Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-08-26
Europhys. Lett. 71 (6), pp.959-965 (2005).
Physics
Condensed Matter
Strongly Correlated Electrons
Final version, accepted for publication in Europhysics Letters
Scientific paper
10.1209/epl/i2005-10176-1
We study numerically and partly diagrammatically the renormalization of the electron-spin interaction or vertex in a two-dimensional one-band Hubbard model with spin-fluctuation momentum transfer ${\vv q}=(\pi,\pi)$. We find that the renormalized electron-spin vertex decreases quite generally with decreasing temperature at all doping densities. As a combination of two concurring effects, i.e. the decrease of the vertex and the increase of the spin susceptibility, the effective pairing interaction increases with lowering temperature in the intermediate-correlation regime, but {\it flattens off} in the strong-correlation regime. Our findings indicate that in the high-T$_c$ cuprates the pairing mediated by antiferromagnetic spin fluctuations is substantially reduced due to vertex corrections.
Arrigoni Enrico
Hanke Werner
Huang Z. B.
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