Electronic Transport in Mesoscopic Systems

Electronic Transport in Mesoscopic Systems
Author: Supriyo Datta
Publisher: Cambridge University Press
Total Pages: 398
Release: 1997-05-15
Genre: Science
ISBN: 1139643010

Advances in semiconductor technology have made possible the fabrication of structures whose dimensions are much smaller than the mean free path of an electron. This book gives a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier tunnelling. Other sections include a discussion of optical analogies to mesoscopic phenomena, and the book concludes with a description of the non-equilibrium Green's function formalism and its relation to the transmission formalism. Complete with problems and solutions, the book will be of great interest to graduate students of mesoscopic physics and nanoelectronic device engineering, as well as to established researchers in these fields.

Science and Technology of Mesoscopic Structures

Science and Technology of Mesoscopic Structures
Author: Susumu Namba
Publisher: Springer Science & Business Media
Total Pages: 477
Release: 2013-06-29
Genre: Science
ISBN: 4431669221

The International Symposium on the Science and Technology of Mesoscopic Structures was held at Shin-Kohkaido in Nara from November 6-8, 1991. The symposium was sponsored by the International Institute for Advanced Study and partly by Nara Prefecture, Nara City, Nara Convention Bureau, and the Ministry of Education, Science and Culture of Japan, as well as industrial organizations. We would like to acknowledge the support of the symposium by these or ganizations. The scope of the symposium was planned by the organizing committee to cover outstanding contributors in the fields of (1) ballistic transport, (2) electron wave guides and interference effects, (3) quantum confinement effects, (4) tunneling phenomena, (5) optical nonlinearity, and (6) fabrication technology of meso scopic structures. Twenty-six invited speakers were selected from the United States, Europe, and Japan. In addition twenty-four contributed papers were accepted for presentation at the poster session. These papers are included in the proceedings. We are grateful to the organizing committee, Ms. Y oshiko Kusaki of the Inter national Institute for Advanced Study for the secretarial service, and Dr. Nobuya Mori, Osaka University, for his scientific cooperation. Thanks are also due to the authors and the participants for their contributions to a successful symposium.

Quantum Transport in Mesoscopic Systems

Quantum Transport in Mesoscopic Systems
Author: David Sánchez
Publisher: MDPI
Total Pages: 426
Release: 2021-01-06
Genre: Mathematics
ISBN: 3039433660

Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

Coulomb Interaction and Charging Effects in Conductance of Mesoscopic Quantum Wire Structures

Coulomb Interaction and Charging Effects in Conductance of Mesoscopic Quantum Wire Structures
Author: V. A. Sablikov
Publisher:
Total Pages: 4
Release: 1998
Genre:
ISBN:

Electron transport in a quantun wire structure is investigated with comprehensive account of Coulomb interaction which includes both the direct interaction of electrons with each other and their interaction via the image charges induced on the leads. The Coulomb interaction is shown to change significantly the electron density distribution along the wiw as compared with Luttinger liquid n%odeL Under DC conditions, it causes the charge density to strongly increase near to the contacts with the leads. Together with a proximity effect, this may be a reason of nonuniversal conductance quantization. AC conductance shows a resonant behavior caused by charge waves. The charge wave velocity is renormalized due to the Coulomb interaction in a frequency-dependent manner the velocity increases noticably with decreasing the frequency. In the nonlinear regime, the conductance is significantly affected by the charge stored in the wire.

Mesoscopic Physics and Electronics

Mesoscopic Physics and Electronics
Author: Tsuneya Ando
Publisher: Springer Science & Business Media
Total Pages: 293
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642719767

Semiconductor technology has developed considerably during the past several decades. The exponential growth in microelectronic processing power has been achieved by a constant scaling down of integrated cir,cuits. Smaller fea ture sizes result in increased functional density, faster speed, and lower costs. One key ingredient of the LSI technology is the development of the lithog raphy and microfabrication. The current minimum feature size is already as small as 0.2 /tm, beyond the limit imposed by the wavelength of visible light and rapidly approaching fundamental limits. The next generation of devices is highly likely to show unexpected properties due to quantum effects and fluctuations. The device which plays an important role in LSIs is MOSFETs (metal oxide-semiconductor field-effect transistors). In MOSFETs an inversion layer is formed at the interface of silicon and its insulating oxide. The inversion layer provides a unique two-dimensional (2D) system in which the electron concentration is controlled almost freely over a very wide range. Physics of such 2D systems was born in the mid-1960s together with the development of MOSFETs. The integer quantum Hall effect was first discovered in this system.

Quantum Chaos and Mesoscopic Systems

Quantum Chaos and Mesoscopic Systems
Author: N.E. Hurt
Publisher: Springer Science & Business Media
Total Pages: 362
Release: 1997-02-28
Genre: Mathematics
ISBN: 9780792344599

4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7.

Electronic Quantum Transport in Mesoscopic Semiconductor Structures

Electronic Quantum Transport in Mesoscopic Semiconductor Structures
Author: Thomas Ihn
Publisher: Springer Science & Business Media
Total Pages: 267
Release: 2004-01-08
Genre: Science
ISBN: 0387400966

Opening with a brief historical account of electron transport from Ohm's law through transport in semiconductor nanostructures, this book discusses topics related to electronic quantum transport. The book is written for graduate students and researchers in the field of mesoscopic semiconductors or in semiconductor nanostructures. Highlights include review of the cryogenic scanning probe techniques applied to semiconductor nanostructures.

Handbook of Nanoscience, Engineering, and Technology

Handbook of Nanoscience, Engineering, and Technology
Author: William A. Goddard III
Publisher: CRC Press
Total Pages: 1080
Release: 2007-05-03
Genre: Science
ISBN: 142000784X

The ability to study and manipulate matter at the nanoscale is the defining feature of 21st-century science. The first edition of the standard-setting Handbook of Nanoscience, Engineering, and Technology saw the field through its infancy. Reassembling the preeminent team of leading scientists and researchers from all areas of nanoscience and nanote