Assessing the Reliability of Anomalous Hall Conductivity Extraction in GdAlSi
Abstract
We examine the different methods of extracting the anomalous Hall conductivity using SrRuO3 and GdAlSi. For SrRuO3, where the ordinary Hall background is well defined and the magnetoconductance is small, subtracting the ordinary Hall contribution either before or after conversion from resistivity to conductivity yields nearly identical anomalous Hall conductivities. In GdAlSi, in contrast, the transverse response does not exhibit clear saturation, and both low- and high-field regions can appear approximately linear. We show that different interpretations of these linear regions as the ordinary Hall background, together with the treatment of the measured longitudinal resistance in the resistivity-to-conductivity conversion, can produce completely different estimates of the anomalous Hall conductivity. We also examine whether the nonlinear Hall response can instead be described within an ordinary Hall framework without invoking an anomalous contribution. Our analysis provides practical cautions for extracting excess Hall contributions in quantum materials.
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BibTeX
@misc{kumar2026assessing,
title = {{Assessing the Reliability of Anomalous Hall Conductivity Extraction in GdAlSi}},
author = {Anil Kumar and Debapratim Pal and Sudhan Koirala and Muhammad Adnan and Youngsang and Ji and Prakash Regmi and Bailey S. Bouley and Ludi Miao and Yun Suk Eo},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17872},
eprint = {2609.17872},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17872},
}
RIS
TY - UNPB
TI - Assessing the Reliability of Anomalous Hall Conductivity Extraction in GdAlSi
AU - Anil Kumar
AU - Debapratim Pal
AU - Sudhan Koirala
AU - Muhammad Adnan
AU - Youngsang
AU - Ji
AU - Prakash Regmi
AU - Bailey S. Bouley
AU - Ludi Miao
AU - Yun Suk Eo
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17872
UR - https://arxiv.org/abs/2609.17872
AB - We examine the different methods of extracting the anomalous Hall conductivity using SrRuO_3 and GdAlSi. For SrRuO_3, where the ordinary Hall background is well defined and the magnetoconductance is small, subtracting the ordinary Hall contribution either before or after conversion from resistivity to conductivity yields nearly identical anomalous Hall conductivities. In GdAlSi, in contrast, the transverse response does not exhibit clear saturation, and both low- and high-field regions can appear approximately linear. We show that different interpretations of these linear regions as the ordinary Hall background, together with the treatment of the measured longitudinal resistance in the resistivity-to-conductivity conversion, can produce completely different estimates of the anomalous Hall conductivity. We also examine whether the nonlinear Hall response can instead be described within an ordinary Hall framework without invoking an anomalous contribution. Our analysis provides practical cautions for extracting excess Hall contributions in quantum materials.
ER -