Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models

By Philipp Werner, A. Millis. 2006

284 citations recorded by the source corpus.

A recently developed continuous time solver based on an expansion in hybridization about an exactly solved local limit is reformulated in a manner appropriate for general classes of quantum impurity models including spin exchange and pair hopping terms. The utility of the approach is demonstrated via applications to the dynamical mean field theory of the Kondo lattice and two-orbital models. The algorithm can handle low temperatures and strong couplings without encountering a sign problem.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/fe5b55030c8ef87677f2dd664c7bb7c6c8de6431

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

In Condensed Matter Physics

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

In Electronic, Optical and Magnetic Materials

1. Philipp Werner
2. A. Millis
3. A. Lichtenstein
4. A. Rubtsov
5. Xavier Gonze

Citations in the corpus

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, unknown): “…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.”
• Continuous-time Monte Carlo methods for quantum impurity models (2010, methodology): “Aichhorn et al. then used CT-HYB simulations (but with only density-density interactions) at room temperature to obtain the full local spectral function for the dpp Hamiltonian corresponding to the experimental crystal structure of LaFeAsO and the realistic Coulomb matrix elements (Aichhorn et al., ”
• Nonequilibrium dynamical mean-field theory and its applications (2013, background): “(150) We may now proceed in exactly the same way as in equilibrium (Werneret al., 2006; Werner and Millis, 2006), namely separate theHhyb factors into impurity creation terms (time argumentst′i ) and impurity annihilation terms (time arguments t j).”
• The Abinit project: Impact, environment and recent developments (2020, methodology): “ping each correlated atom to an effective Anderson impurity model (AIM), which is solved using an impurity solver such as the continuous-time quantum Monte Carlo method (CT-QMC) [125, 126, 127].”