%0 Journal Article
%T Novel Understanding of Electron States Architecture  and Its Dimensionality in Semiconductors
%A Xiaomin Ren
%J Optics and Photonics Journal
%P 322-330
%@ 2160-889X
%D 2013
%I Scientific Research Publishing
%R 10.4236/opj.2013.32B075
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">Some important insights into the electron-states-architecture
(ESA) and its dimensionality (from 3 to 0) in a semiconductor (or generally
crystalline) material are obtained. The self-consistency of the </span><span lang=\"EN-US\">set of </span><span lang=\"EN-US\">density
of states (DOS) expressions </span><span lang=\"EN-US\">with</span><span lang=\"EN-US\"> different dimensionalities is remediated
through the clarification and rearrangement of the wave-function boundary
conditions for </span><span lang=\"EN-US\">working
out</span><span lang=\"EN-US\"> the eigenvalues in the wave vector space. The
actually </span><span lang=\"EN-US\">too roughly
observed</span><span lang=\"EN-US\"> and theoretically unpredicted critical points
for the dimensionality transitions referring to the integer ones are revealed
upon an unusual assumption of the intrinsic energy-level dispersion (ELD). The
ELD based quantitative physical model ha</span><span lang=\"EN-US\">d</span><span lang=\"EN-US\"> been established</span><span lang=\"EN-US\"> on an immediate instinct at the
very beginning</span><span lang=\"EN-US\"> </span><span lang=\"EN-US\">and has been </span><span lang=\"EN-US\">proper</span><span lang=\"EN-US\">ly </span><span lang=\"EN-US\">modifi</span><span lang=\"EN-US\">ed afterwards.</span><span lang=\"EN-US\"> The uncertainty regarding the relationship between the de Broglie
wavelength of electrons and the dimensionality transitions, seeming somewhat
mysterious before, is consequentially eliminated. The effect of the material
dimensions</span><span lang=\"EN-US\"> </span><span lang=\"EN-US\">on the ELD width </span><span lang=\"EN-US\">is</span><span lang=\"EN-US\"> also predicted and ha</span><span lang=\"EN-US\">s</span><span lang=\"EN-US\"> been included in
the model. The continuous evolution of the ESA dimensionality is convincingly
and comprehensively interpreted and thus the area of the fractional ESA
dimensionalit</span><span lang=\"EN-US\">ies</span><span lang=\"EN-US\"> is opened. </span><span lang=\"EN-US\">Another new assumption of the spatial extension shrinkage (SES) closely
related to the ELD has also been made and thus the understanding of the
behavior of an electron or, in a general sense, a particle has become more comprehensive. </span><span lang=\"EN-US\">This work would manifest itself a new basis for further
development of nanoheterostructures (or low dimensional heterostructures
including the quantum wells, quantum wires, quantum dots and especially the
hetero-dimensional structures). Expected
%K Energy-level Dispersion
%K Spatial Extension Shrinkage
%K Electron-states-architecture
%K Density of States
%K Di-mensionality
%K Quantum Wells
%K Wires and Dots
%K Schr&#246
%K dinger Equation
%K Newtonian Equation
%K Relativity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=35054