Continuous-time quantum Monte Carlo method for fermions: Beyond auxiliary field framework

By A. Rubtsov, V. Savkin, A. Lichtenstein. 2004

438 citations recorded by the source corpus.

A numerically exact continuous-time quantum Monte Carlo algorithm for finite fermionic systems with nonlocal interactions is proposed. The scheme is particularly applicable for general multiband time-dependent correlations, since it does not invoke Hubbard-Stratonovich transformation. The present determinantal grand-canonical method is based on a stochastic series expansion for the partition function in the interaction representation. The results for the Green function and for the time-dependent susceptibility of multiorbital supersymmetric impurity model with a spin-flip interaction are presented.

Subfields: Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/4cdd318271740494ab1d3df076855302b9af818b

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In Condensed Matter Physics

Citations in the corpus

Band geometry, Berry curvature and superfluid weight (2016, methodology): “8) we use a continuous-time interaction-expansion (CT-INT) impurity solver [66, 67] and for larger U we resort to exact diagonalization [64, 68] in solving the impurity problem.”
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, methodology): “…expansion in the interaction (CT-INT), the measurement of two-particle Green’s functions amounts to performing a Monte Carlo average over ratios of determinants which differ by two rows and columns (Gull et al., 2011b; Rubtsov et al., 2005) (instead of one for the single-particle function).”
Half-metallic ferromagnets: From band structure to many-body effects (2007, methodology): “The standard QMC scheme for local Coulomb interactions takes into account only density-density like interactions, although the new continuous-time QMC (Rubtsov et al., 2005; Savkin et al., 2005) can overcome this problem and include all the elements of interaction vertex.”
Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model (2020, methodology): “The auxiliary impurity models were solved using a state-of-the-art continuous time quantum Monte Carlo impurity solver in its interaction expansion (CT-INT [165, 181, 182]) implemented in the TRIQS framework [183].”
TRIQS: A toolbox for research on interacting quantum systems (2015, methodology): “For optimal efficiency within a Monte Carlo framework, the modifications to the matrices can be done in two steps: a first step which only returns the determinant ratio between the matrix before (M) and after the modification (M ′), i.e. ξ = detM ′/ detM (which is generally used in the acceptance ra”
Continuous-time Monte Carlo methods for quantum impurity models (2010, background): “Thus the problem reduces to the accumulation of the determinant of a 2 × 2 matrix (Gull et al., 2008a; Rubtsov et al., 2005) 〈∣ ∣ ∣ ∣ ∣ (G120 + G1k0 M {si,τi,xi} kl Gl20 ) (G140 + G1k0 M {si,τi,xi} kl Gl40 ) (G320 + G3k0 M {si,τi,xi} kl Gl20 ) (G340 + G3k0 M {si,τi,xi} kl Gl40 ) ∣ ∣ ∣ ∣ ∣…”