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

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

References in corpus (8)

• One-Dimensional Magnetism
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• Exact two-spinon dynamical correlation function of the Heisenberg model
• Fully Self-consistent RPA description of the many level pairing model
• Self-Consistent Random Phase Approximation - Application to the Hubbard Model for finite number of sites
• Self Consistent Random Phase Approximation and the restoration of symmetries within the three-level Lipkin model
• Pair Fluctuations in Ultra-small Fermi Systems within Self-Consistent RPA at Finite Temperature
• Self-Consistent Quasi-Particle RPA for the Description of Superfluid Fermi Systems

Cited by in corpus (3)

• An Exact Formulation of the Time-Ordered Exponential using Path-Sums
• Fermionic model with a non-Hermitian Hamiltonian
• The 1D Heisenberg antiferromagnet model by the variation after projection method