Luttinger theorem for a spin-density-wave state
B. L. Altshuler, A. V. Chubukov, A. Dashevskii, A. M. Finkel'stein, D. K. Morr
Abstract
We obtained the analog of the Luttinger relation for a commensurate spin-density-wave state. We show that while the relation between the area of the occupied states and the density of particles gets modified in a simple and predictable way when the system becomes ordered, a perturbative consideration of the Luttinger theorem does not work due to the presence of an anomaly similar to the chiral anomaly in quantum electrodynamics.
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