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APS » Journals » Phys. Rev. B » Volume 62 » Issue 24
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Phys. Rev. B 62, R16227–R16230 (2000)

Toward a systematic 1/d expansion: Two-particle properties

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Gergely Zaránd1,2, Daniel L. Cox1, and Avraham Schiller3
1Department of Physics, University of California Davis, Davis, California 95616
2Research Group of the Hungarian Academy of Sciences, Institute of Physics, TU Budapest, H-1521, Hungary
3Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

Received 4 February 2000; revised 27 July 2000; published in the issue dated 15 December 2000

We present a procedure to calculate 1/d corrections to two-particle properties around the infinite-dimensional dynamical mean-field limit. Our method is based on a modified version of the scheme of Schiller and Ingersent (Ref. 7), where the cancellation of overcounted diagrams is assured at each iteration step. We test our method on the half-filled Hubbard model using the fluctuation exchange approximation. To within numerical accuracy, we find stable, causal solutions for which 1/d corrections to the local correction are relatively small.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.R16227
DOI:
10.1103/PhysRevB.62.R16227
PACS:
71.27.+a, 75.30.Mb, 75.20.Hr
 
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