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Monte Carlo calculations of coupled boson-fermion systems. I
Abstract
We present a formalism for carrying out Monte Carlo calculations of field theories with both boson and fermion degrees of freedom. The basic approach is to integrate out the fermion degrees of freedom and obtain an effective action for the boson fields to which standard Monte Carlo techniques can be applied. We study the structure of the effective action for a wide class of theories. We develop a procedure for making rapid calculations of the variation in the effective action due to local changes in the boson fields, which is essential for practical numerical calculations.
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Citations
Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Cited by
Georges, A., Kotliar, G., Krauth, W., & Rozenberg, M. J. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.13 · Cited by 6,901
Correlated electrons in high-temperature superconductors
Dagotto, E. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.763 · Cited by 3,119
Electronic structure calculations with dynamical mean-field theory
Kotliar, G., Savrasov, S. Y., Haule, K., Oudovenko, V. S., Parcollet, O., & Marianetti, C. A. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.865 · Cited by 2,572
Quantum Monte Carlo simulations of solids
Foulkes, W. M. C., Mitas, L., Needs, R. J., & Rajagopal, G. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.33 · Cited by 2,336
Two-dimensional Hubbard model: Numerical simulation study
Hirsch, J. E. (1985) · Physical Review B · doi:10.1103/physrevb.31.4403 · Cited by 1,080
Metadata
- Authors
- Blankenbecler, R., Scalapino, D. J., & Sugar, R. L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1981-10-15
- Volume
- 24
- Issue
- 8
- Pages
- 2278-2286
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2172568165
- Cited by
- 1,220
- References
- 1
- FWCI
- 4.34
- Type
- journal article
- Language
- en
- Open access
- closed
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