Ferromagnetic Luttinger Liquids

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.67.092403

We study weak itinerant ferromagnetism in one-dimensional Fermi systems using perturbation theory and bosonization. We find that longitudinal spin fluctuations propagate ballistically with velocity v_m << v_F, where v_F is the Fermi velocity. This leads to a large anomalous dimension in the spin-channel and strong algebraic singularities in the single-particle spectral function and in the transverse structure factor for momentum transfers q ~ 2 Delta/v_F, where 2 Delta is the exchange splitting.

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