The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
A Novel Technique for the Simulation of Interacting Fermion Systems
Open accessAbstract
A new method for the simulation of ground-state properties of interacting fermions is introduced. A trial wave function, which is assumed to be a Slater determinant, is propagated to large imaginary times. The quantum many-body propagator is represented by a coherent superposition of single-particle propagators by means of a Hubbard-Stratonovich transformation. The resulting functional integral is performed by stochastic methods based on Langevin dynamics. Numerical stability is achieved by orthonormalizing the propagating single-particle orbitals entering the Slater determinant. The problem of the positiveness of the statistical weight is addressed and solved in most cases. Illustrative examples are given for the 1D and 2D Hubbard models.
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Cites
The Resonating Valence Bond State in La 2 CuO 4 and Superconductivity
Anderson, P. W. (1987) · Science · doi:10.1126/science.235.4793.1196 · Cited by 7,719
Solution of the Schrödinger equation by a spectral method
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Two-dimensional Hubbard model: Numerical simulation study
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Algorithms for brownian dynamics
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(1995) · Springer eBooks · doi:10.1007/978-1-4615-1937-9 · Cited by 366
Product formula algorithms for solving the time dependent Schrödinger equation
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NUMERICAL SIMULATION OF THE 1D AND 2D HUBBARD MODELS: FERMI LIQUID BEHAVIOR AND ITS BREAKDOWN
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Cited by
Sign problem in the numerical simulation of many-electron systems
Loh, E. Y., Gubernatis, J. E., Scalettar, R. T., White, S. R., Scalapino, D. J., & Sugar, R. L. (1990) · Physical Review B · doi:10.1103/physrevb.41.9301 · Cited by 801
Quantum Monte Carlo Approaches for Correlated Systems
Becca, F., & Sorella, S. (2017) · doi:10.1017/9781316417041 · Cited by 523
Self-citationInsulator, metal, or superconductor: The criteria
Scalapino, D. J., White, S. R., & Zhang, S. (1993) · Physical Review B · doi:10.1103/physrevb.47.7995 · Cited by 481
Variational benchmarks for quantum many-body problems
Wu, D., Rossi, R., Vicentini, F., Astrakhantsev, N., Becca, F., Cao, X., Carrasquilla, J., Ferrari, F., Georges, A., Hibat-Allah, M., et al. (2024) · Science · doi:10.1126/science.adg9774 · Cited by 79
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Metadata
- Authors
- Sorella, S., Baroni, S., Car, R., & Parrinello, M.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1989-04-01
- Volume
- 8
- Issue
- 7
- Pages
- 663-668
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2067825331
- Cited by
- 295
- References
- 9
- FWCI
- 13.21
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Sorella, S., Baroni, S., Car, R., & Parrinello, M. (1989). A Novel Technique for the Simulation of Interacting Fermion Systems. Europhysics Letters (EPL). https://doi.org/10.1209/0295-5075/8/7/014
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
