English

Random phase approximation for the 1D anti-ferromagnetic Heisenberg model

Strongly Correlated Electrons 2009-11-11 v4 Other Condensed Matter

Abstract

The Hartree-Fock-RPA approach is applied to the 1D anti-ferromagnetic Heisenberg model in the Jordan-Wigner representation. Somewhat contrary to expectation, this leads to reasonable results for spectral functions and sum rules in the symmetry unbroken phase. In a preliminary application of Self-Consistent RPA to finite size chains strongly improved results are obtained.

Keywords

Cite

@article{arxiv.cond-mat/0601264,
  title  = {Random phase approximation for the 1D anti-ferromagnetic Heisenberg model},
  author = {A. Rabhi and P. Schuck and J. Da Providencia},
  journal= {arXiv preprint arXiv:cond-mat/0601264},
  year   = {2009}
}

Comments

13 pages, 8 figures, 1 table

R2 v1 2026-07-22T11:27:29.169Z