Gyrotropic Fingerprints of Magnetic Topological Insulator-Unconventional Magnet Interfaces

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Main Authors: Chakraborti, Neelanjan, Nandy, Snehasish, Ghosh, Sudeep Kumar
Format: Preprint
Published: 2025
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author Chakraborti, Neelanjan
Nandy, Snehasish
Ghosh, Sudeep Kumar
author_facet Chakraborti, Neelanjan
Nandy, Snehasish
Ghosh, Sudeep Kumar
contents Unambiguously identifying unconventional magnetic orders requires probes that are directly sensitive to their momentum-dependent spin-split band structures. Here, we employ a framework based on Zeeman quantum geometry to study magnetotransport at the interface between a magnetic topological insulator and an unconventional magnetic insulator. By choosing the magnetic layer to be insulating, we ensure that the transport response originates solely from the proximity-induced magnetic exchange field, eliminating contributions from itinerant magnetic carriers. We focus on the linear intrinsic gyrotropic magnetic (IGM) response, which naturally decomposes into conduction and displacement current components governed by the Zeeman Berry curvature and the Zeeman quantum metric, respectively. We uncover a universal hierarchy in which the transverse displacement IGM response exhibits characteristic even-fold angular harmonics for magnetic orders ranging from $p$- to $i$-wave, while the longitudinal IGM response distinguishes the parity of the magnetic order through robust sign-reversal patterns. In contrast, the conduction IGM component remains largely insensitive to the underlying magnetic symmetry. Consequently, the displacement IGM current emerges as a high-fidelity symmetry fingerprint of unconventional magnetic order. Using realistic parameter estimates for experimentally accessible heterostructures, we demonstrate that these signatures are well within measurable ranges, establishing Zeeman quantum geometry as a powerful and general framework for characterizing unconventional magnetic insulators via their gyrotropic transport responses.
format Preprint
id arxiv_https___arxiv_org_abs_2512_18621
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gyrotropic Fingerprints of Magnetic Topological Insulator-Unconventional Magnet Interfaces
Chakraborti, Neelanjan
Nandy, Snehasish
Ghosh, Sudeep Kumar
Mesoscale and Nanoscale Physics
Materials Science
Unambiguously identifying unconventional magnetic orders requires probes that are directly sensitive to their momentum-dependent spin-split band structures. Here, we employ a framework based on Zeeman quantum geometry to study magnetotransport at the interface between a magnetic topological insulator and an unconventional magnetic insulator. By choosing the magnetic layer to be insulating, we ensure that the transport response originates solely from the proximity-induced magnetic exchange field, eliminating contributions from itinerant magnetic carriers. We focus on the linear intrinsic gyrotropic magnetic (IGM) response, which naturally decomposes into conduction and displacement current components governed by the Zeeman Berry curvature and the Zeeman quantum metric, respectively. We uncover a universal hierarchy in which the transverse displacement IGM response exhibits characteristic even-fold angular harmonics for magnetic orders ranging from $p$- to $i$-wave, while the longitudinal IGM response distinguishes the parity of the magnetic order through robust sign-reversal patterns. In contrast, the conduction IGM component remains largely insensitive to the underlying magnetic symmetry. Consequently, the displacement IGM current emerges as a high-fidelity symmetry fingerprint of unconventional magnetic order. Using realistic parameter estimates for experimentally accessible heterostructures, we demonstrate that these signatures are well within measurable ranges, establishing Zeeman quantum geometry as a powerful and general framework for characterizing unconventional magnetic insulators via their gyrotropic transport responses.
title Gyrotropic Fingerprints of Magnetic Topological Insulator-Unconventional Magnet Interfaces
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2512.18621