HYDRODYNAMIC MODELING OF RF NOISE FOR SILICON-BASED DEVICES

A 2D hydrodynamic model based on modified Langevin forces for terminal current noise in the RF range is presented for Si and SiGe devices, where all transport and noise parameters are generated by full-band Monte Carlo simulations under bulk conditions and stored in lookup tables. Since these tables have to be built only once, the accuracy of the noise model is improved without increasing the CPU time compared to models based on analytical expressions for the parameters. The accuracy of the noise model is assessed by comparison with the Monte Carlo device model and good agreement of both models is found for diffusion and generation noise. The terminal current noise of a realistic SiGe HBT is investigated and it is found that hole diffusion noise has a strong impact on the collector current noise. The limitations of the thermodynamic model, a compact model for noise, are explored by comparison with the hydrodynamic model.

[1]  A. H. Marshak,et al.  Electrical current in solids with position-dependent band structure , 1978 .

[2]  K. M. V. Vliet Markov Approach to Density Fluctuations Due to Transport and Scattering. I. Mathematical Formalism , 1971 .

[3]  Fabrizio Bonani,et al.  An efficient approach to noise analysis through multidimensional physics-based models , 1998 .

[4]  H. Min A unified theory of noise in nondegenerate semiconductors , 1987 .

[5]  Y. Apanovich,et al.  Steady-state and transient analysis of submicron devices using energy balance and simplified hydrodynamic models , 1994, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[6]  Fabrizio Bonani,et al.  Generation–recombination noise modelling in semiconductor devices through population or approximate equivalent current density fluctuations , 1999 .

[7]  S. E. Laux Techniques for small-signal analysis of semiconductor devices , 1985 .

[8]  L. Varani,et al.  Modelling of small-signal response and electronic noise in semiconductor high-field transport , 1997 .

[9]  Geurts,et al.  Failure of extended-moment-equation approaches to describe ballistic transport in submicrometer structures. , 1992, Physical review. B, Condensed matter.

[10]  Bernd Meinerzhagen,et al.  Consistent Hydrodynamic and Monte-Carlo Simulation of SiGe HBTs Based on Table Models the Relaxation Times , 1998, VLSI Design.

[11]  Bernd Heinemann,et al.  High-frequency noise analysis of Si/SiGe heterojunction bipolar transistors , 1996 .

[12]  Christoph Jungemann,et al.  Hierarchical 2-D DD and HD noise simulations of Si and SiGe devices II. Results , 2002 .

[13]  Comparative study of electron transit times evaluated by DD, HD, and MC device simulation for a SiGe HBT , 2001 .

[14]  B. Meinerzhagen,et al.  Hydrodynamic equations for semiconductors with nonparabolic band structure , 1991 .

[15]  Current and number fluctuations in submicron n+nn+ structures , 1993 .

[16]  K. M. van Vliet,et al.  General transport theory of noise in pn junction-like devices—I. Three-dimensional Green's function formulation , 1972 .

[17]  Massimo Rudan,et al.  MULTI‐DIMENSIONAL DISCRETIZATION SCHEME FOR THE HYDRODYNAMIC MODEL OF SEMICONDUCTOR DEVICES , 1986 .

[18]  Jr. F. Branin,et al.  Network sensitivity and noise analysis simplified , 1973 .

[19]  H. Gummel,et al.  Large-signal analysis of a silicon Read diode oscillator , 1969 .

[20]  C. Jungemann,et al.  Analysis of the stochastic error of stationary Monte Carlo device simulations , 2001 .

[21]  Melvin Lax,et al.  Fluctuations from the Nonequilibrium Steady State , 1960 .

[22]  J. Nougier Fluctuations and noise of hot carriers in semiconductor materials and devices , 1994 .

[23]  William Shockley,et al.  Articulated science teaching and balanced emphasis , 1966, IEEE Spectrum.

[24]  Andreas Schüppen SiGe-HBTs for mobile communication , 1999 .

[25]  Young June Park,et al.  An extended proof of the Ramo-Shockley theorem , 1991 .

[26]  J. L. Showell,et al.  A scalable high-frequency noise model for bipolar transistors with application to optimal transistor sizing for low-noise amplifier design , 1997 .

[27]  Bernd Meinerzhagen,et al.  Investigation of the local force approximation in numerical device simulation by full-band Monte Carlo simulation , 2000, 7th International Workshop on Computational Electronics. Book of Abstracts. IWCE (Cat. No.00EX427).

[28]  Sh. Kogan,et al.  Electronic noise and fluctuations in solids , 1996 .

[29]  L. Varani,et al.  Langevin forces and generalized transfer fields for noise modeling in deep submicron devices , 2000 .

[30]  R. Stratton,et al.  Diffusion of Hot and Cold Electrons in Semiconductor Barriers , 1962 .

[31]  John D. Cressler,et al.  A unified approach to RF and microwave noise parameter modeling in bipolar transistors , 2001 .