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Quantum tunneling and field electron emission theories /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing,
2014.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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. 2.7. 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 tunneling. 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
- 5. WKB method. 5.1. Mathematics ofWKB method. 5.2. Validity. 5.3. Solution of Schrödinger 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
- 7. Non-equilibrium Green's function method. 7.1. Basic physics of non-equilibrium transport problems. 7.2. 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. Julliére model. 8.3. Giant magnetoresistance. 8.4. Spin tunneling in spin-orbital coupling semiconductors. 8.5. Spin polarization. 8.6. Remarks
- 9. Applications. 9.1. Josephson effect. 9.2. Theory of scanning tunneling microscopy. 9.3. Conductance of graphene. 9.4. Charge transfer in DNA. 9.5. Remarks
- Field Electron Emission Theory. 10. Introduction. 10.1. Field electron emission phenomenon. 10.2. Brief history of field electron emission. 10.3. Basic concepts of field electron emission. 10.4. Basic issues of field electron emission. 10.5. Novel phenomena and challenges of field emission
- 11. Theoretical model and methodology. 11.1. Theoretical model of field emission. 11.2. Theoretical methodology. 11.3. Remarks
- 12. Fowler-Nordheim theory. 12.1. Assumptions of Fowler-Nordheim theory. 12.2. Fowler-Nordheim theory. 12.3. Remarks. 12.4. Beyond triangular vacuum potential barrier. 12.5. Energy band effect. 12.6. Finite temperature effect. 12.7. Basic characteristic of current-field relation. 12.8. Energy distribution of emission electrons. 12.9. Nottingham effect.
- 13. Field emission from semiconductors. 13.1. Basic properties of semiconductors. 13.2. Model of field emission from semiconductors. 13.3. Supply function density. 13.4. Vacuum potential barrier and transmission coefficient. 13.5. Total energy distribution. 13.6. Basic characteristics of total energy distribution. 13.7. Emission current density
- 14. Surface effects and resonance. 14.1. Field emission model with surface effects. 14.2. Double-barrier vacuum potential and transmission coefficient. 14.3. Total energy distribution. 14.4. Emission current density
- 15. Thermionic emission theory. 15.1. The Richardson theory of thermionic emission. 15.2. Boundary of field emission and thermionic emission
- 16. Theory of dynamical field emission. 16.1. Adiabatic process and dynamic field emission model. 16.2. Supply function and time-dependent transmission coefficient. 16.3. Dynamic total energy distribution. 16.4. Dynamic normal energy distribution. 16.5. Dynamic emission current. 16.6. Quantum tunneling time
- 17. Theory of spin polarized field emission. 17.1. Basic physics of spin polarized field emission. 17.2. Energy band spin-split model. 17.3. Spin-dependent triangular potential barrier model. 17.4. Spin-dependent image potential barrier model. 17.5. Finite temperature effects. 17.6. Comparison of spin polarizations. 17.7. A scheme of pure spin polarized electron emission induced by quantum spin Hall effect. 17.8. Difficulties and possibilities of spin polarized field emission
- 18. Theory of field electron emission from nanomaterials. 18.1. Basic physics of field emission from nanoemitters. 18.2. Formulation of field emission current density. 18.3. Computational framework. 18.4. Special case I: Sommerfeld model. 18.5. Special case II: nanowires. 18.6. Special case III: coupled nanowires. 18.7. Thermionic emission of nanowires. 18.8. Theory of field electron emission from carbon nanotubes. 18.9. Theory of Luttinger liquid field emission
- 19. Computer simulations of field emission. 19.1. Basic idea on computer simulation. 19.2. Formulation of field emission based on non-equilibrium Green's function method. 19.3. Tight-binding approach. 19.4. Cap and doping effects. 19.5. Field penetration effect and field enhancement factor. 19.6. First-principle method
- 20. The empirical theory of field emission. 20.1. The empirical theory of field emission. 20.2. The generalized empirical theory of field emission. 20.3. The empirical theory of thermionic emission. 20.4. Connection between empirical theory and experimental data
- 21. Fundamental physics of field electron emission. 21.1. Field emission behavior and material properties. 21.2. Equilibrium and non-equilibrium currents. 21.3. Many-body effect. 21.4. Coherent and non-coherent emission currents. 21.5. Electron emission mechanism: nano versus bulk effects. 21.6. Universality versus finger effects. 21.7. Open problems and difficulties. 21.8. Perspectives.