Nanoscale effects in field electron emission of ultrathin metal films
V.A. Saleev
Samara State University,
S.P.Korolyov Samara State Aerospace University,
Image Processing Systems Institute of the RAS
Full text of article: Russian language.
Abstract:
The electron field emission of nanoscale structures is considered in the framework of Bardeen transfer Hamiltonian approach. The model involved the finite size of emitter in electron emission direction is proposed. The emission is considered as tunnelling between two many-particle quantum states. The master formulas are obtained and the numerical algorithm is proposed. In the reductive model, the numerical estimations of nanoscale effects in the electron field emission of ultrathin metal films have been done.
Key words:
electron field emission, wave function, nanoscale effects, Bardeen transfer Hamiltonian method, Schrödinger equation.
References:
- Frolov, V.D. Dimensional effect of work function of electrons / V.D. Frolov, A.V. Karabutov, S.M. Pimenov, V.I. Konov, E.N. Lubnin // Nanotechnologies in Russia. – 2008. – Vol. 3. – P. 688.
- Eletsky, A.V. Carbon nanotubes and it’s emission properties / A.V. Eletsky // Usp. Fiz. Nauk. – 2002. – Vol. 172. – P. 401. – (in Russian).
- Frolov, V.D. Electronic properties of the emission sites of low-field emitting diamond films / V.D. Frolov, A.V. Karabutov, S.M. Pimenov, V.I. Konov // Diamond and Related Materials. – 2000. – Vol. 9. – P. 1196-1200.
- Frolov, V.D. Similarity in field electron emission from nanocrystalline diamond and related materials / V.D. Frolov, A.V. Karabutov, S.M. Pimenov, V.I. Konov, V.P. Ageev // Diamond and Related Materials. – 2001. – Vol. 10. – P. 1719-1726.
- Frolov, V.D. Field electron emission and nanostructural correlations for diamond and related materials / V.D. Frolov, A.V. Karabutov, S.M. Pimenov, V.I. Konov // Ultramicroscopy. – 2003. – Vol. 95. – P. 99-105.
- Frolov, V.D. The low-dimensional effect in single carbon-based nanoemitters of electrons / V.D. Frolov, A.V. Pimenov, V.I. Konov, V.I. Kuzkin // Applied Physics A. – 2004. – Vol. 78. – P. 21-23.
- Fransen, M.J. Field emission energy distributions from individual multiwalled carbon nanotubes / M.J. Fransen, T.L. van Rooy, P. Kruit // Appl. Surf. Science. – 1999. – Vol. 146. – P. 312.
- Bardin, J. Tunnelling from a many-particle point of view / J. Bardin // Phys. Rev. Lett. – 1961. – Vol. 57. – P. 57.
- Penn, D.R. Field emission as a probe of the surface density of states / D.R Penn, E.W. Plummer // Phys. Rev. B. – 1974. – Vol. 9. – P. 1216.
- Penn, D.R. Comment on "Field emission as a probe of the surface density of states"/ D.R. Penn // Phys. Rev. B. – 1976. – Vol. 14. – P. 849.
- Ramprasad, R. Calculation of the field-emission current from a surface using the Berdeen transfer Hamiltonian method / R. Ramprasad, L.R.C. Fonsecf, P. van Allmen // Phys. Rev. B. – 2000. – Vol. 62. – P. 5216.
- Ohwaki, T. First-principles calculation of field emission from metal surfaces / T. Ohwaki, H. Ishida, A. Liebsch / Phys. Rev. B. – 2003. – Vol. 68. – P. 155422.
- Ishida, H. First-principls calculation of tunnelling conductance / H. Ishida, D. Wortmann, T. Ohwaki // Phys. Rev. B. – 2004. – Vol. 70. – P. 085409.
- Han, S. Dynamical simulation of field emission in nanostructures / S. Han, M.H. Lee, J. Ihm // Phys. Rev. B. – 2002. – Vol. 66. – P. 241402.
- Lee, S.B. First-principalles dynamic simulations of field emission from carbon nanotubes on gold substrate / S.B. Lee, S. Kim, J. Ihm // Phys. Rev. B. – 2007. – Vol. 75. – P. 075408.
- Zhou, G. Single electron emission from the closed-tips of single-walled carbon nanotubes / G. Zhou, W. Duan, B. Gu // J. of Chem. Phys. B. – 2003. – Vol. 21. – P. 382.
- Kiselev, V.V. Quantum mechanics / V.V. Kiselev, – Moscow: “MCNMO” Publisher. – 2009. – (in Russian).
- Landau, L.D. Quantum mechanics / L.D. Landau, E.M. Lifshits. – Moscow: “Nauka” Publisher, 1974. – (in Russian).
- Flugge, S. Practical quantum machanics / S. Flugge. Shpringer-Verlag, 1971.
- Fowler, R.N. Electron emission in intense electric fields/ R.N. Fowler, L.W. Nordheim // Proc. R. Soc. London, Ser. A. – 1928. – Vol. 119. – P. 173.
© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; E-mail: ko@smr.ru; Phones: +7 (846) 332-56-22, Fax: +7 (846) 332-56-20