A study on Landau levels in thin films

Document Type : Original Article

Authors

Department of Physics, Shahid Rajaee Teacher Training University

Abstract

In this paper, we study the energy levels of an electron moving in a thin film. This film is considered as a two-dimensional electron gas which is under the influence of a uniform external magnetic field B and a uniform external electric field E. Here, the magnetic field is perpendicular to the film. Also, in this paper, we have selected the Landau gauge, because this gauge is useful for working in rectangular geometries.

Graphical Abstract

A study on Landau levels in thin films

Keywords


[1] A. Alejo-Molina and et al., Complex dispersion relation of 1D dielectric photonic crystal with thin metallic layers, Microelectronics Journal, 40 (2009) 459–461.
[2] A. F. Ali, S. Das and E. C. Vagenas, Discreteness of Space from the Generalized Uncertainty Principle, Phys. Lett. B678 (2009) 497–499.
[3] D. Amati, M. Ciafaloni and G. Veneziano, Can spacetime be probed below the string size?, Phys. Lett. B216 (1989) 41–47.
[4] C. Bambi and F. R. Urban, Natural extension of the generalized uncertainty principle, Class. Quant. Grav. 25 (2008) 095006 [arXiv:0709.1965].
[5] M. Birkholz, P. F. Fewster and C. Genzel, Thin Film Analysis by X-Ray Scattering. Weinheim: Wiley-VCH, 2005.
[6] A. B. Chwang and et al., Thin film encapsulated flexible organic electroluminescent displays, Appl. Phys. Lett. 83 (2003) 413–415.
[7] S. Das and E. C. Vagenas, Phenomenological implications of the generalized uncertainty principle, Can. J. Phys. 87 (2009) 233–240.
[8] S. Hossenfelder and et al., Collider signatures in the Planck regime, Phys. Lett. B575 (2003) 85–99.
[9] F. J. Lawrence and et al., Antireflection coatings for two-dimensional photonic crystals using a rigorous impedance definition. Appl. Phys. Lett. 93, 1114 (2008) DOI: 10.1063/1.2992066.
[10] M. Maggiore, A generalized uncertainty principle in quantum gravity, Phys. Lett. B304 (1993) 65– 69.
[11] M. Maggiore, Quantum groups, gravity, and the generalized uncertainty principle, Phys. Rev. D49 (1994) 5182–5187.
[12] M. Ohring, Materials Science of Thin Films (2nd ed.), Boston: Academic Press, 2001.
[13] F. Scardigli, Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment, Phys. Lett. B452 (1999) 39–44.
[14] K. Seshan, ed. Handbook of Thin Film Deposition (3rd ed.). Amsterdam: Elsevier, 2012.
[15] D. Tong, The Quantum Hall Effect, TIFR Infosys Lectures, Cambridge, UK, 2016.
[16] Y. Zhang and et al., Experimental observation of the quantum Hall effect and Berrys phase in graphene, Nature 438 (2005) 201–204 .
Volume 6, Issue 1
June 2016
Pages 41-46
  • Receive Date: 02 September 2015
  • Revise Date: 11 December 2015
  • Accept Date: 18 April 2016
  • Publish Date: 01 June 2016