Correction to the classical two-species Hall Coefficient using twoport network theory

摘要

By the use of twoport network theory, the classical expression for the two-species Hall Coefficient, R_h=(pμ_p~2-nμ_n~2)/(q(pμ_p+pμ_n)~2) is, on admission of terms neglected by earlier authors, corrected to R_h={pμ_p~2-nμ_n~2+B_y~2μ_p~2μ_n~2(p-n)}/(q{(pμ_p+pμ_n)~2+B_y~2μ_p~2μ_n~2(p-n)~2}) The new expression approximates the old when |B_y| min {1/μ_n, 1/μ_p}. The condition of approximation establishes the range of field strength in which the classical expression is acceptable. Since the Hall Effect is part of the stock-in-trade of electrical engineers, however, it seems important that students should be aware of the correct expression.