Abstract
The degree of complexity of today’s devices makes numerical methods for evaluating their electrical behavior mandatory. The special demands of modeling therefore require a simple formulation of carrier transport containing the essential physics in a way expressible in numerical code. It is often impossible to derive special physical features from first principles, because in the complete system these must be combined with a number of different effects in a nontrivial setting. Figure 1 shows a selected number of physical phenomena that must be included in any realistic simulation of a MOSFET device.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
References
Abricosov A. A., Gorkov L. P., Dzyaloshinski (1963): Methods of Quantum Field Theory in Statistical Physics (revised English translation). Dover Pns, New York.
Barker J. R., Ferry D. K. (1980): Solid State Electr. 23, 519.
Barker J. R., Ferry D. K. (1980): Solid State Electr. 23, 531.
Bordone P., Jacoboni C., Lugli P., Reggiani L., Kocevar P. (1985): Physica 134B, 169.
Davydov A. (1965): Quantum Mechanics. Pergamon, Oxford.
Ferry D. K., Barker J. R. (1980): Solid State Electr. 23, 545.
Fetter L. A., Walecka J. D. (1971): Quantum Theory of Many-Particle Systems. McGraw- Hill, New York.
Frensley W. R. (1986): Phys. Rev. B36, 1570.
Hänsch W. (1985): Phys. Rev. B31, 3504.
Hänsch W, Mahan G. D. (1983a): Phys. Rev. B28, 1902.
Hänsch W., Mahan G. D. (1983b): Phys. Rev. B28, 1886.
Kadanoff L. P., Baym G. (1962): Quantum Statistical Mechanics. Benjamin, New York.
Keldysh L. Y. (1964): Zh. Eksp. Teor. Fiz 47, 1515 [Sov. Phys. JETP 20, 1018 (1965)].
Kittel C. (1967): Quantum Theory of Solids (4th printing). John Wiley, New York.
Kluksdahl N. C., Kirman A. M., Ferry D. K., Ringhofer C. (1989): Phys. Rev. B39, 7720.
Kocevar P. (1985): Physica 134B, 155.
Landau L. D., Lifshitz E. M. (1979): Lehrbuch der Theoretischen Physik, Vol. III— Quantenmechanik, (6 Auflage). Akademie Verlag, Berlin.
Mahan G. D. (1981): Many-Particle Physics. Plenum, New York.
Merzbacher E. (1961): Quantum Mechanics. John Wiley, New York.
Parry W. E. (1973): The Many-Body Problem. Clarendon Press, Oxford.
Pathria R. K. (1972): Statistical Mechanics. International Series in Natural Philosophy Vol. 45. Pergamon, Oxford.
Rammer J., Smith H. (1986): Rev. Modern Phys. 58, 323.
Wigner E. (1932): Phys. Rev. 40, 749.
Other Textbooks of General Interest
Ashcraft N. W., Mermin N. D. (1976): Solid State Physics. Holt, Rinehart and Winston, New York.
Callaway J. (1976): Quantum Theory of Solids (Student Edition). Academic Press, New York.
Haug A. (1972): Theoretical Solid State Physics Vols. I & II. International Series of Monographs in Natural Philosophy Vol. 36. Pergamon Press, Oxford.
Landau L. D., Lifshitz E. M. (1979): Lehrbuch der theoretischen Physik, Vol. V & IV— Statistische Physik ( 5. Auflage). Akademie Verlag, Berlin.
Seeger K. (1985): Semiconductor Physics. Springer Series in Solid State Science Vol. 40. Springer, Berlin.
Sze S. M. (1981): Physics of Semiconductor Devices ( 2nd edition ). John Wiley, New York.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag/Wien
About this chapter
Cite this chapter
Hänsch, W. (1991). Boltzmann’s Equation. In: The Drift Diffusion Equation and Its Applications in MOSFET Modeling. Computational Microelectronics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9095-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-7091-9095-1_1
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-9097-5
Online ISBN: 978-3-7091-9095-1
eBook Packages: Springer Book Archive