Peter Rosenberg

Titre: Charge Order, Pairing, and Topological Signatures in Many-Fermion Models: Recent Results from Auxiliary-Field Quantum Monte Carlo Résumé: Exotic states of matter, such as high-Tc superconductors, and topological phases, are a central focus of modern condensed matter physics. These phenomena hold the promise of impactful applications across many fields, including quantum computation and quantum information. The effect of interactions is an essential ingredient in any high-accuracy microscopic description of these systems, however, the treatment of strongly-interacting many-body systems remains a formidable challenge. The auxiliary-field quantum Monte Carlo (AFQMC) technique has demonstrated considerable accuracy in the treatment of strongly-interacting many-body models, as well as real materials. In this talk I will present a set of AFQMC results that offer a high-accuracy, quantitative picture of the intriguing properties of several interacting many-body models, including attractive fermions with Rashba spin-orbit coupling, and a Dirac/Weyl superconductor. These results provide a precise set of benchmarks for experiments and lay the foundation for further investigations of strongly-interacting topological systems. I will conclude with an outlook on future directions, including the treatment of spin polarized systems and extended interactions, which may lead to finite-momentum pairing states and topological superconductivity.