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Cited by 431

The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.

Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group

Open access
Rommer, Stefan, Östlund, Stellan·1997·Physical Review B
DOI 10.1103/physrevb.55.2164
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Abstract

We investigate the density matrix renormalization group (DMRG) discovered by White and show that in the case where the renormalization eventually converges to a fixed point the DMRG ground state can be simply written as a matrix-product form. This ground state can also be rederived through a simple variational ansatz making no reference to the DMRG construction. We also show how to construct the matrix-product states and how to calculate their properties, including the excitation spectrum. This paper provides details of many results announced earlier.

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Citations

Cites

Show all 24 references

Research works printed but not linked: 11

  1. S.R. White, 1993, Phys. Rev. B, 48, 10
  2. J. Sólyom, 1987, Phys. Rev. B, 36, 8642, 10.1103/PhysRevB.36.8642 · doi:10.1103/physrevb.36.8642
  3. G. Fáth, 1993, Phys. Rev. B, 47, 872, 10.1103/PhysRevB.47.872 · doi:10.1103/physrevb.47.872
  4. Y. Xian, 1993, J. Phys. C, 5, 7489
  5. R.F. Bishop, 1993, J. Phys. C, 5, 9169
  6. T. Sakai, 1990, Phys. Rev. B, 42, 1090, 10.1103/PhysRevB.42.1090 · doi:10.1103/physrevb.42.1090
  7. S. Qin, 1995, Phys. Rev. B, 52, 12, 10.1103/PhysRevB.52.12 · doi:10.1103/physrevb.52.12
  8. L.A. Takhtajan, 1982, Phys. Lett., 87A, 205
  9. H.M. Babujian, 1983, Phys. Lett., 90A, 479
  10. I. Affleck, 1985, Phys. Rev. Lett., 55, 1355, 10.1103/PhysRevLett.55.1355 · doi:10.1103/physrevlett.55.1355
  11. C. Lange, 1995, Z. Phys. B, 96, 267, 10.1007/BF01313293 · doi:10.1007/bf01313293

Cited by

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Metadata

Authors
Rommer, S., & Östlund, S.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1997-01-15
Volume
55
Issue
4
Pages
2164-2181
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.55.2164
OpenAlex
W1621265897
Cited by
431
References
24
FWCI
6.02
Type
journal article
Language
en
Open access
green
Licence
link.aps.org/licenses/aps-default-license (vor)

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CoChat. (2026). Citation check: Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group. https://app.cochat.ai/papers/10.1103/physrevb.55.2164
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Rommer, S., & Östlund, S. (1997). Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group. Physical Review B. https://doi.org/10.1103/physrevb.55.2164

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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.