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Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system. / Ivankiv, I.M.; Yafyasov, A.M.; Bogevolnov, V.B.; Pavlov, B.S.; Rudakova, T.V.

1997. 22 p. (Department Maths Report Series 383).

Research output: Book/Report/Anthology › Commissioned report › peer-review

Harvard

Ivankiv, IM, Yafyasov, AM, Bogevolnov, VB, Pavlov, BS & Rudakova, TV 1997, Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system. Department Maths Report Series 383. < http://hdl.handle.net/2292/5050>

APA

Ivankiv, I. M., Yafyasov, A. M., Bogevolnov, V. B., Pavlov, B. S., & Rudakova, T. V. (1997). Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system. (Department Maths Report Series 383). http://hdl.handle.net/2292/5050

Vancouver

Ivankiv IM, Yafyasov AM, Bogevolnov VB, Pavlov BS, Rudakova TV. Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system. 1997. 22 p. (Department Maths Report Series 383).

Author

Ivankiv, I.M. ; Yafyasov, A.M. ; Bogevolnov, V.B. ; Pavlov, B.S. ; Rudakova, T.V. / Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system. 1997. 22 p. (Department Maths Report Series 383).

BibTeX

@book{7d1663f4417c47cbac9ee56a9100a509,
title = "Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system",
abstract = "The mathematical model of the 2D-system of electrons in the subsurface space of the homogeneous narrow-gap semiconductor was developed for accumulation layers. The calculation of the 2D-systems parameters was carried out by numerical self-consistent integration of the Schr{"}odinger and Poisson equations by using the Fermi and quasi-classical (WKB) descriptions of the eigenfunctions of the continuous spectrum - the states of electrons {"}in continuum{"}. par It is shown that the quasi-classical approximation is preferable in comparison with the Fermi one for the description of the continuum for 2D-systems. The parameters of the two-dimensional gas were computed in wide range of temperatures (200---300,K) and potentials (0---0.2,V). There exists possibility of experimental observation of quantum subbands in accumulation layers in the subsurface space of the narrow-gap semiconductor at room temperature.",
author = "I.M. Ivankiv and A.M. Yafyasov and V.B. Bogevolnov and B.S. Pavlov and T.V. Rudakova",
year = "1997",
month = jun,
language = "English",
series = "Department Maths Report Series 383",

}

RIS

TY - BOOK

T1 - Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system

AU - Ivankiv, I.M.

AU - Yafyasov, A.M.

AU - Bogevolnov, V.B.

AU - Pavlov, B.S.

AU - Rudakova, T.V.

PY - 1997/6

Y1 - 1997/6

N2 - The mathematical model of the 2D-system of electrons in the subsurface space of the homogeneous narrow-gap semiconductor was developed for accumulation layers. The calculation of the 2D-systems parameters was carried out by numerical self-consistent integration of the Schr"odinger and Poisson equations by using the Fermi and quasi-classical (WKB) descriptions of the eigenfunctions of the continuous spectrum - the states of electrons "in continuum". par It is shown that the quasi-classical approximation is preferable in comparison with the Fermi one for the description of the continuum for 2D-systems. The parameters of the two-dimensional gas were computed in wide range of temperatures (200---300,K) and potentials (0---0.2,V). There exists possibility of experimental observation of quantum subbands in accumulation layers in the subsurface space of the narrow-gap semiconductor at room temperature.

AB - The mathematical model of the 2D-system of electrons in the subsurface space of the homogeneous narrow-gap semiconductor was developed for accumulation layers. The calculation of the 2D-systems parameters was carried out by numerical self-consistent integration of the Schr"odinger and Poisson equations by using the Fermi and quasi-classical (WKB) descriptions of the eigenfunctions of the continuous spectrum - the states of electrons "in continuum". par It is shown that the quasi-classical approximation is preferable in comparison with the Fermi one for the description of the continuum for 2D-systems. The parameters of the two-dimensional gas were computed in wide range of temperatures (200---300,K) and potentials (0---0.2,V). There exists possibility of experimental observation of quantum subbands in accumulation layers in the subsurface space of the narrow-gap semiconductor at room temperature.

UR - https://www.math.auckland.ac.nz/Research/Reports/view.php?id=383

M3 - Commissioned report

T3 - Department Maths Report Series 383

BT - Mathematical modelling and self-consistent calculation of the charge density of two-dimensional electron's system

ER -

ID: 107934805