Ferromagnetic fluctuations in the Rashba-Hubbard model

Abstract

We study the occurrence and the origin of ferromagnetic fluctuations in the longitudinal spin susceptibility of the $t$-$t^{\prime }$-Rashba-Hubbard model on the square lattice. The combined effect of the second-neighbor hopping $t^{\prime }$ and the spin-orbit coupling leads to ferromagnetic fluctuations in a broad filling region. The spin-orbit coupling splits the energy bands, leading to two van Hove fillings, where the sheets of the Fermi surface change their topology. Between these two van Hove fillings the model shows ferromagnetic fluctuations. We find that these ferromagnetic fluctuations originate from interband contributions to the spin susceptibility. These interband contributions only arise if there is one holelike and one electronlike Fermi surface, which is the case for fillings in between the two van Hove fillings. We discuss implications for experimental systems and propose a test on how to identify these types of ferromagnetic fluctuations in experiments.

7 pages, 5 figures

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• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Rashba spin-orbit coupling in the square lattice Hubbard model: A truncated-unity functional renormalization group study
• Phase diagram of the square lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling
• Strongly parity-mixed superconductivity in Rashba-Hubbard model
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Spin texture in a bilayer high-temperature cuprate superconductor
• Interaction-driven first-order and higher-order topological superconductivity
• Weyl semimetallic state with antiferromagnetic order in Rashba-Hubbard model
• Spin and charge order in doped spin-orbit coupled Mott insulators