Random phase approximation for the 1D anti-ferromagnetic Heisenberg model
arXiv:cond-mat/0601264 · doi:10.1088/0953-8984/18/45/011
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.
13 pages, 8 figures, 1 table