Hague, J. P; Jarrell, Mark and Schulthess, T. C.
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|DOI (Digital Object Identifier) Link:||http://doi.org/10.1103/PhysRevB.69.165113|
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This paper introduces an ansatz-based technique for solution of the Hubbard model over two length scales. Short-range correlations are treated exactly using a dynamical cluster approximation quantum Monte Carlo (QMC) simulation, while longer-length-scale physics requiring larger cluster sizes is incorporated through the introduction of the fluctuation-exchange approximation. The properties of the resulting hybrid scheme are examined and the description of local-moment formation is compared to exact results in one dimension (1D). The effects of electron-electron coupling and electron doping on the shape of the Fermi surface are demonstrated in 2D. Causality is examined in both 1D and 2D. We find that the scheme is successful if QMC clusters of NC>~4 are used (with sufficiently high temperatures in 1D), however, very small QMC clusters of NC=1 lead to acausal results.
|Item Type:||Journal Article|
|Project Funding Details:||
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Interdisciplinary Research Centre:||Centre for Earth, Planetary, Space and Astronomical Research (CEPSAR)
Biomedical Research Network (BRN)
|Depositing User:||James Hague|
|Date Deposited:||13 May 2009 14:34|
|Last Modified:||04 Oct 2016 11:54|
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