Monte Carlo Based Calculation of Transport Parameters for Wide Band Gap Device Simulation

2000 ◽  
Vol 622 ◽  
Author(s):  
E. Bellotti ◽  
M. Farahmand ◽  
H.-E Nilsson ◽  
K. F. Brennan ◽  
P. P. Ruden
Keyword(s):  
Monte Carlo ◽  
Phonon Scattering ◽  
Impact Ionization ◽  
Monte Carlo Model ◽  
Wide Band ◽  
Transport Parameters ◽  
Wide Band Gap ◽  
Wurtzite Phase ◽  
Ensemble Monte Carlo ◽  
Ionization Coefficients

ABSTRACTWe present Monte Carlo based calculations of transport parameters useful in the simulation of III-nitride and SiC based devices. The calculations are performed using a full band ensemble Monte Carlo model that includes numerical formulations of the phonon scattering rates and impact ionization transition rates. Calculations are made for the wurtzite and zincblende phases of GaN, the wurtzite phase of InN, and the 3C (cubic) and 4H phases of SiC. The basic transport parameters determined are saturation drift velocity, and the ionization coefficients as a function of applied electric field. Results from the various materials are finally compared.

scholarly journals Ensemble Monte Carlo Study of Electron Transport in Bulk Indium Nitride

1999 ◽  
Vol 4 (S1) ◽  
pp. 781-786
Author(s):  
E. Bellotti ◽  
B. Doshi ◽  
K. F. Brennan ◽  
P. P. Ruden
Keyword(s):  
Monte Carlo ◽  
Electron Transport ◽  
Model Comparison ◽  
Phonon Scattering ◽  
Impact Ionization ◽  
Indium Nitride ◽  
Monte Carlo Model ◽  
Breakdown Field ◽  
Ensemble Monte Carlo ◽  
Full Band

Ensemble Monte Carlo calculations of electron transport at high applied electric field strengths in bulk, wurtzite phase InN are presented. The calculations are performed using a full band Monte Carlo simulation that includes a pseudopotential band structure, all of the relevant phonon scattering agents, and numerically derived impact ionization transition rates. The full details of the first five conduction bands, which extend in energy to about 8 eV above the conduction band minimum, are included in the simulation. The electron initiated impact ionization coefficients and quantum yield are calculated using the full band Monte Carlo model. Comparison is made to previous calculations for bulk GaN and ZnS. It is found that owing to the narrower band gap in InN, a lower breakdown field exists than in either GaN or ZnS.

Ensemble Monte Carlo Study of Electron Transport in Bulk Indium Nitride

1998 ◽  
Vol 537 ◽  
Author(s):  
E. Bellotti ◽  
B. Doshi ◽  
K. F. Brennan ◽  
P. P. Ruden
Keyword(s):  
Monte Carlo ◽  
Electron Transport ◽  
Model Comparison ◽  
Phonon Scattering ◽  
Impact Ionization ◽  
Indium Nitride ◽  
Monte Carlo Model ◽  
Breakdown Field ◽  
Ensemble Monte Carlo ◽  
Full Band

AbstractEnsemble Monte Carlo calculations of electron transport at high applied electric field strengths in bulk, wurtzite phase InN are presented. The calculations are performed using a full band Monte Carlo simulation that includes a pseudopotential band structure, all of the relevant phonon scattering agents, and numerically derived impact ionization transition rates. The full details of the first five conduction bands, which extend in energy to about 8 eV above the conduction band minimum, are included in the simulation. The electron initiated impact ionization coefficients and quantum yield are calculated using the full band Monte Carlo model. Comparison is made to previous calculations for bulk GaN and ZnS. It is found that owing to the narrower band gap in InN, a lower breakdown field exists than in either GaN or ZnS.

Theoretical Study of Electron Initiated Impact Ionization Rate in Bulk GaN using a Wave Vector Dependent Numerical Transition Rate Formulation

1995 ◽  
Vol 395 ◽  
Author(s):  
J. Kolnik ◽  
I.H. Oguzman ◽  
K.F. Brennan ◽  
R. Wang ◽  
P.P. Ruden
Keyword(s):  
Monte Carlo ◽  
Transition Rate ◽  
Phonon Scattering ◽  
Impact Ionization ◽  
Golden Rule ◽  
Ionization Rate ◽  
Ensemble Monte Carlo ◽  
Bulk Gan ◽  
Impact Ionization Rate ◽  
The Impact

ABSTRACTIn this paper, we present ensemble Monte Carlo based calculations of electron initiated impact ionization in bulk zincblende GaN using a wavevector dependent formulation of the interband impact ionization transition rate. These are the first reported estimates, either theoretical or experimental, of the impact ionization rates in GaN. The transition rate is determined from Fermi’s golden rule for a two-body screened Coulomb interaction using a numerically determined dielectric function as well as by numerically integrating over all of the possible final states. The Monte Carlo simulator includes the full details of the first four conduction bands derived from an empirical pseudopotential calculation as well as all of the relevant phonon scattering mechanisms. It is found that the ionization rate has a relatively "soft" threshold.

Temperature Dependence of Hole Impact Ionization Coefficient in 4H-SiC Photodiodes

2009 ◽  
Vol 615-617 ◽  
pp. 311-314 ◽  
Author(s):  
W.S. Loh ◽  
J.P.R. David ◽  
B.K. Ng ◽  
Stanislav I. Soloviev ◽  
Peter M. Sandvik ◽  
...  
Keyword(s):  
Phonon Scattering ◽  
Impact Ionization ◽  
Positive Temperature Coefficient ◽  
Positive Temperature ◽  
Different Temperatures ◽  
Ionization Coefficients ◽  
Increasing Temperature ◽  
The Impact ◽  
Good Agreement ◽  
Ionization Rates

Hole initiated multiplication characteristics of 4H-SiC Separate Absorption and Multiplication Avalanche Photodiodes (SAM-APDs) with a n- multiplication layer of 2.7 µm were obtained using 325nm excitation at temperatures ranging from 300 to 450K. The breakdown voltages increased by 200mV/K over the investigated temperature range, which indicates a positive temperature coefficient. Local ionization coefficients, including the extracted temperature dependencies, were derived in the form of the Chynoweth expression and were used to predict the hole multiplication characteristics at different temperatures. Good agreement was obtained between the measured and the modeled multiplication using these ionization coefficients. The impact ionization coefficients decreased with increasing temperature, corresponding to an increase in breakdown voltage. This result agrees well with the multiplication characteristics and can be attributed to phonon scattering enhanced carrier cooling which has suppressed the ionization process at high temperatures. Hence, a much higher electric field is required to achieve the same ionization rates.

scholarly journals Monte Carlo Simulation of Hall Effect in n-Type GaN

1999 ◽  
Vol 4 (S1) ◽  
pp. 570-575 ◽  
Author(s):  
J.D. Albrecht ◽  
P.P. Ruden ◽  
E. Bellotti ◽  
K.F. Brennan
Keyword(s):  
Monte Carlo ◽  
Low Temperature ◽  
Monte Carlo Simulations ◽  
Acoustic Phonon ◽  
Phonon Scattering ◽  
Liquid Nitrogen Temperature ◽  
Inelastic Process ◽  
Polar Optical Phonon ◽  
Wurtzite Phase ◽  
Hall Factor

Results of Monte Carlo simulations of electron transport for wurtzite phase GaN in crossed, weak electric and magnetic fields are presented. It is found that the Hall factor, rH = μHall/μdrift, decreases monotonically as the temperature increases from 77K to 400K.The low temperature value of the Hall factor increases significantly with increasing doping concentration. The Monte Carlo simulations take into account the electron-lattice interaction through polar optical phonon scattering, deformation potential acoustic phonon scattering (treated as an inelastic process), and piezoelectric acoustic phonon scattering. Impurity scattering due to ionized and neutral donors is also included, with the latter found to be important at low temperature due to the relatively large donor binding energy which implies considerable carrier freeze-out already at liquid nitrogen temperature. The temperature dependences of the electron concentration, drift mobility, and Hall factor are calculated for donor concentrations equal to 5 × 1016 cm−3, 1017 cm−3, and 5 × 1017 cm−3. The Monte Carlo simulations are compared to classical analytical results obtained using the relaxation-time approximation, which is found to be adequate at low temperatures and sufficiently low carrier concentrations so that inelastic scattering effects due to optical phonons and degeneracy effects are negligible. The influence of dislocations on the Hall factor is discussed briefly.

Full band Monte Carlo simulations of high-field electron transport in wide band-gap semiconductors

2004 ◽  
Vol 19 (4) ◽  
pp. S206-S208 ◽  
Author(s):  
Niels Fitzer ◽  
Angelika Kuligk ◽  
Ronald Redmer ◽  
Martin Städele ◽  
Stephen M Goodnick ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Electron Transport ◽  
Monte Carlo Simulations ◽  
Band Gap ◽  
High Field ◽  
Wide Band ◽  
Wide Band Gap ◽  
Field Electron ◽  
Full Band ◽  
Wide Band Gap Semiconductors

Comparison of Electron and Hole Initiated Impact Ionization in Zincblende and Wurtzite Phase Gallium Nitride

1997 ◽  
Vol 468 ◽  
Author(s):  
E. Bellotti ◽  
I. H. Oguzman ◽  
J. Kölnik ◽  
K. F. Brennan ◽  
R. Wang ◽  
...  
Keyword(s):  
Applied Field ◽  
Impact Ionization ◽  
Full Range ◽  
Wurtzite Phase ◽  
Valence Bands ◽  
Two Phases ◽  
Ionization Coefficients ◽  
Direct Numerical Integration ◽  
Applied Fields ◽  
Ionization Rates

ABSTRACTIn this paper, we present the first calculations of the electron and hole impact ionizatioi coefficients for both wurtzite and zincblende phase GaN as a function of the applied electrii field. The calculations are made using an ensemble Monte Carlo simulator including the ful details of the conduction and valence bands derived from an empirical pseudopotentia calculation. The interband impact ionization transition rates for both carrier species an determined by direct numerical integration including a wavevector dependent dielectric function It is found that the electron and hole ionization coefficients are comparable in zincblende Ga> at an applied field of ∼ 3 MV/cm, yet vary to a slight degree at both higher and lower applied field strengths. In the wurtzite phase, the electron and hole coefficients are comparable at hig] fields but diverge at lower applied fields. The most striking result is that the ionization rates an predicted to be substantially different for both carrier species between the two phases. It i predicted that the ionization rates for both carrier species in the zincblende phase are significanti; higher than in the wurtzite phase over the full range of applied fields examined.

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