ELECTRON STATISTICS IN QUANTUM CONFINED SUPERLATTICES

The concepts of the Electron Statistics (ES) and the ES dependent electronic properties are basic pillars in semiconductor electronics and this first-of-its-kind book deals with the said concepts in doping superlattices (SLs), quantum well, quantum wire and quantum dot SLs, effective mass SLs, SLs with graded interfaces and Fibonacci SLs under different physical conditions respectively. The influences of intense radiation and strong electric fields under said concepts have been considered together with the heavily doped SLs in this context on the basis of newly formulated the electron energy spectra in all the cases. We have suggested experimental determinations of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length, Elastic Constants and the content of this book finds 25 different applications in the arena of nanoscience and nanotechnology.

This book contains hundred open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers. It is written for post graduate students of various departments of different academic organizations, engineers and professionals in the fields of solid state electronics, materials science, solid state sciences, nano-science, nanotechnology and nano materials in general.

Contents:

• Preface
• Acknowledgements
• About the Authors
• ES in Doping Super-lattices of Non-Parabolic Materials:
  • ES in Doping Super-lattices and Their Quantized Counterparts
• ES in Quantized Super-lattices:
  • The Dispersion Relations in Quantum Well Super-lattices (QWSLs)
  • ES in Quantum Wire Super-lattices (QWSLs)
  • The ES in Quantum Dot SLs
  • ES in SLs under Magnetic Quantization
  • ES in QWSLs under Magnetic Quantization
• ES in SLs having Kane-Type Energy Bands in the Presence of Light Waves:
  • ES under Photo Excitation in SLs Having Kane-Type Energy Bands
• ES in SLs having Kane-Type Energy Bands in the Presence of Electric Field:
  • ES under Electric Field in SLs having Kane Type Energy Bands
• ES in Quantum Confined Heavily Doped (HD) Super-lattices:
  • ES in Doping Super-lattices of Non-Parabolic Semiconductors
  • ES in Doping Super-lattices of HD Non-Parabolic Semiconductors under Magnetic Quantization
• ES in Heavily Doped Quantum Confined Super-lattices:
  • The Dispersion Relations in QWHDSLs
  • The ES in Quantum Wire HDSLs
  • The ES in Quantum Dot HDSLs
  • The ES in HDSLs under Magnetic Quantization
  • The ES in QWHDSLs under Magnetic Quantization
• The ES in HDSLs having Kane-Type Energy Bands in the Presence of Light Waves:
  • The ES under Photo-Excitation in HDSLs having Kane-Type Energy Bands
• ES in HD SLs having Kane-Type Energy Bands in the Presence of Electric Field:
  • ES under Electric Field in HD SLs having Kane-Type Energy Bands
  • ES in Fibonacci Super-lattices
  • Conclusion and Scope for Future Research
• Appendices:
  • The Numerical Values of the Energy Band Constants of Few Materials
  • ES in Super-lattices under Tight Binding Approximations for Different Physical Conditions
  • ES in Heavily Doped Super-lattices under Tight Binding Approximation for Different Physical Conditions
  • The ES in Super-lattices under Tight Binding Approximations in the Presence of Light Waves for Different Physical Conditions
  • ES in HD Super-lattices under Tight Binding Approximations in the Presence of Light Waves for Different Physical Conditions
  • The Generalized Distribution Functions in Heavily Doped Materials

Readership: Suitable for graduate courses on materials science, condensed matter physics, nano-science and technology and solid-state sciences and devices in many Universities and Institutions in addition to both PhD students and researchers in the aforementioned fields.

Key Features:

• This first book solely deals with the Electron Statistics in Quantum Confined Superlattices (SLs) and the SLs considered are doping, quantum well, quantum wire, quantum dot, III-V, II-VI, IV-VI, HgTe/CdTe (both graded interfaces and effective mass) together with their heavily doped counter parts. We have also considered the influences of strong magnetic quantization, electric field and intense radiation on the ES dependent electronic properties of the said SLs having various band structures together with Fibonacci SLs in this context
• Represents a useful reference source for researchers and designers of quantized structures
• Contains twenty five applications with reference to nanostructures
• Discusses the influence of strong external electric field on nano-devices
• Presents the theoretical simulation of nano-electronic device materials in the quantized wave vector space
• This monograph contains 100 open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers. Various expressions and a few chapters of this first monograph have been appearing for the first time in printed form