2000/02/09 by Ar. Abanov, Andrey V. Chubukov
Physics and Astronomy · #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevlett.84.5608
published as PHYS. REV. LETT., v84, p5608 (2000) · 5 pages, 2 figures
arxiv created 2000/02/09 · arxiv updated 2009/11/30
We consider spin and electronic properties of itinerant electron systems, described by the spin-fermion model, near the antiferromagnetic critical point. We expand in the inverse number of hot spots in the Brillouin zone, N and present the results beyond previously studied N = ∞ limit. We found two new effects: (i) Fermi surface becomes nested at hot spots, and (ii) vertex corrections give rise to anomalous spin dynamics and change the dynamical critical exponent from z=2 to z>2. To first order in 1/N we found z = 2N/(N-2) which for a physical N=8 yields z≈ 2.67.