Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems

Details Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems

2004-01-09

arxiv.org/abs/cond-mat/0401149v3

Phys. Rev. Lett. 93, 066401 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages. Presentation improved. Final version as appeared in PRL

Scientific paper

10.1103/PhysRevLett.93.066401

We use bosonization to derive the effective field theory that properly describes ferromagnetic transition in one-dimensional itinerant electron systems. The resultant theory is shown to have dynamical exponent z=2 at tree leve and upper critical dimension d_c=2. Thus one dimension is below the upper critical dimension of the theory, and the critical behavior of the transition is controlled by an interacting fixed point, which we study via epsilon expansion. Comparisons will be made with the Hertz-Millis theory, which describes the ferromagnetic transition in higher dimensions.

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