메뉴 건너뛰기




Volumn 463, Issue 2087, 2007, Pages 2907-2927

Reformulation of the standard theory of Fowler-Nordheim tunnelling and cold field electron emission

Author keywords

Field emission; Field emission elliptic functions; Fowler Nordheim tunnelling

Indexed keywords


EID: 36348936248     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2007.0030     Document Type: Article
Times cited : (344)

References (43)
  • 1
    • 36149027072 scopus 로고
    • The range and validity of the field current equation
    • doi:10.1103/PhysRev.56.113
    • Abbott, F. R. & Henderson, J. E. 1939 The range and validity of the field current equation. Phys. Rev. 56, 113-118. (doi:10.1103/PhysRev.56.113)
    • (1939) Phys. Rev , vol.56 , pp. 113-118
    • Abbott, F.R.1    Henderson, J.E.2
  • 3
    • 84918018451 scopus 로고
    • An investigation of the electron emission from metals in the region of its transition from cold to thermionic emission
    • Andreev, I. S. 1952 An investigation of the electron emission from metals in the region of its transition from cold to thermionic emission. Zh. Tekh. Fiz. 22, 1428-1441.
    • (1952) Zh. Tekh. Fiz , vol.22 , pp. 1428-1441
    • Andreev, I.S.1
  • 4
    • 6344248548 scopus 로고
    • Analytic approximation for the Nordheim function
    • Beilis, I. I. 1971 Analytic approximation for the Nordheim function. High Temp. 9, 157-158.
    • (1971) High Temp , vol.9 , pp. 157-158
    • Beilis, I.I.1
  • 5
    • 85020788859 scopus 로고    scopus 로고
    • Transl
    • [Transl. Teplofizika Vysokikh Temperatur. 9, 184-186.]
    • , vol.9 , Issue.184-186
    • Vysokikh Temperatur, T.1
  • 6
    • 0001138215 scopus 로고
    • Corrected values of Fowler-Nordheim field emission functions v(y) and s(y)
    • doi:10.1103/PhysRev.90.515
    • Burgess, R. F., Kroemer, H. & Houston, J. M. 1953 Corrected values of Fowler-Nordheim field emission functions v(y) and s(y). Phys. Rev. 90, 515. (doi:10.1103/PhysRev.90.515)
    • (1953) Phys. Rev , vol.90 , pp. 515
    • Burgess, R.F.1    Kroemer, H.2    Houston, J.M.3
  • 8
    • 0000853418 scopus 로고
    • A simple method for deriving, from measured I(V) data, information on the geometry of a field emission current source of unknown characteristics
    • doi:10.1063/1.1728859
    • Charbonnier, F. M. & Martin, E. E. 1962 A simple method for deriving, from measured I(V) data, information on the geometry of a field emission current source of unknown characteristics. J. Appl. Phys. 33, 1897-1898. (doi:10.1063/1.1728859)
    • (1962) J. Appl. Phys , vol.33 , pp. 1897-1898
    • Charbonnier, F.M.1    Martin, E.E.2
  • 9
    • 85020831777 scopus 로고    scopus 로고
    • Deane, J. H. B., Forbes, R. G. & Shail, R. W. 2007 Formal derivation of an exact series expansion for the principal field emission elliptic function v. ArXiv: 0708.0996.
    • Deane, J. H. B., Forbes, R. G. & Shail, R. W. 2007 Formal derivation of an exact series expansion for the principal field emission elliptic function v. ArXiv: 0708.0996.
  • 10
    • 0003871879 scopus 로고
    • Emission electronics
    • In Russian, Transl. Israel Programme for Scientific Translations, Jerusalem
    • Dobretsov, L. N. & Gomoyunova, M. V. 1966 Emission electronics. Moscow, Russia: Izdatel'stvo 'Nauka'. [In Russian.] [Transl. Israel Programme for Scientific Translations, Jerusalem, 1971.]
    • (1966) Moscow, Russia: Izdatel'stvo 'Nauka
    • Dobretsov, L.N.1    Gomoyunova, M.V.2
  • 12
    • 33749233571 scopus 로고    scopus 로고
    • Development of Fowler-Nordheim theory for a spherical field emitter
    • doi:10.1103/PhysRevB.72.045420
    • Edgcombe, C. J. 2005 Development of Fowler-Nordheim theory for a spherical field emitter. Phys. Rev. B 72, 045240. (doi:10.1103/PhysRevB.72.045420)
    • (2005) Phys. Rev. B , vol.72 , pp. 045240
    • Edgcombe, C.J.1
  • 13
    • 33645514587 scopus 로고    scopus 로고
    • Properties of a field emitter deduced from curvature of its Fowler-Nordheim plot
    • doi:10.1116/1.2179456
    • Edgcombe, C. J. & de Jonge, N. 2006 Properties of a field emitter deduced from curvature of its Fowler-Nordheim plot. J. Vac. Sci. Technol. B 24, 869-873. (doi:10.1116/1.2179456)
    • (2006) J. Vac. Sci. Technol. B , vol.24 , pp. 869-873
    • Edgcombe, C.J.1    de Jonge, N.2
  • 15
    • 24644491371 scopus 로고    scopus 로고
    • Field emission: New theory for the derivation of emission area from a Fowler-Nordheim plot
    • doi:10.1116/1.590588
    • Forbes, R. G. 1999a Field emission: new theory for the derivation of emission area from a Fowler-Nordheim plot. J. Vac. Sci. Technol. B 17, 526-533. (doi:10.1116/1.590588)
    • (1999) J. Vac. Sci. Technol. B , vol.17 , pp. 526-533
    • Forbes, R.G.1
  • 16
    • 22644451240 scopus 로고    scopus 로고
    • Use of a spreadsheet for Fowler-Nordheim equation calculations
    • doi:10.1116/1.590589
    • Forbes, R. G. 1999b Use of a spreadsheet for Fowler-Nordheim equation calculations. J. Vac. Sci. Technol. B 17, 534-541. (doi:10.1116/1.590589)
    • (1999) J. Vac. Sci. Technol. B , vol.17 , pp. 534-541
    • Forbes, R.G.1
  • 17
    • 0032586239 scopus 로고    scopus 로고
    • The electrical surface as centroid of the surface-induced charge
    • doi:10.1016/S0304-3991(99)00098-4
    • Forbes, R. G. 1999c The electrical surface as centroid of the surface-induced charge. Ultramicroscopy 79, 25-34. (doi:10.1016/S0304-3991(99)00098-4)
    • (1999) Ultramicroscopy , vol.79 , pp. 25-34
    • Forbes, R.G.1
  • 18
    • 3042608069 scopus 로고    scopus 로고
    • Use of energy-space diagrams in free-electron models of field electron emission
    • doi:10.1002/sia.1900
    • Forbes, R. G. 2004 Use of energy-space diagrams in free-electron models of field electron emission. Surf. Interface Anal. 36, 395-401. (doi:10.1002/sia.1900)
    • (2004) Surf. Interface Anal , vol.36 , pp. 395-401
    • Forbes, R.G.1
  • 19
    • 33748706997 scopus 로고    scopus 로고
    • Simple good approximations for the special elliptic functions in the JWKB theory of Fowler-Nordheim tunnelling through a Schottky-Nordheim barrier
    • doi:10.1063/1.2354582
    • Forbes, R. G. 2006 Simple good approximations for the special elliptic functions in the JWKB theory of Fowler-Nordheim tunnelling through a Schottky-Nordheim barrier. Appl. Phys. Lett. 89, 113 122. (doi:10.1063/1.2354582)
    • (2006) Appl. Phys. Lett , vol.89 , pp. 113-122
    • Forbes, R.G.1
  • 20
    • 0035187186 scopus 로고    scopus 로고
    • New results in the theory of Fowler-Nordheim plots and the modelling of hemi-ellipsoidal emitters
    • doi:10.1016/S0304-3991(01)00101-2
    • Forbes, R. G. & Jensen, K. L. 2001 New results in the theory of Fowler-Nordheim plots and the modelling of hemi-ellipsoidal emitters. Ultramicroscopy 89, 17-22. (doi:10.1016/S0304-3991(01)00101-2)
    • (2001) Ultramicroscopy , vol.89 , pp. 17-22
    • Forbes, R.G.1    Jensen, K.L.2
  • 21
    • 0000928931 scopus 로고
    • Electron emission in intense electric fields
    • doi:10.1098/rspa.1928.0091
    • Fowler, R. H. & Nordheim, L. W. 1928 Electron emission in intense electric fields. Proc. R. Soc. A 119, 173-181. (doi:10.1098/rspa.1928.0091)
    • (1928) Proc. R. Soc. A , vol.119 , pp. 173-181
    • Fowler, R.H.1    Nordheim, L.W.2
  • 23
    • 35949027881 scopus 로고
    • Field emission energy distribution (FEED)
    • doi:10.1103/RevModPhys.45.487
    • Gadzuk, J. W. & Plummer, E. W. 1973 Field emission energy distribution (FEED). Rev. Mod. Phys. 45, 487-598. (doi:10.1103/RevModPhys.45.487)
    • (1973) Rev. Mod. Phys , vol.45 , pp. 487-598
    • Gadzuk, J.W.1    Plummer, E.W.2
  • 24
    • 0001710457 scopus 로고
    • Field emission
    • ed. S. Flugge, pp, Berlin, Germany: Springer
    • Good, R. H. & Müller, E. W. 1956 Field emission. In Handbuch der Physik, vol. 21 (ed. S. Flugge), pp. 176-231. Berlin, Germany: Springer.
    • (1956) Handbuch der Physik , vol.21 , pp. 176-231
    • Good, R.H.1    Müller, E.W.2
  • 27
    • 0343321778 scopus 로고
    • The slope of logarithmic plots of the Fowler-Nordheim equation
    • doi:10.1103/PhysRev.88.349
    • Houston, J. M. 1952 The slope of logarithmic plots of the Fowler-Nordheim equation. Phys. Rev. 88, 349. (doi:10.1103/PhysRev.88.349)
    • (1952) Phys. Rev , vol.88 , pp. 349
    • Houston, J.M.1
  • 28
    • 36348953326 scopus 로고
    • International Standard ISO 31-0: Quantities and units
    • ISO, Geneva, Switzerland: International Organization for Standardization ISO
    • ISO 1992 International Standard ISO 31-0: quantities and units. Part 0. General principles. Geneva, Switzerland: International Organization for Standardization (ISO).
    • (1992) General principles , Issue.PART 0
  • 29
    • 84960579248 scopus 로고
    • On certain approximate solutions of linear differential equations of the second order
    • doi:10.1112/plms/s2-23.1.428
    • Jeffreys, H. 1925 On certain approximate solutions of linear differential equations of the second order. Proc. Lond. Math. Soc. 23, 428-436. (doi:10.1112/plms/s2-23.1.428)
    • (1925) Proc. Lond. Math. Soc , vol.23 , pp. 428-436
    • Jeffreys, H.1
  • 30
    • 0000975535 scopus 로고    scopus 로고
    • Exchange correlation, dipole and image-charge potentials for electron sources: Temperature and field dependence of the barrier height
    • doi:10.1063/1.369584
    • Jensen, K. L. 1999 Exchange correlation, dipole and image-charge potentials for electron sources: temperature and field dependence of the barrier height. J. Appl. Phys. 85, 2667-2680. (doi:10.1063/1.369584)
    • (1999) J. Appl. Phys , vol.85 , pp. 2667-2680
    • Jensen, K.L.1
  • 31
    • 0012812122 scopus 로고    scopus 로고
    • Theory of field emission
    • ed. W. Zhu, ch. 3. New York, NY: Wiley
    • Jensen, K. L. 2001 Theory of field emission. In Vacuum microelectronics (ed. W. Zhu), ch. 3. New York, NY: Wiley.
    • (2001) Vacuum microelectronics
    • Jensen, K.L.1
  • 32
    • 0001105739 scopus 로고
    • Numerical simulation of field emission from silicon
    • doi:10.1116/1.586863
    • Jensen, K. L. & Ganguly, A. K. 1993 Numerical simulation of field emission from silicon. J. Vac. Sci. Technol. B 11, 371-378. (doi:10.1116/1.586863)
    • (1993) J. Vac. Sci. Technol. B , vol.11 , pp. 371-378
    • Jensen, K.L.1    Ganguly, A.K.2
  • 34
    • 0000200486 scopus 로고
    • Theory of metal surfaces: Induced surface charge and image potential
    • doi:10.1103/PhysRevB.7.3541
    • Lang, N. D. & Kohn, W. 1973 Theory of metal surfaces: induced surface charge and image potential. Phys. Rev. B 7, 3541-3550. (doi:10.1103/PhysRevB.7.3541)
    • (1973) Phys. Rev. B , vol.7 , pp. 3541-3550
    • Lang, N.D.1    Kohn, W.2
  • 35
    • 33748699317 scopus 로고
    • Values of Fowler-Nordheim emission functions v( y), t( y) and s( y)
    • doi:10.1016/0016-0032(66)90043-3
    • Miller, H. C. 1966 Values of Fowler-Nordheim emission functions v( y), t( y) and s( y). J. Franklin Inst. 282, 382-388. (doi:10.1016/0016-0032(66)90043-3)
    • (1966) J. Franklin Inst , vol.282 , pp. 382-388
    • Miller, H.C.1
  • 36
    • 0019015703 scopus 로고
    • Obtaining numerical values for the elliptic emission functions used in calculating electron emission from surfaces
    • doi:10.1116/1.570543
    • Miller, H. C. 1980 Obtaining numerical values for the elliptic emission functions used in calculating electron emission from surfaces. J. Vac. Sci. Technol. 17, 691-695. (doi:10.1116/1.570543)
    • (1980) J. Vac. Sci. Technol , vol.17 , pp. 691-695
    • Miller, H.C.1
  • 37
    • 0000774673 scopus 로고
    • A WKB-type approximation to the Schrödinger equation
    • doi:10.1103/PhysRev.91.174
    • Miller Jr, S. C. & Good Jr, R. H. 1953 A WKB-type approximation to the Schrödinger equation. Phys. Rev. 91, 174-179. (doi:10.1103/PhysRev.91.174)
    • (1953) Phys. Rev , vol.91 , pp. 174-179
    • Miller Jr, S.C.1    Good Jr, R.H.2
  • 39
    • 36149019114 scopus 로고
    • Thermionic emission, field emission, and the transmission region
    • doi:10.1103/PhysRev.102.1464
    • Murphy, E. L. & Good, R. H. 1956 Thermionic emission, field emission, and the transmission region. Phys. Rev. 102, 1464-1473. (doi:10.1103/PhysRev.102.1464)
    • (1956) Phys. Rev , vol.102 , pp. 1464-1473
    • Murphy, E.L.1    Good, R.H.2
  • 40
    • 0001064454 scopus 로고
    • The effect of the image force on the emission and reflexion of electrons by metals
    • doi:10.1098/rspa.1928.0222
    • Nordheim, L. W. 1928 The effect of the image force on the emission and reflexion of electrons by metals. Proc. R. Soc. A 121, 626-639. (doi:10.1098/rspa.1928.0222)
    • (1928) Proc. R. Soc. A , vol.121 , pp. 626-639
    • Nordheim, L.W.1
  • 41
    • 0001186040 scopus 로고
    • Über den Einfluss von Strukturwirkungen, besonders der Thomsonschen Bildkraft, auf die Elektronenemission der Metalle
    • Schottky, W. 1914 Über den Einfluss von Strukturwirkungen, besonders der Thomsonschen Bildkraft, auf die Elektronenemission der Metalle. Physik. Zeitschr. 15, 872-878.
    • (1914) Physik. Zeitschr , vol.15 , pp. 872-878
    • Schottky, W.1
  • 42
    • 34250924835 scopus 로고
    • Über kalte und warme Elektronentladungen
    • doi:10.1007/BF01340034
    • Schottky, W. 1923 Über kalte und warme Elektronentladungen. Z. Phys. 14, 63-106. (doi:10.1007/BF01340034)
    • (1923) Z. Phys , vol.14 , pp. 63-106
    • Schottky, W.1
  • 43
    • 0017245762 scopus 로고
    • Physical properties of thin-film emission cathodes with molybdenum cones
    • doi:10.1063/1.322600
    • Spindt, C. A., Brodie, I., Humphrey, L. & Westerberg, E. R. 1976 Physical properties of thin-film emission cathodes with molybdenum cones. J. Appl. Phys. 47, 5248-5263. (doi:10.1063/1.322600)
    • (1976) J. Appl. Phys , vol.47 , pp. 5248-5263
    • Spindt, C.A.1    Brodie, I.2    Humphrey, L.3    Westerberg, E.R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.