated

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