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    Topological Surface Charge Detection via Active Capacitive Compensation: A Pathway to the 4D Quantum Hall Effect

    Yuanze Li1, Renfei Wang2, Yifan Zhang3, Jiahao Chen1, Yingdong Deng4, Jin Xie4, Xufeng Kou3,5, Yang Liu2, and Tian Liang1,6,*

    • *Contact author: tliang@mail.tsinghua.edu.cn

    Phys. Rev. Lett. 137, 076602 – Published 12 August, 2026

    DOI: https://doi.org/10.1103/wycz-5hvd

    Abstract

    The topological magnetoelectric effect (TME) in three-dimensional topological insulators (TIs), described by ΔP=(e2/2h)NCh(2)ΔB, serves as a condensed-matter realization of the four-dimensional quantum Hall effect (4D QHE). In dual-gate axion insulator devices, the TME-induced polarization yields a current ITME∝(Ctotal/CS)Q4D−QHE, where the signal is suppressed by the capacitance ratio Ctotal/CS. Here we propose an active compensation scheme that introduces a tunable negative capacitance Ccomp≈−Cgate into the gate line, effectively canceling the gate dielectric capacitance and driving Ctotal/CS→1. We validate the method using a quantum anomalous Hall (QAH) device, which shares the same surface-state physics as the axion insulator but permits direct charge measurement via a single gate, recovering over 95% of the quantized charge signal from an initially half-attenuated state. This compensation method provides a robust means of resolving minute TME signals, offering a pathway toward direct measurements of the 4D QHE.

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