A N CHAKRAVARTI

B R NAG

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

physica status solidi (a)

We study theoretically the energy spectrum of the conduction electrons and the Einstein relation for the diffusivity-mobility ratio (DMR) for III-V, ternary and quaternary materials, whose unperturbed energy band structures are defined by the three-band model of Kane, in the presence of light waves. The solution of the Boltzmann transport equation on the basis of this newly formulated electron dispersion law will introduce new physical ideas and experimental findings under different external conditions. It has been observed that the unperturbed isotropic energy spectrum in the presence of light changes into an anisotropic dispersion relation with the energy-dependent mass anisotropy. It has been found taking n-InAs, n-InSb, n-Hg1-xCdxTe and n-In1-xGaxAsyP1- y lattice matched to InP, as examples that the DMR increases with increasing electron concentration, decreasing with increasing intensity and wavelength in various manners. The rate of change is totally band structure dependent and is influenced by the presence of the different energy band constants. The well-known result for the DMR for degenerate wide gap materials in the absence of light waves 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 degenerate materials having arbitrary dispersion laws. © 2007 Elsevier B.V. All rights reserved.

Physica B: Condensed Matter

Influence of light on the Einstein relation in III-V, ternary and quaternary materials: Simplified theory and a suggestion for experimental determination

Generalized Einstein relation for the diffusivityâ€mobility ratio in multiâ€band degenerate semiconductors

An iteration method is presented for the accurate calculation of the microwave magnetoconductivity of polar semiconductors. The method is an extension of Rode's iteration method for the evaluation of dc conductivity. The real and imaginary parts of the two perturbation components of the distribution function are obtained at each step of iteration by solving the four simultaneous equations relating the components. The iteration procedure is found to converge within 5-10 steps. The method has been applied to obtain the magnetoconductivity tensor of n-InSb at 10, 35, 85, and 135 GHz for magnetic induction up to 0.1 Wb/m2. All the relevant scattering mechanisms and the effects of band nonparabolicity have been taken into account. The calculated values of conductivity differ significantly from those obtained by applying the Drude theory and do not agree with those deduced from a cavity perturbation experiment.

Fulltext

Journal of Applied Physics

Microwave magnetoconductivity of polar semiconductors

On the modification of the generalized Einstein relation for a semiconductor superlattice

physica status solidi (b)

On the densityâ€ofâ€states function for nonâ€“parabolic energy bands in semiconductors under the influence of strong magnetic quantization

Generalized einstein relation for semiconductors in the presence of a magnetic field

Proceedings of the IEEE

Generalized Einstein relation for degenerate semiconductors

Semiconductor Statistics

SPATIAL DISTRIBUTION OF EXCESS CARRIERS

Physics Bulletin

Notices to Members

Generalized einstein relation for degenerate semiconductors having nonâ€parabolic energy bands under the influence of strong magnetic quantization

Journal	physica status solidi (a)
Publisher	-
ISSN	0031-8965