On the need for a tunneling pre-factor in Fowler-Nordheim tunneling theory

Journal of Applied Physics

Volumn 103, Issue 11, 2008, Pages

  Forbes, Richard G ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); ELECTRIC CURRENTS; ELECTRON TUBE DIODES; MATHEMATICAL MORPHOLOGY; NUMERICAL METHODS; STANDARDS; TUNNELING (EXCAVATION);

(E ,2E) THEORY; AMERICAN INSTITUTE OF PHYSICS (AIP); BRILLOUIN; DINGER EQUATION; EXACT SOLUTIONS; FIELD ELECTRON EMISSION (FEE); FOWLER-NORDHEIM; FOWLER-NORDHEIM (FN) TUNNELING; JEFFREYS; PREFACTOR; SMOOTH BARRIERS; TUNNELING BARRIERS; TUNNELING PROBABILITIES;

EXCAVATION;

EID: 45149096818     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2937077     Document Type: Article

References (38)

1. R. H. Fowler and L. W. Nordheim, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1928.0091 119, 173 (1928).
2. R. G. Forbes, J. Vac. Sci. Technol. B JVTBD9 1071-1023 10.1116/1.590588 17, 526 (1999).
3. R. G. Forbes, Surf. Interface Anal. SIANDQ 0142-2421 10.1002/sia.1900 36, 395 (2004).
4. R. G. Forbes and J. H. B. Deane, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.2007.0030 463, 2907 (2007).
5. R. G. Forbes, J. Vac. Sci. Technol. B JVTBD9 1071-1023 10.1116/1.2827505 26, 788 (2008).
6. A. Sommerfeld, Naturwiss. NATWAY 0028-1042 10.1007/BF01505083 15, 825 (1927).
7. A. Sommerfeld and H. Bethe, in Handbuch der Physik, edited by, H. Geiger, and, K. Sheel, (Springer, Berlin, 1933), Vol. 24 / 2, p. 333.
8. N. D. Lang and W. Kohn, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.7.3541 7, 3541 (1973).
9. R. G. Forbes, Ultramicroscopy ULTRD6 0304-3991 10.1016/S0304-3991(99) 00098-4 79, 25 (1999).
10. C. Herring and M. H. Nichols, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.21.185 21, 185 (1949).
11. W. Schottky, Phys. Z. PHZTAO 0369-982X 15, 872 (1914).
12. L. W. Nordheim, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1928.0222 121, 626 (1928).
13. S. C. Lam and R. J. Needs, Appl. Surf. Sci. 76-77, 61 (1994), and references therein. 0169-4332
14. H. Fröman and P. O. Fröman, JWKB Approximation: Contributions to the Theory (North-Holland, Amsterdam, 1965).
15. H. Jeffreys, Proc. London Math. Soc. PLMTAL 0024-6115 s2-23, 428 (1925).
16. G. Wentzel, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01397171 38, 518 (1926).
17. H. A. Kramers, Z. Phys. ZEPYAA 0044-3328 33, 828 (1926).
18. L. Brillouin, Compt. Rend. COREAF 0001-4036 183, 24 (1926).
19. J. Horn, Math. Ann. MAANA3 0025-5831 10.1007/BF01476164 52, 340 (1899).
20. R. H. Fowler, E. G. Gallop, C. N. H. Lock, and H. W. Richmond, Philos. Trans. R. Soc. London, Ser. A 221, 295 (1921), and references therein. 0962-8436
21. J. Heading, An Introduction to Phase-Integral Methods (Methuen, London, 1962).
22. M. V. Berry and K. E. Mount, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/35/1/306 35, 315 (1972).
23. E. L. Murphy and R. H. Good, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.102.1464 102, 1464 (1956).
24. E. C. Kemble, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.48.549 48, 549 (1935).
25. E. C. Kemble, The Fundamental Principles of Quantum Mechanics (McGraw-Hill, New York, 1937).
26. S. C. Miller, Jr. and R. H. Good, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.91.174 91, 174 (1953).
27. L. D. Landau and E. M. Lifschitz, Quantum Mechanics (Pergamon, Oxford, 1958).
28. K. L. Jensen, in Vacuum Microelectronics, edited by, W. Zhu, (Wiley, New York, 2001), Chap..
29. K. L. Jensen, Adv. Imaging Electron Phys. 149, 1 (2007). 1076-5670
30. N. H. Frank and L. A. Young, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.38.80 38, 80 (1931).
31. C. Eckart, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.35.1303 35, 1303 (1930).
32. A. Modinos, Field, Thermionic and Secondary Electron Emission Spectroscopy (Plenum, New York, 1984).
33. E. Guth and C. J. Mullin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.59.575 59, 575 (1941).
34. A. J. Jason, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.156.266 156, 266 (1967).
35. J. W. Gadzuk and E. W. Plummer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.45.487 45, 487 (1973).
36. A. Modinos, Solid-State Electron. SSELA5 0038-1101 10.1016/S0038-1101(00) 00218-5 45, 809 (2001).
37. V. G. Litovchenko, A. A. Evtukh, Yu. M. Litvin, N. M. Goncharuk, and V. E. Chayka, J. Vac. Sci. Technol. B JVTBD9 1071-1023 10.1116/1.590612 17, 655 (1999).
38. K. L. Jensen, J. Vac. Sci. Technol. B JVTBD9 1071-1023 10.1116/1.1573664 21, 1528 (2003).