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Using First-Principles Calculations in CALPHAD Models to Determine Carrier Concentration of the Binary PbSe Semiconductor

DOI:10.1007/s11664-018-6819-z 期刊:Journal of Electronic Materials 出版年份:2019 更新时间:2025-09-23 15:23:52
摘要: PbSe is a promising thermoelectric that can be further improved by nanostructuring, band engineering, and carrier concentration tuning; therefore, a firm understanding of the defects in PbSe is necessary. The formation energies of point defects in PbSe are computed via first-principles calculations under the dilute-limit approximation. We find that under Pb-rich conditions, PbSe is an n-type semiconductor dominated by doubly-charged Se vacancies. Conversely, under Se-rich conditions, PbSe is a p-type semiconductor dominated by doubly-charged Pb vacancies. Both of these results agree with previously performed experiments. Temperature- and chemical potential-dependent Fermi levels and carrier concentrations are found by enforcing the condition of charge neutrality across all charged atomic and electronic states in the system. The first-principles-predicted charge-carrier concentration is in qualitative agreement with experiment, but slightly varies in the magnitude of carriers. To better describe the experimental data, a CALPHAD assessment of PbSe is performed. Parameters determined via first-principles calculations are used as inputs to a five-sublattice CALPHAD model that was developed explicitly for binary semiconductors. This five sublattice model is in contrast to previous work which treated PbSe as a stoichiometric compound. The current treatment allows for experimental carrier concentrations to be accurately described within the CALPHAD formalism. In addition to the five-sublattice model, a two-sublattice model is also developed for use in multicomponent databases. Both models show excellent agreement with the experimental data and close agreement with first-principles calculations. These CALPHAD models can be used to determine processing parameters that will result in an optimized carrier concentration and peak zT value.
作者: Matthew C. Peters,Jeff W. Doak,J.E. Saal,G.B. Olson,P.W. Voorhees
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To model the carrier concentration of the binary PbSe semiconductor by combining first-principles calculations with CALPHAD models to understand and optimize its thermoelectric properties.

First-principles calculations identify doubly-ionized vacancies as dominant defects in PbSe, with qualitative agreement to experimental carrier concentrations. CALPHAD models (5SL and 2SL) significantly improve accuracy, showing excellent agreement with experimental data and enabling prediction of optimal processing parameters for enhanced thermoelectric performance. The study demonstrates the synergy between DFT and CALPHAD for semiconductor modeling.

The DFT calculations under-predict carrier concentration in Pb-rich conditions and over-predict in Se-rich conditions, possibly due to differences in equilibrium conditions (solid vs. liquid phases) and inaccuracies in band gap prediction. Spin-orbit coupling and vibrational entropy are not considered, which could improve accuracy. The models are specific to binary PbSe and may require adjustments for multicomponent systems.

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