Advertisement

Resonant Tunneling

Quantum Waveguides of Variable Cross-Section, Asymptotics, Numerics, and Applications

  • Lev Baskin
  • Pekka Neittaanmäki
  • Boris Plamenevskii
  • Oleg Sarafanov

Table of contents

  1. Front Matter
    Pages i-xi
  2. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 1-14
  3. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 15-40
  4. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 41-66
  5. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 67-79
  6. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 81-125
  7. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 127-161
  8. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 163-195
  9. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 197-222
  10. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 223-238
  11. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 239-257
  12. Lev Baskin, Pekka Neittaanmäki, Boris Plamenevskii, Oleg Sarafanov
    Pages 259-270
  13. Back Matter
    Pages 271-275

About this book

Introduction

This volume studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach.

Mathematical models are suggested for the resonant tunneling and develop asymptotic and numerical approaches for investigating the models. Also, schemes are presented for several electronics devices based on the phenomenon of resonant tunneling.

 

Devices based on the phenomenon of electron resonant tunneling are widely used in electronics. Efforts are directed towards refining properties of resonance structures. There are prospects for building new nanosize electronics elements based on quantum dot systems.

 

However, the role of resonance structure can also be given to a quantum wire of variable cross-section. Instead of an "electrode - quantum dot - electrode" system, one can use a quantum wire with two narrows. A waveguide narrow is an effective potential barrier for longitudinal electron motion along a waveguide. The part of the waveguide between two narrows becomes a "resonator" , where electron resonant tunneling can occur. This phenomenon consists in the fact that, for an electron with energy E, the probability T(E) to pass from one part of the waveguide to the other part through the resonator has a sharp peak at E = Eres, where Eres denotes a "resonant" energy. Such quantum resonators can find applications as elements of nanoelectronics devices and provide some advantages in regard to operation properties and production technology.

 

The book is addressed to mathematicians, physicists, and engineers interested in waveguide theory and its applications in electronics.

Keywords

Elements of Nanoelectronics Mathematical Models Quantum Resonators Scattering Matrix Spin-Polarization Waveguides

Authors and affiliations

  • Lev Baskin
    • 1
  • Pekka Neittaanmäki
    • 2
  • Boris Plamenevskii
    • 3
  • Oleg Sarafanov
    • 4
  1. 1.St. Petersburg State University of TelecommunicationsSaint PetersburgRussia
  2. 2.Mathematical Information TechnologyUniversity of JyväskyläJyväskyläFinland
  3. 3.Department of Mathematical PhysicsSt. Petersburg State UniversitySt.PetersburgRussia
  4. 4.Department of Mathematical PhysicsSt. Petersburg State UniversitySt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-15105-2
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-15104-5
  • Online ISBN 978-3-319-15105-2
  • Series Print ISSN 1877-7341
  • Series Online ISSN 1877-735X
  • Buy this book on publisher's site