Quantum tunneling and field electron emission theories / Shi-Dong Liang, Sun Yat-Sen University, China.

Format:

Book

Author/Creator:

Liang, Shi-Dong, author.

Contributor:

Yu, Song, editor.

Series:

Gale eBooks

Language:

English

Subjects (All):

Tunneling (Physics).

Quantum theory.

Electrons--Emission.

Electrons.

Physical Description:

1 online resource (xx, 387 pages) : illustrations (some color)

Place of Publication:

New Jersey : World Scientific, [2014]

Language Note:

English

Summary:

Quantum tunneling is an essential issue in quantum physics. Especially, the rapid development of nanotechnology in recent years promises a lot of applications in condensed matter physics, surface science and nanodevices, which are growing interests in fundamental issues, computational techniques and potential applications of quantum tunneling. The book involves two relevant topics. One is quantum tunneling theory in condensed matter physics, including the basic concepts and methods, especially for recent developments in mesoscopic physics and computational formulation. The second part is the f

Contents:

Preface; Contents; 1. Introduction; Quantum Tunneling Theory; 2. Quantum Physics and Quantum Formalism; 2.1 Quantum Phenomena; 2.2 Quantum Characteristics; 2.3 Quantum Formalism; 2.4 Probability Current and Current Conservation; 2.5 Quantum Physics versus Classical Physics; 2.6 Mesoscopic Physics and Characteristic Length; 2.6.1 Characteristic Length; 2.6.2 Characteristic Transports; 2.7 Mathematics in Classical and Quantum Worlds; 3. Basic Physics of Quantum Scattering and Tunneling; 3.1 Definitions of Quantum Scattering and Tunneling; 3.2 Description of Quantum Scattering and Tunneling

3.3 Basic Physical Quantities in Quantum Tunneling3.3.1 Transmission and Reflection Coefficients; 3.3.2 Conductance: Landauer-Buttiker Formula; 3.3.3 Charge Current; 3.4 Relationships between Transmission Coefficient and Scattering Matrix; 3.5 Basic Properties of Scattering and Transfer Matrices; 3.6 Constraints of Scattering and Transfer Matrices; 4. Wave Function Matching Method; 4.1 Square Barrier Model; 4.2 Asymmetric Square Barrier Model; 4.3 Double Square Barrier Model; 4.4 Multi-Mode Square Barrier Model; 4.5 Triangle Barrier; 4.6 Lattice Models; 4.6.1 One-dimensional Model

4.6.2 Two-chain Model4.6.3 2D Square Lattice; 5. WKB Method; 5.1 Mathematics of WKB Method; 5.2 Validity; 5.3 Solution of Schrodinger Equation; 5.4 Quantum Tunneling; 5.5 Triangle Barrier; 5.6 Triangle and Image Potential Barrier; 6. Lippmann-Schwinger Formalism; 6.1 Lippmann-Schwinger Equation; 6.2 Wave Function and S Matrix; 6.3 Green's Function and T Matrix; 6.4 S Matrix; 6.5 Adiabatic Transport Model; 6.6 Quantum Tunneling in Time-Dependent Barrier; 6.6.1 Floquet Theory; 6.6.2 Time-Dependent Barrier; 7. Non-Equilibrium Green's Function Method

7.1 Basic Physics of Non-Equilibrium Transport Problems7.2 Model of Nanodevices; 7.3 Green's Functions and Self-Energy; 7.4 Spectral Function, Density of States, and Correlation Function; 7.5 Definitions and Relationships; 7.6 Current; 7.7 Tunneling Model and Master Equation; 8. Spin Tunneling; 8.1 Tunneling Magnetoresistance Phenomena; 8.2 Julliere Model; 8.3 Giant Magnetoresistance; 8.4 Spin Tunneling in Spin-Orbital Coupling Semiconductors; 8.4.1 Model and Issue; 8.4.2 Ferromagnetic Nanowires; 8.4.3 Spin-Orbital Coupling Semiconductor; 8.5 Spin Polarization; 8.6 Remarks; 9. Applications

9.1 Josephson Effect9.2 Theory of Scanning Tunneling Microscopy; 9.2.1 Quantum Electron Tunneling and Bardeen's Formula; 9.2.2 Tersoff-Hamann Formula; 9.2.3 Non-Equilibrium Green's Function Method; 9.3 Conductance of Graphene; 9.3.1 Graphene Nanoribbons Model; 9.3.2 Impurity Effects; 9.3.3 Vacancy and Impurity; 9.3.4 Conclusion; 9.4 Charge Transfer in DNA; 9.4.1 G4-DNA Model; 9.4.2 TG4 and Their Classifications; 9.4.3 Anomalous Conductance in NCM(H)TG4; 9.4.4 Topological Structure Transition versus Telomerase Activation and Inhibition; 9.4.5 Conclusion; 9.5 Remarks

Field Electron Emission Theory

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9789814440226

9814440221

OCLC:

869905570