The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Real-space quantum renormalization groups
Abstract
Although originally thought to show great promise in solving quantum many-body problems on a lattice, numerical real-space renormalization-group techniques have had little success for such problems. We explore the nature of the difficulties involved by studying the applicaton of the method to the simple tight-binding model in one dimension. The standard approach fails dramatically for this model. We show that the key to successfully applying the renormalization-group technique lies in applying a variety of boundary conditions to a block in order to simulate the effect of neighboring blocks.
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Citations
Cites
The renormalization group: Critical phenomena and the Kondo problem
Wilson, K. G. (1975) · Reviews of Modern Physics · doi:10.1103/revmodphys.47.773 · Cited by 4,522
Anderson Localization in Two Dimensions
Lee, P. A., & Fisher, D. S. (1981) · Physical Review Letters · doi:10.1103/physrevlett.47.882 · Cited by 657
Real-Space Scaling Studies of Localization
Lee, P. A. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1492 · Cited by 120
Renormalization-group study of the Hubbard model
Hirsch, J. E. (1980) · Physical review. B, Condensed matter · doi:10.1103/physrevb.22.5259 · Cited by 112
Bray, J. W., & Chui, S. T. (1979) · Physical review. B, Condensed matter · doi:10.1103/physrevb.19.4876 · Cited by 53
Real-space renormalisation-group study of the one-dimensional Hubbard model
Dasgupta, C., & Pfeuty, P. M. (1981) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/14/5/017 · Cited by 49
Cited by
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 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
The 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-citationColloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Metadata
- Authors
- White, S. R., & Noack, R. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-06-15
- Volume
- 68
- Issue
- 24
- Pages
- 3487-3490
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2088527461
- Cited by
- 289
- References
- 6
- FWCI
- 7.36
- Type
- journal article
- Language
- en
- Open access
- closed
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