Instability of the ferromagnetic quantum critical point in strongly interacting 2D and 3D electron gases with arbitrary spin-orbit splitting

Abstract

In this work we revisit itinerant ferromagnetism in 2D and 3D electron gases with arbitrary spin-orbit splitting and strong electron-electron interaction. We identify the resonant scattering processes close to the Fermi surface that are responsible for the instability of the ferromagnetic quantum critical point at low temperatures. In contrast to previous theoretical studies, we show that such processes cannot be fully suppressed even in presence of arbitrary spin-orbit splitting. A fully self-consistent non-perturbative treatment of the electron-electron interaction close to the phase transition shows that these resonant processes always destabilize the ferromagnetic quantum critical point and lead to a first-order phase transition. Characteristic signatures of these processes can be measured via the non-analytic dependence of the spin susceptibility on magnetic field both far away or close to the phase transition.

22 pages, 5 figures, magnetic phase transitions, itinerant ferromagnetism, spin-orbit interaction

References in corpus (4)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Tricritical point and wing structure in the itinerant ferromagnet UGe2
• Observation of Spontaneous Ferromagnetism in a Two-Dimensional Electron System
• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition

Cited by in corpus (6)

• Ferromagnetic quantum critical point in a locally noncentrosymmetric and nonsymmorphic Kondo metal
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• From localized 4f electrons to anisotropic exchange interactions in ferromagnetic CeRh6Ge4
• Microscopic Mechanism of Pair-, Charge- and Spin-Density-Wave Instabilities in Interacting D-Dimensional Fermi Liquids
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases
• Non-collinear ferromagnetism in the Kondo lattice Ce${}_5$CoGe${}_2$