Title variants
Languages of publication
Abstracts
The contractor renormalization group method was devised in 1994 by Morningstar and Weinstein. It was primarily aimed at extracting the physics of lattice quantum field theories (like lattice quantum chromodynamics). However, it is a general method of analyzing Hamiltonian lattice systems, e.g. Ising, Heisenberg or Hubbard models. The aim of this work is to show the application of contractor renormalization group method to one-dimensional quantum systems - the Heisenberg zig-zag model and the Hubbard chain. As a test of the method, the ground state energy of these systems will be calculated.
Discipline
Journal
Year
Volume
Issue
Pages
773-780
Physical description
Dates
published
2007-05
Contributors
author
- Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
- Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
- 1. C. Morningstar, M. Weinstein, Phys. Rev. Lett., 73, 1873, 1994
- 2. C. Morningstar, M. Weinstein, Phys. Rev. D, 54, 4131, 1996
- 3. J. Piekarewicz, J.R. Shepard, Phys. Rev. B, 56, 5366, 1997
- 4. J. Piekarewicz, J.R. Shepard, Phys. Rev. B, 57, 10260, 1998
- 5. M. Weinstein, Phys. Rev. B, 63, 174421, 2001
- 6. E. Berg, E. Altman, A. Auerbach, Phys. Rev. Lett., 90, 147204, 2003
- 7. R. Budnik, A. Auerbach, Phys. Rev. Lett., 93, 187205, 2004
- 8. S. Capponi, A. Lauchli, M. Mambrini, Phys. Rev. B, 70, 104424, 2004
- 9. P. Li, S.-Q. Shen, Phys. Rev. B, 71, 212401, 2005
- 10. E. Altman, A. Auerbach, Phys. Rev. B, 65, 104508, 2002
- 11. S. Capponi, D. Poilblanc, Phys. Rev. B, 66, 180503, 2002
- 12. H.A. Bethe, Z. Phys., 71, 205, 1931
- 13. L. Hulthén, Arkiv. Nat. Astron. Fys. A, 26, no. 11, 1, 1938
- 14. P.W. Anderson, Phys. Rev., 86, 694, 1952
- 15. E.H. Lieb, F.Y. Wu, Phys. Rev. Lett., 20, 1445, 1968
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv111n514kz