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Continuous-time Monte Carlo methods for quantum impurity models
Open accessAbstract
Quantum impurity models describe an atom or molecule embedded in a host material with which it can exchange electrons. They are basic to nanoscience as representations of quantum dots and molecular conductors and play an increasingly important role in the theory of ``correlated electron'' materials as auxiliary problems whose solution gives the ``dynamical mean-field'' approximation to the self-energy and local correlation functions. These applications require a method of solution which provides access to both high and low energy scales and is effective for wide classes of physically realistic models. The continuous-time quantum Monte Carlo algorithms reviewed in this article meet this challenge. Derivations and descriptions of the algorithms are presented in enough detail to allow other workers to write their own implementations, discuss the strengths and weaknesses of the methods, summarize the problems to which the new methods have been successfully applied, and outline prospects for future applications.
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Cited by
Recent developments in the ABINIT software package
Gonze, X., Jollet, F., Abreu Araujo, F., Adams, D., Amadon, B., Applencourt, T., Audouze, C., Beuken, J.-M., Bieder, J., Bokhanchuk, A., et al. (2016) · Computer Physics Communications · doi:10.1016/j.cpc.2016.04.003 · Cited by 895
Nonequilibrium dynamical mean-field theory and its applications
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., & Werner, P. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.779 · Cited by 773
Self-citationLeBlanc, J. P. F., Antipov, A. E., Becca, F., Bulik, I. W., Chan, G. K.-L., Chung, C.-M., Deng, Y., Ferrero, M., Henderson, T. M., Jiménez-Hoyos, C. A., et al. (2015) · Physical Review X · doi:10.1103/physrevx.5.041041 · Cited by 601
Self-citationSuperconductivity and the Pseudogap in the Two-Dimensional Hubbard Model
Gull, E., Parcollet, O., & Millis, A. J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.216405 · Cited by 317
Self-citationTaming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body Problems
Cohen, G., Gull, E., Reichman, D. R., & Millis, A. J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.266802 · Cited by 228
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Metadata
- Authors
- Gull, E., Millis, A. J., Lichtenstein, A. I., Rubtsov, A. N., Troyer, M., & Werner, P.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2011-05-05
- Volume
- 83
- Issue
- 2
- Pages
- 349-404
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2169740476
- Cited by
- 1,546
- References
- 6
- FWCI
- 64.94
- Type
- journal article
- Language
- en
- Open access
- green
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