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    Hall anomaly in the mixed state of type-II superconductors: Evidence for vacancies within vortex lattice domains

    Ruonan Guo1,2, Yong-Cong Chen3,*, Da Jiang4, and Ping Ao5,†

    • 1National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China
    • 2Jiangsu Key Laboratory of Quantum Information Science and Technology, Nanjing University, Suzhou 215163, China
    • 3Shanghai Center for Quantitative Life Sciences and Physics Department, Shanghai University, Shanghai 200444, China
    • 4Institute for Frontiers and Interdisciplinary Sciences, Zhejiang University of Technology, Zhejiang 310014, China
    • 5College of Biomedical Engineering, Sichuan University, Chengdu, Sichuan Province, Sichuan 610044, China

    • *Contact author: chenyongcong@shu.edu.cn
    • †Contact author: aoping@sjtu.edu.cn

    Phys. Rev. B 113, 214513 – Published 12 June, 2026

    DOI: https://doi.org/10.1103/c33d-dy66

    Abstract

    Despite numerous recent studies on the Hall anomaly following the discovery of cuprate superconductivity, its origin remains contentious. We demonstrate—without invoking adjustable parameters—that a previously proposed mechanism, in which vacancies form within vortex lattice domains, provides a compelling explanation for the observations in Bi2Sr2CaCu2Ox thin films reported by Nitzav and Kanigel [Phys. Rev. B 107, 094516 (2023)]. In particular, the observed power-law behavior of ρxy vs ρxx, with or without sign reversal, is consistent with the picture of vacancies on domains. Moreover, the effective vortex line length remains 1.5 unit cells (UC) across different experiments, independent of film thickness.

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