2003/12/05 by J. P. Hague, Mark Jarrell, T. C. Schulthess
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.69.165113
published as Phys. Rev. B 69, 165113 (2004)
arxiv created 2003/12/05 · openalex publication_date 2004/04/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.