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Title: Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems

Abstract

We recently introduced the dynamical cluster approximation (DCA), a technique that includes short-ranged dynamical correlations in addition to the local dynamics of the dynamical mean-field approximation while preserving causality. The technique is based on an iterative self-consistency scheme on a finite-size periodic cluster. The dynamical mean-field approximation (exact result) is obtained by taking the cluster to a single site (the thermodynamic limit). Here, we provide details of our method, explicitly show that it is causal, systematic, {phi} derivable, and that it becomes conserving as the cluster size increases. We demonstrate the DCA by applying it to a quantum Monte Carlo and exact enumeration study of the two-dimensional Falicov-Kimball model. The resulting spectral functions preserve causality, and the spectra and the charge-density-wave transition temperature converge quickly and systematically to the thermodynamic limit as the cluster size increases. (c) 2000 The American Physical Society.

Authors:
 [1];  [2];  [1];  [1];  [1];  [3]
  1. Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221 (United States)
  2. (United States)
  3. (India)
Publication Date:
OSTI Identifier:
20216423
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 61; Journal Issue: 19; Other Information: PBD: 15 May 2000; Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CLUSTER MODEL; ELECTRONIC STRUCTURE; MEAN-FIELD THEORY; MONTE CARLO METHOD; CHARGE DENSITY; ELECTRON CORRELATION; METALS; HIGH-TC SUPERCONDUCTORS; THEORETICAL DATA

Citation Formats

Hettler, M. H., Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, Mukherjee, M., Jarrell, M., Krishnamurthy, H. R., and Department of Physics, Indian Institute of Science, Bangalore 560012,. Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems. United States: N. p., 2000. Web. doi:10.1103/PhysRevB.61.12739.
Hettler, M. H., Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, Mukherjee, M., Jarrell, M., Krishnamurthy, H. R., & Department of Physics, Indian Institute of Science, Bangalore 560012,. Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems. United States. doi:10.1103/PhysRevB.61.12739.
Hettler, M. H., Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, Mukherjee, M., Jarrell, M., Krishnamurthy, H. R., and Department of Physics, Indian Institute of Science, Bangalore 560012,. Mon . "Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems". United States. doi:10.1103/PhysRevB.61.12739.
@article{osti_20216423,
title = {Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems},
author = {Hettler, M. H. and Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 and Mukherjee, M. and Jarrell, M. and Krishnamurthy, H. R. and Department of Physics, Indian Institute of Science, Bangalore 560012,},
abstractNote = {We recently introduced the dynamical cluster approximation (DCA), a technique that includes short-ranged dynamical correlations in addition to the local dynamics of the dynamical mean-field approximation while preserving causality. The technique is based on an iterative self-consistency scheme on a finite-size periodic cluster. The dynamical mean-field approximation (exact result) is obtained by taking the cluster to a single site (the thermodynamic limit). Here, we provide details of our method, explicitly show that it is causal, systematic, {phi} derivable, and that it becomes conserving as the cluster size increases. We demonstrate the DCA by applying it to a quantum Monte Carlo and exact enumeration study of the two-dimensional Falicov-Kimball model. The resulting spectral functions preserve causality, and the spectra and the charge-density-wave transition temperature converge quickly and systematically to the thermodynamic limit as the cluster size increases. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevB.61.12739},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 19,
volume = 61,
place = {United States},
year = {2000},
month = {5}
}