Skip to main content
padlock icon - secure page this page is secure

Influence of Light on the Einstein Relation in Ultra-Thin Films of III–V, Ternary and Quaternary Materials: Simplified Theory, Relative Comparison and Suggestion for Experimental Determination

Buy Article:

Your trusted access to this article has expired.

$107.14 + tax (Refund Policy)

In this paper, we study the Einstein relation for the diffusivity-mobility ratio (DMR) in ultra-thin films of III–V, ternary and quaternary materials in the presence of light waves, whose unperturbed energy band structures are defined by the three-band and two band models of Kane together with parabolic energy bands. The solution of the Boltzmann transport equation on the basis of the newly formulated electron dispersion laws will introduce new physical ideas and experimental findings under different external conditions. It has been found, taking ultrathin films of n-InAs, n-InSb, n-Hg1−x Cd x Te, n-In1−x Ga x As y P1−y lattice matched to InP, as examples, that the respective DMR in the aforementioned materials exhibits decreasing quantum step dependence with the increasing film thickness, decreasing electron statistics, increasing light intensity and wavelength, with different numerical values. The DMR decreases with increasing alloy composition and the nature of the variations are totally band structure dependent which is influenced by the presence of the different energy band constants. The strong dependence of the DMR on both the light intensity and the wavelength reflects the direct signature of the light waves which is in contrast as compared with the corresponding ultra-thin films of the said materials in the absence of photo-excitation. The well-known result for the DMR for degenerate wide gap materials in the absence of any field has been obtained as a special case of the present analysis under certain limiting conditions and this compatibility is the indirect test of our generalized formalism. Besides, we have suggested an experimental method of determining the DMR in ultrathin materials in the presence of light waves having arbitrary dispersion laws.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Article Media
No Metrics

Keywords: EINSTEIN RELATION; EXPERIMENTAL DETERMINATION; III-V; LIGHT WAVES; QUATERNARY; TERNARY; ULTRA-THIN FILMS

Document Type: Research Article

Publication date: July 1, 2008

More about this publication?
  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
  • Editorial Board
  • Information for Authors
  • Submit a Paper
  • Subscribe to this Title
  • Terms & Conditions
  • Ingenta Connect is not responsible for the content or availability of external websites
  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more