The 1D Heisenberg antiferromagnet model by the variation after projection method - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles International Journal of Modern Physics B Year : 2013

The 1D Heisenberg antiferromagnet model by the variation after projection method

Abdelhamid Rabhi
M. Brajczewska
  • Function : Author
J. da Providência
  • Function : Author
R. Bennaceur
  • Function : Author

Abstract

The 4 sites and 8 sites 1D anti-ferromagnetic Heisenberg chains in the Jordan-Wigner representation are investigated within the standard Hartree-Fock and RPA approaches, both in the symmetry unbroken and in the symmetry broken phases. A translation invariant groundstate, obtained by the projection method as a linear combination of a symmetry-broken HF state and its image under reflection, is also considered, for each chain type. It is found that the projection method considerably improves the HF treatment for instance as far as the groundstate energy is concerned, but also with respect to the RPA energies. The results are furthermore confronted with the ones obtained within so-called SCRPA scheme.

Dates and versions

in2p3-00842371 , version 1 (08-07-2013)

Identifiers

Cite

Abdelhamid Rabhi, M. Brajczewska, P. Schuck, J. da Providência, R. Bennaceur. The 1D Heisenberg antiferromagnet model by the variation after projection method. International Journal of Modern Physics B, 2013, 27 (14), ⟨10.1142/S0217979213500586⟩. ⟨in2p3-00842371⟩
33 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More