A non-crossing approximation for the study of intersite correlations

Th Maier; M. Jarrell; Th Pruschke; J. Keller

doi:10.1007/s100510050077

A non-crossing approximation for the study of intersite correlations

Th Maier, M. Jarrell, Th Pruschke, J. Keller

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88 Scopus citations

Abstract

We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a self-consistently embedded periodic cluster of size N_c. It is a fully causal and systematic approximation to the full lattice problem, with corrections script O sign(1/N_c) in two dimensions. The NCA we develop is a systematic approximation with corrections script O sign(1/N³_c). The method will be discussed in detail and results for the one-particle properties of the Hubbard model are shown. Near half filling, the spectra display pronounced features including a pseudogap and non-Fermi-liquid behavior due to short-ranged antiferromagnetic correlations.

Original language	English
Pages (from-to)	613-624
Number of pages	12
Journal	Zeitschrift für Physik B Condensed Matter
Volume	13
Issue number	4
DOIs	https://doi.org/10.1007/s100510050077
State	Published - Feb 2 2000
Externally published	Yes

Funding

Funders	Funder number
National Science Foundation
Directorate for Mathematical and Physical Sciences	9704021, 9357199

Keywords

71.10.Fd Lattice fermion models (Hubbard model, etc.)
71.27.+a Strongly correlated electron systems; heavy fermions
75.20.Hr Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions

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10.1007/s100510050077

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abstract = "We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a self-consistently embedded periodic cluster of size Nc. It is a fully causal and systematic approximation to the full lattice problem, with corrections script O sign(1/Nc) in two dimensions. The NCA we develop is a systematic approximation with corrections script O sign(1/N3c). The method will be discussed in detail and results for the one-particle properties of the Hubbard model are shown. Near half filling, the spectra display pronounced features including a pseudogap and non-Fermi-liquid behavior due to short-ranged antiferromagnetic correlations.",

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T1 - A non-crossing approximation for the study of intersite correlations

AU - Maier, Th

AU - Jarrell, M.

AU - Pruschke, Th

AU - Keller, J.

PY - 2000/2/2

Y1 - 2000/2/2

N2 - We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a self-consistently embedded periodic cluster of size Nc. It is a fully causal and systematic approximation to the full lattice problem, with corrections script O sign(1/Nc) in two dimensions. The NCA we develop is a systematic approximation with corrections script O sign(1/N3c). The method will be discussed in detail and results for the one-particle properties of the Hubbard model are shown. Near half filling, the spectra display pronounced features including a pseudogap and non-Fermi-liquid behavior due to short-ranged antiferromagnetic correlations.

AB - We develop a Non-Crossing Approximation (NCA) for the effective cluster problem of the recently developed Dynamical Cluster Approximation (DCA). The DCA technique includes short-ranged correlations by mapping the lattice problem onto a self-consistently embedded periodic cluster of size Nc. It is a fully causal and systematic approximation to the full lattice problem, with corrections script O sign(1/Nc) in two dimensions. The NCA we develop is a systematic approximation with corrections script O sign(1/N3c). The method will be discussed in detail and results for the one-particle properties of the Hubbard model are shown. Near half filling, the spectra display pronounced features including a pseudogap and non-Fermi-liquid behavior due to short-ranged antiferromagnetic correlations.

KW - 71.10.Fd Lattice fermion models (Hubbard model, etc.)

KW - 71.27.+a Strongly correlated electron systems; heavy fermions

KW - 75.20.Hr Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions

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A non-crossing approximation for the study of intersite correlations

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