Print Email Facebook Twitter The Einstein relation in quantum wires of III-V, ternary, and quaternary materials in the presence of light waves: Simplified theory, relative comparison, and suggestion for experimental determination Title The Einstein relation in quantum wires of III-V, ternary, and quaternary materials in the presence of light waves: Simplified theory, relative comparison, and suggestion for experimental determination Author Ghatak, K.P. Bhattacharya, S. Bhowmik, S. Benedictus, R. Choudhury, S. Faculty Aerospace Engineering Department Aerospace Materials & Manufacturing Date 2008-05-08 Abstract We study the Einstein relation for the diffusivity to mobility ratio (DMR) in quantum wires (QWs) of III-V, ternary, and quaternary materials in the presence of light waves, whose unperturbed energy band structures are defined by the three band model of Kane. It has been found, taking n-InAs, n-InSb, n-Hg1?xCdxTe, n-In1?xGaxAsyP1?y lattice matched to InP as examples, that the respective DMRs exhibit decreasing quantum step dependence with the increasing film thickness, decreasing electron statistics, increasing light intensity and wavelength, with different numerical values. The nature of the variations is totally band structure dependent and 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 to the corresponding QWs of the said materials in the absence of photoexcitation. The classical equation of the DMR in the absence of any field has been obtained as a special case of the present analysis under certain limiting conditions and this is the indirect test of the generalized formalism. We have suggested an experimental method of determining the DMR in QWs of degenerate materials having arbitrary dispersion laws and our results find six applications in the field of quantum effect devices. Subject band structurecadmium compoundscarrier mobilitydiffusiondispersion relationsgallium arsenidegallium compoundsIII-V semiconductorsindium compoundsmercury compoundssemiconductor quantum wiresternary semiconductors To reference this document use: http://resolver.tudelft.nl/uuid:85fdac44-ca9e-4421-b2e2-bb9b8ee509d8 DOI https://doi.org/10.1063/1.2913515 Publisher American Institute of Physics ISSN 0021-8979 Source http://link.aip.org/link/JAPIAU/v103/i9/p094314/s1 Source Journal of Applied Physics, 103 (9), 2008 Part of collection Institutional Repository Document type journal article Rights (c) 2008 The Author(s); American Institute of Physics Files PDF Bhowmik_2008.pdf 1.57 MB Close viewer /islandora/object/uuid:85fdac44-ca9e-4421-b2e2-bb9b8ee509d8/datastream/OBJ/view