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The Screening Length in Doping Superlattices

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In this paper we study the two dimensional Debye screening length in doping super-lattices of non-linear optical materials on the basis of newly formulated electron dispersion law considering all type of anisotropies within the framework of k. p formalism. The results for III–V, ternary, quaternary compounds form a special case of our generalized analysis. The two dimensional screening length has also been investigated in doping superlattices of II–VI, IV–VI and stressed compounds on the basis of newly formulated two dimensional dispersion laws. It appears taking the doping super-lattices of CdGeAs2, Cd3As2, InSb, InAs, Hg1–x Cd x Te, In1–x Ga x As1–y P y lattice matched to InP, CdS and stressed InSb as examples, that the inverse two dimensional screening length increases with increasing electron concentration per unit area respectively in all the cases and the numerical values are totally dependent on the band structure. Under certain limiting conditions all the results get simplified into the well-known parabolic energy bands and thus confirming the compatibility test. We have suggested an experimental method of determining the two dimensional screening length for quantum materials having arbitrary dispersion laws. Our results find one application in the field of theoretical and computational nano-science.
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Keywords: DEBYE SCREENING LENGTH; DOPING SUPER-LATTICES; EXPERIMENTAL SUGGESTION OF DETERMINATION; NON-LINEAR OPTICAL MATERIALS

Document Type: Research Article

Publication date: April 1, 2015

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  • QUANTUM MATTER is a peer-reviewed interdisciplinary journal consolidating research activities in all theoretical, experimental and technological aspects dealing with fundamental structure of matter from cosmology to materials science.
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