The Rashba-Hubbard model on the square lattice is the paradigmatic case for studying the effect of spin-orbit coupling, which breaks spin and inversion symmetry, in a correlated electron system. We employ a truncated-unity variant of the functional renormalization group which allows us to analyze magnetic and superconducting instabilities on equal footing. We derive phase diagrams depending on the strengths of Rasbha spin-orbit coupling, real second-neighbor hopping and electron filling. We find commensurate and incommensurate magnetic phases which compete with d-wave superconductivity. Due to the breaking of inversion symmetry, singlet and triplet components mix; we quantify the mixing of d-wave singlet pairing with f-wave triplet pairing.
Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
BosonFlow: A C++ codebase for dynamic fRG and single-boson exchange in correlated fermion systems
Ruhr-University Bochum(波鸿鲁尔大学);Max-Planck-Institut für Festkörperforschung(马克斯·普朗克固体研究所);Vienna University of Technology(维也纳工业大学);Universität Tübingen(蒂宾根大学)
Single-boson exchange formulation of the Schwinger-Dyson equation and its application to the functional renormalization group
Vienna University of Technology(维也纳工业大学);Max Planck Institute for Solid State Research(马克斯·普朗克固体的研究所);Arnold Sommerfeld Center for Theoretical Physics, Center for NanoScience, and Munich Center for Quantum Science and Technology, Ludwig-Maximilians-Universität München(慕尼黑大学);Max Planck Institute of Quantum Optics(马克斯·普朗克量子光学研究所);Universität Tübingen(蒂宾根大学);Ruhr-University Bochum(波鸿鲁尔大学);Harvard University(哈佛大学)