Phys. Rev. B 55, 8287–8294 (1997)Symmetric-group approach to the studies of spin-1/2 lattices
A technique for studying spin-1/2 lattices, based on the properties of the symmetric group SN, is presented. It is shown that the symmetric-group approach, applied to the Heisenberg Hamiltonian, leads to efficient diagonalization algorithms. Some examples of calculations for the lowest singlet and triplet states of the 2×L isotropic antiferromagnetic Heisenberg ladders are compared with results in the literature. For the singlet-triplet gap we have obtained, by extrapolation to the bulk limit, the values 0.498 949 and 0.499 545 for a polynomial and an exponential fit, respectively. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.55.8287
DOI:
10.1103/PhysRevB.55.8287
PACS:
75.10.Dg, 75.10.Jm, 75.50.Ee
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.