Semi-classical description of the frustrated antiferromagnetic chain

Details Semi-classical description of the frustrated antiferromagnetic chain Semi-classical description of the frustrated antiferromagnetic chain

1994-09-21

arxiv.org/abs/cond-mat/9409090v1

Phys. Rev. B51 (1995) 6394

Physics

Condensed Matter

19 pages (RevTeX 3.0), 6 PostScript figures appended (printing instructions included), preprint CRPS-94-18

Scientific paper

10.1103/PhysRevB.51.6394

The antiferromagnetic Heisenberg model on a chain with nearest and next nearest neighbor couplings is mapped onto the $SO(3)$ nonlinear sigma model in the continuum limit. In one spatial dimension this model is always in its disordered phase and a gap opens to excited states. The latter form a doubly degenerate spin-1 branch at all orders in $1/N$. We argue that this feature should be present in the spin-1 Heisenberg model itself. Exact diagonalizations are used to support this claim. The inapplicability of this model to half-integer spin chains is discussed.

Affiliated with

Also associated with

No associations

Rating

Semi-classical description of the frustrated antiferromagnetic chain does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semi-classical description of the frustrated antiferromagnetic chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semi-classical description of the frustrated antiferromagnetic chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-635444