The Hall effect can indicate positive charge carriers due to anomalous band structures in certain materials.
Band structures and multi-band effects in specific materials can indeed cause anomalous Hall behaviors and unexpected signs in Hall coefficients.
The retrieved papers provide solid theoretical and experimental evidence showing that anomalous band structures, multi-band effects, and unconventional effective mass dispersion can lead to Hall effect signatures that indicate or accompany positive/negative carrier anomalies in various materials.
R. S. Allgaier. Extension of the Aukerman-Willardson Two-Band Hall Coefficient Analysis. 1965. https://doi.org/10.1063/1.1714505
Aukerman and Willardson analysis and extensions show how multi-band behaviors and concentration effects complicate or reverse Hall coefficient signs.
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Akiyoshi Yamada, Y. Fuseya. Negative magnetoresistance and sign change of the planar Hall effect due to negative off-diagonal effective mass in Weyl semimetals. 2021. https://doi.org/10.1103/PhysRevB.105.205207
Paper 4 demonstrates that fine structures of band dispersion, specifically negative off-diagonal effective mass in Weyl semimetals, can cause anomalous galvanomagnetic effects and sign changes.
H. Matsuura, Rinya Nishihata, Akinobu Takeshita, Kohei Ogawa, T. Imamura, Kota Takano, Kazuya Okuda, Atsuki Hidaka, S. Ji, K. Eto, K. Kojima, Tomohisa Kato, S. Yoshida, H. Okumura. Anomalous Temperature Dependence of the Hall Coefficient of Heavily Al-Doped 4H-SiC Epilayers in the Band Conduction Region. 2020. https://doi.org/10.4028/www.scientific.net/MSF.1004.215
Paper 11 reports that heavily Al-doped p-type 4H-SiC epilayers exhibit anomalous negative Hall coefficients even within the band conduction region where positive charge carriers (holes) normally dominate.
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