Linear-in-temperature resistivity ($T$-linear) and linear-in-field ($H$-linear) magnetoresistance (MR) are two typical characteristics of the strange-metal state in high-temperature (high-$T_{\text{c}}$) superconductors. Unraveling the relationship between the two phenomena may provide critical insights into the underlying mechanisms of strange metallicity and superconductivity. In this study, we investigate the high-field MR of the trilayer cuprate ${\text{Tl}}_{\text{2}}{\text{Ba}}_{\text{2}}{\text{Ca}}_{\text{2}}{\text{Cu}}_{\text{3}}{\text{O}}_{\text{10}+\delta }$ and perform a comparative analysis with other high-$T_{\text{c}}$ superconductors, including single-layer cuprates and iron-based systems. In all systems, MR exhibits an $H^{\text{2}}$ dependence at high temperatures, which gradually evolves to an $H$-linear dependence as temperature decreases. Remarkably, we found that the ratios of $H$-linear to $T$-linear coefficients are on the same order of magnitude (with the mean value of $0.40\pm 0.22$) across a broad range of materials, despite significant differences in lattice structure, Fermi surface geometry, and superconducting transition temperature. A further combination with MR simulations suggests momentum-dependent anisotropic scattering may be the origin for $H$-linear MR in various high-$T_{\text{c}}$ superconductors, which may also be the origin of $T$-linear resistivity.

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• High magnetic fields
• Magnetoresistance
• Spin fluctuations
• Superconductivity
• Cuprates
• High-temperature superconductors
• Strongly correlated systems
• Thin films
• Unconventional superconductors
• Film deposition
• Hall bar
• Resistivity measurements
• X-ray diffraction