Quantum Transport in Semiconductors

1. Front Matter

   Pages i-xxi

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2. Principles of Quantum Transport

   • Carlo Jacoboni

   Pages 1-15

3. The Kubo Formula and Linear Response

   • David K. Ferry

   Pages 17-36

4. Path Integral Method: Use of Feynman Path Integrals in Quantum Transport Theory

   • K. K. Thornber

   Pages 37-52

5. Quantum Transport in Solids: The Density Matrix

   • Gerald J. lafrate

   Pages 53-66

6. The Quantum Hall and Fractional Quantum Hall Effects

   • N. d’Ambrumenil

   Pages 67-100

7. Green’s Function Methods: Quantum Boltzmann Equation for Linear Transport

   • Gerald D. Mahan

   Pages 101-140

8. Green’s Function Methods: Nonequilibrium, High-Field Transport

   • Antti-Pekka Jauho

   Pages 141-168

9. Numerical Techniques for Quantum Transport and Their Inclusion in Device Modeling

   • Lino Reggiani

   Pages 169-178

10. Wave Packet Studies of Tunneling through Time-Modulated Semiconductor Heterostructures

    • Antti-Pekka Jauho

    Pages 179-192

11. Tunneling Times in Quantum Mechanical Tunneling

    • M. Jonson

    Pages 193-238

12. Wigner Function Modeling of the Resonant Tunneling Diode

    • A. M. Kriman, N. C. Kluksdahl, David K. Ferry, C. Ringhofer

    Pages 239-287

13. Back Matter

    Pages 289-292

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The majority of the chapters in this volume represent a series of lectures. that were given at a workshop on quantum transport in ultrasmall electron devices, held at San Miniato, Italy, in March 1987. These have, of course, been extended and updated during the period that has elapsed since the workshop was held, and have been supplemented with additional chapters devoted to the tunneling process in semiconductor quantum-well structures. The aim of this work is to review and present the current understanding in nonequilibrium quantum transport appropriate to semiconductors. Gen­ erally, the field of interest can be categorized as that appropriate to inhomogeneous transport in strong applied fields. These fields are most likely to be strongly varying in both space and time. Most of the literature on quantum transport in semiconductors (or in metallic systems, for that matter) is restricted to the equilibrium approach, in which spectral densities are maintained as semiclassical energy­ conserving delta functions, or perhaps incorporating some form of collision broadening through a Lorentzian shape, and the distribution functions are kept in the equilibrium Fermi-Dirac form. The most familiar field of nonequilibrium transport, at least for the semiconductor world, is that of hot carriers in semiconductors.

• Diode
• modeling
• semiconductor
• tunneling

• Center for Solid State Electronics Research, College of Engineering and Applied Sciences, Arizona State University, Tempe, USA

  David K. Ferry

• Dipartimento di Fisica, Università di Modena, Modena, Italy

  Carlo Jacoboni

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