Orbital Order, Structural Transition and Superconductivity in Iron Pnictides
Yuki Yanagi, Youichi Yamakawa, Naoko Adachi, Yoshiaki \=Ono

TL;DR
This study models iron pnictide superconductors to understand how orbital order, structural transitions, and superconductivity are interconnected, highlighting the roles of electron-phonon coupling and fluctuations.
Contribution
It introduces a 16-band d-p model incorporating electron-phonon interactions to explain structural and magnetic transitions and their relation to superconductivity in iron pnictides.
Findings
Ferro-orbital order induces structural transition at TQ.
Superconductivity can be s++ or s+- wave depending on the dominant fluctuation.
Phase diagram aligns with experimental observations of doped iron pnictides.
Abstract
We investigate the 16-band d-p model for iron pnictide superconductors in the presence of the electron-phonon coupling g with the orthorhombic mode which is crucial for reproducing the recently observed ultrasonic softening. Within the RPA, we obtain the ferro-orbital order below TQ which induces the tetragonal-orthorhombic structural transition at Ts = TQ, together with the stripe-type antiferromagnetic order below TN. Near the phase transitions, the system shows the s++ wave superconductivity due to the orbital fluctuation for a large g case with TQ > TN, while the s+- wave due to the magnetic fluctuation for a small g case with TQ < TN. The former case is consistent with the phase diagram of doped iron pnictides with Ts > TN.
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