In recent years, there has been considerable interest in studying the quantum capacitance (QC) in 2D quantum MOSFETs (QMOSFET) and 1D Nano Wire FET (NWFET) devices of various technologically important materials which find extensive applications in many directions in low dimensional electronics. The 2D and 1D electron statistics in inversion layers of MOSFETs can rather easily be varied by changing the gate voltage which, in turn, brings a change of the surface electric field, the QC depends on the gate-voltage. This first-of-its-kind book deals solely with the QC in 2D MOSFETs of non-linear optical, ternary, quaternary, III-V compounds, II-VI, IV-VI, stressed Kane type, Ge, GaP, Bismuth telluride, Gallium Antimonide and their 1D NWFETs counter parts. The influence of quantizing magnetic field, crossed electric and magnetic fields, parallel magnetic field, have also been considered on the QC of the said devices of the aforementioned materials. The influences of strong light waves and ultra-strong electric field present in nano-devices have also been considered. The accumulation layers of the quantum effect devices of the said materials have also been discussed in detail by formulating the respective dispersion relations of the heavily doped compounds. The QC in 1D MOSFET of the said materials have also been investigated in this context on the basis of newly formulated electron energy spectra in all the cases. The QC in quantum well transistors and magneto quantum well transistors together with CNTFETs have been formulated and discussed in detail along with I-V equations of ballistic QWFETs and NWFETs together with their heavily doped counter parts under different external physical conditions. In this context, experimental determinations are suggested of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length, Elastic Constants and the content of this book finds twenty-two 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.
Sample Chapter(s)
Preface
Chapter 1: The Quantum Capacitance (QC) in 2D Quantum Metal-Oxide-Semiconductor-Field Effect Transistors (QMOSFET) of Nonlinear Optical, Tetragonal, III–V and Optoelectronic Materials
Contents:
- Dedication
- Preface
- Acknowledgments
- About the Authors
- The Quantum Capacitance (QC) in 2D Quantum Metal-Oxide-Semiconductor-Field Effect Transistors (QMOSFET) of Nonlinear Optical, Tetragonal, III–V and Optoelectronic Materials
- The QC in QMOSFETs of Other Important Materials
- The QC in QWT of Important Materials
- The QC in Quantized Transistors (QTs) Under Magnetic Quantization
- The QC in 2D QWTs of Important Materials Under Cross-Fields Configuration
- The QC in 2D MOSFETs of Important Materials Under Cross-Fields Configuration
- The QC in Nanowire (NW) FETs of Important Materials
- The QC in 2D QMOSFETs of Important Materials Under Accumulation Mode of Operation
- The Influence of Magnetic Quantization on the QC in QMOSFETs Operated Under Accumulation Mode
- The QC in 2D MOSFETs of Important Materials Operated Under Accumulation Mode in the Presence of Cross-Fields Configuration
- The QC in Heavily Doped Quantum Well Transistors (HDQWT) of Important Materials
- The QC in Heavily Doped Quantum Well Transistors (HDQWT) Under Magnetic Quantization
- The QC in Heavily Doped Quantum Well Transistors (HDQWT) Under Cross-Fields Configuration
- The QC in Heavily Doped NWFETs of Important Materials
- The QC in Quantized Transistors in the Presence of Strong Light Waves
- The QC in Quantized Transistors in the Presence of Strong Electric Field
- Conclusion and Scope for Future Research
- The Numerical Values of the Energy Band Constants of Few Materials
- The ID–VD Equation for Ballistic NWFETs
- The ID–VD Equation for Ballistic HDNWFETs
- ID–VD Equation for Ballistic MOSFETs
- ID–VD Equation for Ballistic QWFETs
- The ID–VD Equation for Ballistic HDQWFETs
- ID–VD Equation for Ballistic MAGNETO QWFETs
- ID–VD Equation for Ballistic MAGNETO HDQWFETs
- The ID–VD Equation in Magneto MOSFETs
- The Generalized Distribution Functions in Heavily Doped Materials
- Subject Index
- Materials Index
Readership: Graduate students, engineers and professionals in the fields of solid state electronics, materials science, nano-science, nanotechnology and nano materials in general.
Professor Dr Engg. Kamakhya Prasad Ghatak (h-index-35, i-10 index-182, maximum citation of a research paper = 327 & total citations-5739) obtained his D.Phil(Tech)Degree (on the basis of 27 published research papers in eminent SCI journals which is still a record in the Institute of Radio Physics and Electronics) from the University of Calcutta, India, in 1988. He is the first recipient of the Degree of Doctor of Engineering of Jadavpur University, Kolkata in 1991 since the inception of the University in 1955 and in the same year he also received the INSA visiting fellowship to IIT-Kharagpur. In accordance with the analysis of World Ranking of top 2% Scientists as prepared by Stanford University in 2020, USA, (shorturl.at/qHIJ4), Professor K P Ghatak of IEM UEM group stays within less than 1% (0.88) band in the field of Applied Physics. Prof. Ghatak is the principal co-author of more than 200 research papers in SCI Journals and more than 375 research publications in SCOPUS. From the position of Assistant Professor in Calcutta University in 1983 up to Senior Professor and Research Director in NanoTechnology Centre of Excellence in the Institute of Engineering and Management, Kolkata in 2023 he was at the top of the merit lists in all the cases. Prof. Ghatak is the Principal co-author of 8 research monographs on various topics of Nano Technology from Springer-Verlag Germany (Vol.170 in Solid State Science, Vols. 116, 137 and 167 in Materials Science, Vols. 255 and 260 in Tracts in Modern Physics (TMP), 1 in Nano structured Science and Technology series) and 1 book on Electron Statistics from Springer Nature, vols. 1 & 2 in Nanomaterials series of De Gruyter, Germany. He is the solo author of Vols. 262 and 265 in TMP of the Springer-Verlag, Germany and four research monographs (Vols. 7, 8, 14 and 16) in the Series on the Foundations of Natural Science and Technology of World Scientific. He is the Principal Editor of the three edited monographs in the Nanotechnology series of NOVA, USA. This first time achievement of Prof. Ghatak is still a record in West Bengal and owing to the aforementioned contributions of Prof. Ghatak, the IEM/UEM Group, India, his current employer enjoys a unique position among the private academic organizations in India. The score in Vidwan portal unit, of Central Government of India, of Prof. K P Ghatak is 8.9 out of 10, the highest score among the nano-technologists of private engineering colleges and Universities in West Bengal. Prof. Ghatak has successfully supervised more than 50 PhD students in different topics of Nanotechnology and the list includes Director, Vice-Chancellor, Principal, Professor and CEO of different reputed Institutes, Universities, Colleges and private organizations respectively. The AICTE has selected the first R & D project in his life for the best project award in Electronics and second best research project award considering all the branches of Engineering for the year 2006. In 2011, the UGC awarded a research project to him and placed him at the top in the list of awardees. He is the first recipient of the academic excellence award of the University of Engineering & Management, Kolkata from the then Governor of West Bengal in its first convocation in 2017. He is the referee, Editor and Guest Editor of different reputed International Journals. His present research interest is Quantized Structures. Incidentally, from 2015-2017, in accordance with Google Scholar, the number of research publications of Prof. Ghatak in consecutive three years have exceeded one hundred. His brief CV has been enlisted in many biographical references of USA and UK. For more details, please go through the link and he can be goggled in this regard.
Dr Jayita Pal presently Assistant Professor in the Department of Physics of Meghnad Saha Institute of Technology, Kolkata. She obtained her PhD degree in 2010 and is the author of 20 research papers/chapters in eminent journals and edited monographs published from Springer. She has 20 years of teaching experience and her present teaching and research interests are Quantum Mechanics and Quantized Structures respectively. She is a prominent member in the research group of Prof. Ghatak.