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Rashba spin-orbit coupling in the square-lattice Hubbard model: A truncated-unity functional renormalization group study

, , , , , , , and . Phys. Rev. B, 107 (12): 125115 (May 7, 2023)
DOI: 10.1103/PhysRevB.107.125115

Abstract

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.

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