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    Ultrasensitive temperature sensing with Nd3+ via a three-level thermal coupling strategy

    Yifan Zhu, Wangze Li, Zeyu Sun, Xilin Zhou, Yanzhen Xiao, Sihan Wang, Xiadiyan Refuhati, Lei Yan, Zhenglong Zhang et al.

    Zhengkun Fu* and Hairong Zheng†

    • School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, Shaanxi, China and Xi'an Key Laboratory of Optical Information Manipulation and Augmentation (OMA), Xi'an 710119, China

    • *Contact author: zkfu@snnu.edu.cn
    • †Contact author: hrzheng@snnu.edu.cn

    Phys. Rev. B 114, 105201 – Published 27 August, 2026

    DOI: https://doi.org/10.1103/3x9d-tvz2

    Abstract

    Conventional luminescence intensity ratio (LIR) thermometry based on two thermally coupled levels (TCLs) suffers from an intrinsic trade-off between a large energy gap (ΔE), which is required for high relative sensitivity (Sr), and the strong thermal coupling needed to maintain Boltzmann equilibrium. Nonthermally coupled thermometers can also provide high sensitivity and robust performance after appropriate calibration, but their temperature response is generally more system specific because it is not directly constrained by a simple Boltzmann relation. Here, we implement a three-level thermal-coupling scheme in Nd3+-doped NaYF4 microparticles to mitigate this sensitivity-thermalization trade-off. The intermediate F5/24 manifold partitions the ∼1700 cm−1 separation between F3/24 and F7/24 into two moderate adjacent subgaps of about 800–900 cm−1, which is expected to facilitate thermally assisted population redistribution while retaining a large effective ΔE. At the same time, a thermally enhanced anti-Stokes emission at 753 nm (F7/24→I9/24) and a thermally quenched Stokes emission at 1061 nm (F3/24→I11/24) are combined to construct the LIR, making the intensity ratio strongly temperature dependent and producing a steep absolute LIR response, as reflected by absolute sensitivity (Sa). Notably, the 753 nm anti-Stokes emission lies in the NIR-I region, whereas the 1061 nm Stokes emission is located in the NIR-II region. This NIR-I/NIR-II-separated configuration reduces spectral overlap and cross-talk between the two thermometric channels, allowing the thermally enhanced and thermally quenched emissions to be tracked independently in the anti-Stokes/Stokes ratiometric readout. Experimentally, the resulting near-infrared thermometer operates reliably from 298 to 548 K, reaching a maximum Sr of 2.73% K−1 at 298 K, while the selected fixed anti-Stokes/Stokes readout exhibits an Sa value of 29.81% K−1 at 548 K, with consistent performance under both 864 and 808 nm excitation. Compared with a simple two-level TCL description, this three-level strategy offers a practical way to use a larger overall energy separation while retaining a Boltzmann-type interpretation of the temperature-dependent LIR. This work provides an energy-level engineering approach for designing high-sensitivity luminescent thermometers based on sequential thermal coupling.

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