Continuous-time solver for quantum impurity models.
By Philipp Werner, A. Comanac, L. de’ Medici, Matthias Troyer, A. Millis. Physical Review Letters, 2005
698 citations recorded by the source corpus.
We present a new continuous-time solver for quantum impurity models such as those relevant to dynamical mean field theory. It is based on a stochastic sampling of a perturbation expansion in the impurity-bath hybridization parameter. Comparisons with Monte Carlo and exact diagonalization calculations confirm the accuracy of the new approach, which allows very efficient simulations even at low temperatures and for strong interactions. As examples of the power of the method we present results for the temperature dependence of the kinetic energy and the free energy, enabling an accurate location of the temperature-driven metal-insulator transition.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/fc28616a2ea7b2f797d9b661362299aee843b875
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
- Philipp Werner
- A. Rubtsov
- A. Lichtenstein
- Hartmut Hafermann
- Matthias Troyer
- Emanuel Gull
- A. Millis
- Olivier Parcollet
Citations in the corpus
- Continuous-time Monte Carlo methods for quantum impurity models (2010, methodology): “26 shows results from the first CT-HYB study of the interaction driven metal-insulator phase transition (Werner et al., 2006).”
- Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, neutral): “…respectively, the measurement scales as O(N2N2ν )+ O(N2νNω). c. Continuous-time expansion in the hybridization In the case of CTQMC with hybridization expansion (CT-HYB) (Werner et al., 2006; Werner and Millis, 2006), the partition function is expanded in terms of the AIM hybridization function.”
- TRIQS: A toolbox for research on interacting quantum systems (2015, background): “tion of modern algorithms for quantum many-body systems raises several practical challenges. Complexity: Theoretical methods and algorithms are becoming increasingly complex (e.g. quantum Monte Carlo [10,12,13,11] and dual boson [14] methods). They are hence more dicult to implement, debug and maint”