Luttinger theorem for a spin-density-wave state

Author: Altshuler B. L.   Chubukov A. V.   Dashevskii A.   Finkel'stein A. M.   Morr D. K.  

Publisher: Edp Sciences

E-ISSN: 1286-4854|41|4|401-406

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.41, Iss.4, 2010-03, pp. : 401-406

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Abstract

We obtained the analog for the Luttinger relation for a commensuratespin-density-wave state. We show that while the relation between the area ofthe occupied states and the density of particles gets modified in a simpleand predictable way when the system becomes ordered, a perturbativeconsideration of the Luttinger theorem does not work due to the presence ofan anomaly similar to chiral anomaly in quantum electrodynamics.