One-dimensional itinerant ferromagnets with Heisenberg symmetry and the ferromagnetic quantum critical point

Details One-dimensional itinerant ferromagnets with Heisenberg symmetry and the ferromagnetic quantum critical point One-dimensional itinerant ferromagnets with Heisenberg symmetry and the ferromagnetic quantum critical point

2005-01-28

arxiv.org/abs/cond-mat/0501689v3

Physics

Condensed Matter

Strongly Correlated Electrons

Replaced with final version accepted in PRB; minor changes from the previous version

Scientific paper

10.1103/PhysRevB.71.174427

We study one-dimensional itinerant ferromagnets with Heisenberg symmetry near a ferromagnetic quantum critical point. It is shown that the Berry phase term arises in the effective action of itinerant ferromagnets when the full SU(2) symmetry is present. We explicitly demonstrate that dynamical critical exponent of the theory with the Berry term is $z=2 +{\rm O}(\epsilon^2)$ in the sense of $\epsilon$ expansion, as previously discovered in the Ising limit. It appears, however, that the universality class at the interacting fixed point is not the same. We point out that even though the critical theory in the Ising limit can be obtained by the standard Hertz-Millis approach, the Heisenberg limit is expected to be different. We also calculate the exact electron Green functions $G(x,t=0)$ and $G(x=0,t)$ near the transition in a range of temperature, which can be used for experimental signatures of the associated critical points.

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