On the Ordering Instability of Weakly-Interacting Electrons in a Dirty Metal
Disordered Systems and Neural Networks
2009-11-10 v1 Strongly Correlated Electrons
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.
Cite
@article{arxiv.cond-mat/0302503,
title = {On the Ordering Instability of Weakly-Interacting Electrons in a Dirty Metal},
author = {Chetan Nayak and Xiao Yang},
journal= {arXiv preprint arXiv:cond-mat/0302503},
year = {2009}
}