Comprehensive Analytical Approach to Predicting Freeze-Out and Exhaustion for Uniform Single-Impurity Semiconductors in Equilibrium  

Oleh:

Pieper, Ron J. ; Michael, Sherif

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: IEEE Transactions on Education vol. 48 no. 3 (Aug. 2005), page 413-421.
Topik: Analytical Model; Exact Analysis; Exhaustion; Freeze-Out; Semiconductor; Temperature Dependence

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: II71.1 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

In this paper, a complete analytical description for an exact expression for temperature dependence of the majority carrier in a single-impurity, nondegenerately doped equilibrium semiconductor is proposed. Analysis establishes that the problem is solvable exactly by identifying the only physically possible root to a cubic equation. This solution is complemented by an iterative technique that identifies boundaries for the intrinsic, freeze-out, and exhaustion regimes and facilitates selecting a reasonable range of temperatures in which to display the exact solution. Similarly, an exact expression for the temperature-dependent Fermi level is obtained. Fairly simple tests and checks on the analytic results are explained and demonstrated. This model provides an attractive alternative or supplement to established classroom approaches for this topic usually covered in senior and first-year graduate-level solid-state courses in physics and electrical engineering.

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