Peierls transition in the quantum spin-Peierls model

Details Peierls transition in the quantum spin-Peierls model Peierls transition in the quantum spin-Peierls model

2005-06-06

arxiv.org/abs/cond-mat/0506133v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.95.137207

We use the density matrix renormalization group method to investigate the role of longitudinal quantized phonons on the Peierls transition in the spin-Peierls model. For both the XY and Heisenberg spin-Peierls model we show that the staggered phonon order parameter scales as $\sqrt{\lambda}$ (and the dimerized bond order scales as $\lambda$) as $\lambda \to 0$ (where $\lambda$ is the electron-phonon interaction). This result is true for both linear and cyclic chains. Thus, we conclude that the Peierls transition occurs at $\lambda=0$ in these models. Moreover, for the XY spin-Peierls model we show that the quantum predictions for the bond order follow the classical prediction as a function of inverse chain size for small $\lambda$. We therefore conclude that the zero $\lambda$ phase transition is of the mean-field type.

Affiliated with

Also associated with

No associations

Rating

Peierls transition in the quantum spin-Peierls model 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 Peierls transition in the quantum spin-Peierls model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Peierls transition in the quantum spin-Peierls model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201942