Electronic nematic order emerges in several cuprate and iron-based superconductors and is widely considered a key ingredient in unconventional superconductivity. Substantial evidence indicates that its interplay with superconductivity may be either cooperative or competitive, depending on the specific material, although important aspects of this relationship remain unresolved.

Over recent years, our group has addressed this problem through both experiments and numerical modeling, with emphasis on how nematicity affects the superconducting mixed state. The experimental approach is primarily based on transport measurements in single crystals subjected to uniaxial stress with strain control, under a rotating magnetic field [1-3]. Theoretically, we employ a phenomenological Ginzburg–Landau framework with coupled superconducting and nematic order parameters, solving the time-dependent equations using pseudospectral techniques [4].

In this talk, I will present numerical results predicting impact of nematic order and nematic domain boundaries on the mixed-state properties, including superconducting anisotropy, vortex flux flow and pinning properties [5]. I will also discuss how signatures of superconducting-nematic coupling can be obtained in our experiments, and I will present experimental results obtained in different iron-based superconductors compounds [1-3].

[1] J. Schmidt et al., Phys. Rev. B 99, 064515 (2019).

[2] F. Castilo Menegotto et al., J. Low Temp. Phys. 222, 72 (2026).

[3] F. Castilo Menegotto et al., in preparation (2026).

[4] R. Severino et al., Phys. Rev. B 106, 094512 (2022)

[5] R. Severino et al., Phys. Rev. B 109, 094513 (2024); F. Castillo Menegotto et al., Phys. Rev. B 112, 134506 (2025). F. Castillo Menegotto et al., in preparation (2026).