On the Ordering Instability of Weakly-Interacting Electrons in a Dirty Metal

Abstract

In a dirty metal, electron-electron interactions in the spin-triplet channel lead to singular corrections to a variety of physical quantities. We show that these singularities herald the emergence of ferromagnetism. We calculate the effective action for the magnetic moment of weakly-interacting electrons in a dirty metal and show that a state with finite ferromagnetic moment minimizes this effective action. The saddle-point approximation is exact in an appropriate large-N limit. We discuss the physics of the ferromagnetic state with particular regard to thermal fluctuations and localization effects.

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Cited by in corpus (8)

• Transport in strongly correlated two dimensional electron fluids
• Kondo-Anderson Transitions
• A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
• Interaction-induced metallicity in a two-dimensional disordered non-Fermi liquid
• Competition between Kondo and RKKY correlations in the presence of strong randomness
• Diamagnetic Persistent Currents and Spontaneous Time-Reversal Symmetry Breaking in Mesoscopic Structures
• Ferromagnetism of Weakly-Interacting Electrons in Disordered Systems
• Quantum Altermagnetic Instability in Disordered Metals