Phase diagram and hidden order for generalized spin ladders

Details Phase diagram and hidden order for generalized spin ladders Phase diagram and hidden order for generalized spin ladders

1996-04-22

arxiv.org/abs/cond-mat/9604136v1

Physics

Condensed Matter

23 pages, REVTEX, 7 figures

Scientific paper

10.1088/0953-8984/8/38/018

We investigate the phase diagram of antiferromagnetic spin ladders with additional exchange interactions on diagonal bonds by variational and numerical methods. These generalized spin ladders interpolate smoothly between the $S=1/2$ chain with competing nn and nnn interactions, the $S=1/2$ chain with alternating exchange and the antiferromagnetic $S=1$ chain. The Majumdar-Ghosh ground states are formulated as matrix product states and are shown to exhibit the same type of hidden order as the af $S=1$ chain. Generalized matrix product states are used for a variational calculation of the ground state energy and the spin and string correlation functions. Numerical (Lanczos) calculations of the energies of the ground state and of the low-lying excited states are performed, and compare reasonably with the variational approach. Our results support the hypothesis that the dimer and Majumdar-Ghosh points are in the same phase as the af $S=1$ chain.

Affiliated with

Also associated with

No associations

Rating

Phase diagram and hidden order for generalized spin ladders 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 Phase diagram and hidden order for generalized spin ladders, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase diagram and hidden order for generalized spin ladders will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393716