Continuous-time auxiliary-field Monte Carlo for quantum impurity models

By Emanuel Gull, Philipp Werner, Olivier Parcollet, Matthias Troyer. 2008

215 citations recorded by the source corpus.

We present a continuous-time Monte Carlo method for quantum impurity models, which combines a weak-coupling expansion with an auxiliary-field decomposition. The method is considerably more efficient than Hirsch-Fye and free of time discretization errors, and is particularly useful as impurity solver in large cluster dynamical mean-field theory (DMFT) calculations.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/d90d10699bc9067328cb5277c77b94cba9e92eb5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. A. Rubtsov
2. Philipp Werner
3. A. Lichtenstein
4. Matthias Troyer
5. Emanuel Gull
6. T. Oka
7. N. Tsuji
8. M. Kollar

In Condensed Matter Physics

1. A. Rubtsov
2. Philipp Werner
3. A. Lichtenstein
4. Hartmut Hafermann
5. Matthias Troyer
6. A. Millis
7. Emanuel Gull
8. M. Katsnelson

In Electrical and Electronic Engineering

1. Matthias Troyer
2. M. Katsnelson
3. N. M. R. Peres

Citations in the corpus

• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model (2020, methodology): “To solve the Nc site impurity problem we use the continuous time auxiliary field method [182, 187] with submatrix updates [188].”
• 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”
• Nonequilibrium dynamical mean-field theory and its applications (2013, methodology): “Let us briefly mention the relationship of the above algorithm to the continuous-time auxiliary field method (Gull et al., 2008; Werneret al., 2009).”
• Continuous-time Monte Carlo methods for quantum impurity models (2010, methodology): “For more information see also (Mikelsons, 2009) and (Gull et al., 2011a).”
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, methodology): “For instance, the continuous-time auxiliary-field (CT-AUX) algorithm (Gull et al., 2008) is based on an auxiliary-field decoupling of the interaction vertices similar to the Hirsch-Fye algorithm, but samples a varying number of fields at arbitrary times.”