Quantum-geometry-facilitated pair density wave order: Density matrix renormalization group study

Understanding the formation of novel pair density waves (PDWs) in strongly correlated electronic systems remains challenging. Recent mean-field studies suggest that PDW phases may arise in strong-coupling multiband superconductors by virtue of the quantum geometric properties of paired electrons. However, confirmation via sophisticated many-body calculations has been lacking. Employing large-scale density matrix renormalization group calculations, we obtain the phase diagram of a simple two-orbital model incorporating quantum geometric effect in a strong coupling regime. The phase diagram reveals a robust PDW phase with no coexisting competing orders across a broad range of doping concentration and tuning interaction parameter. The observed pairing field configuration aligns with the phenomenological understanding that quantum geometric effects promote PDW formation. Our study provides by far the strongest evidence for the quantum-geometry-facilitated intrinsic PDW order in strongly correlated systems, thereby opening an avenue for further exploration of PDWs.