The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Neél Order in Square and Triangular Lattice Heisenberg Models
Open accessAbstract
We show that the density matrix renormalization group can be used to study magnetic ordering in two-dimensional spin models. Local quantities should be extrapolated with the truncation error, not with its square root. We introduce sequences of clusters, using cylindrical boundary conditions with pinning fields, which provide for rapidly converging finite-size scaling. We determine the magnetization for both the square and triangular Heisenberg lattices with errors comparable to the best alternative approaches.
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Cites
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
Self-citationThe density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Density-matrix algorithms for quantum renormalization groups
White, S. R. (1993) · Physical Review B · doi:10.1103/physrevb.48.10345 · Cited by 3,244
Self-citationNonuniversal critical dynamics in Monte Carlo simulations
Swendsen, R. H., & Wang, J.-S. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.86 · Cited by 2,844
Quantum Monte Carlo with directed loops
Syljuåsen, O. F., & Sandvik, A. W. (2002) · Physical Review E · doi:10.1103/physreve.66.046701 · Cited by 823
Finite-size scaling of the ground-state parameters of the two-dimensional Heisenberg model
Sandvik, A. W. (1997) · Physical Review B · doi:10.1103/physrevb.56.11678 · Cited by 490
Long-Range Néel Order in the Triangular Heisenberg Model
Capriotti, L., Trumper, A. E., & Sorella, S. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.3899 · Cited by 461
Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L. (1994) · Physical Review B · doi:10.1103/physrevb.50.10048 · Cited by 406
Generalized directed loop method for quantum Monte Carlo simulations
Alet, F., Wessel, S., & Troyer, M. (2005) · Physical Review E · doi:10.1103/physreve.71.036706 · Cited by 244
Density matrix renormalization group algorithms with a single center site
White, S. R. (2005) · Physical Review B · doi:10.1103/physrevb.72.180403 · Cited by 238
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Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Verstraete, F., Murg, V., & Cirac, J. I. (2008) · Advances in Physics · doi:10.1080/14789940801912366 · Cited by 1,762
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
Yan, S., Huse, D. A., & White, S. R. (2011) · Science · doi:10.1126/science.1201080 · Cited by 1,241
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-citationStudying Two-Dimensional Systems with the Density Matrix Renormalization Group
Stoudenmire, E. M., & White, S. R. (2012) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-020911-125018 · Cited by 451
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Metadata
- Authors
- White, S. R., & Chernyshev, A. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-09-20
- Volume
- 99
- Issue
- 12
- Pages
- 127004-127004
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2003467305
- Cited by
- 358
- References
- 17
- FWCI
- 3.87
- Type
- journal article
- Language
- en
- Open access
- green
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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.
