Interplay Between High-Temperature Superconductivity and Magnetism: A Quantum Monte Carlo Study
Quantum materials host a variety of electronic states with remarkable potential for technological applications. Among those, high-temperature superconductors have attracted both fundamental and applied scientists for their ability to carry currents without dissipation above the liquid nitrogen boiling temperature. Because most quantum materials displaying this unconventional state also show a nearby antiferromagnetic phase, elucidating the interplay between these two states has become a key challenge to understand and possibly design new superconductors. In this project, the intertwining between superconductivity and antiferromagnetism is explored via a novel sign-problem free quantum Monte Carlo approach. In particular, two complementary problems are investigated. In the first problem, a systematic comparison of the magnetically promoted enhancements of the pairing susceptibilities of copper- and iron-based high-temperature superconductors is conducted. In the second problem, the phase diagram showing how these states depend on the strength of electronic interactions is determined by solving a two-band microscopic electronic model that treats antiferromagnetism and superconductivity on equal footing. Completion of this work will shed new light on the rich interplay between magnetism and superconductivity and will establish this novel sign-problem free quantum Monte Carlo approach as a viable tool to study quantum materials.
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