Research output: Contribution to journal › Article › peer-review
A pertinent approximation of the electrostatic potential in a quantized electron accumulation layer induced at a nonideal surface of a narrow-gap semiconductor. / Vainer, Boris G.
In: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 31, No. 1, e2260, 01.01.2018.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - A pertinent approximation of the electrostatic potential in a quantized electron accumulation layer induced at a nonideal surface of a narrow-gap semiconductor
AU - Vainer, Boris G.
N1 - Publisher Copyright: Copyright © 2017 John Wiley & Sons, Ltd.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - Quantitative analysis of the electron accumulation layer formed near nonideal (actual) semiconductor surface causes considerable difficulties. In the present article, for the accumulation layers induced in the subsurface region at the real narrow-gap semiconductor-insulator interface, an effective algorithmic approach providing a simplified self-consistent solution of the Poisson and Schrödinger equations is proposed and discussed. The physical model takes into account the conduction band nonparabolicity, electron gas degeneration, and other dominant features of solids in question; special attention is paid to the existence of semiconductor-dielectric intermediate layer. A novel approximation for the surface electrostatic potential in the form of a modified Кratzer potential is proposed and substantiated. It allows us to obtain the electron wavefunctions and energy spectrum in the analytical form. It is shown that the modified Кratzer potential is a good approximation function applicable at least to subsurface electron accumulation layers induced at the A3B5 narrow-gap semiconductor boundary surface allowing for the existence of a semiconductor-insulator intermediate layer. For the n-InSb nonideal surface, as an example, spatial distribution of electron potential energy, discrete energy spectrum of electrons in the broad range of surface densities (up to 1013 cm-2), and some other physical characteristics are calculated using the proposed algorithm.
AB - Quantitative analysis of the electron accumulation layer formed near nonideal (actual) semiconductor surface causes considerable difficulties. In the present article, for the accumulation layers induced in the subsurface region at the real narrow-gap semiconductor-insulator interface, an effective algorithmic approach providing a simplified self-consistent solution of the Poisson and Schrödinger equations is proposed and discussed. The physical model takes into account the conduction band nonparabolicity, electron gas degeneration, and other dominant features of solids in question; special attention is paid to the existence of semiconductor-dielectric intermediate layer. A novel approximation for the surface electrostatic potential in the form of a modified Кratzer potential is proposed and substantiated. It allows us to obtain the electron wavefunctions and energy spectrum in the analytical form. It is shown that the modified Кratzer potential is a good approximation function applicable at least to subsurface electron accumulation layers induced at the A3B5 narrow-gap semiconductor boundary surface allowing for the existence of a semiconductor-insulator intermediate layer. For the n-InSb nonideal surface, as an example, spatial distribution of electron potential energy, discrete energy spectrum of electrons in the broad range of surface densities (up to 1013 cm-2), and some other physical characteristics are calculated using the proposed algorithm.
KW - electron accumulation layer
KW - electrostatic potential
KW - MIS structure
KW - nonideal surface
KW - novel approximating function
KW - SUBBAND STRUCTURE
KW - STATES
KW - FIELD
KW - BAND-STRUCTURE
KW - CAPACITANCE
KW - DENSITY
KW - CHANNEL
KW - INSB
KW - CHARGE
KW - INVERSION-LAYERS
UR - http://www.scopus.com/inward/record.url?scp=85021364323&partnerID=8YFLogxK
U2 - 10.1002/jnm.2260
DO - 10.1002/jnm.2260
M3 - Article
AN - SCOPUS:85021364323
VL - 31
JO - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
JF - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
SN - 0894-3370
IS - 1
M1 - e2260
ER -
ID: 12078212