Floating Phase in 1D Transverse ANNNI Model

Details Floating Phase in 1D Transverse ANNNI Model Floating Phase in 1D Transverse ANNNI Model

2006-12-06

arxiv.org/abs/cond-mat/0612144v1

Physical Review E 75, 021105 (2007)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 11 figures

Scientific paper

10.1103/PhysRevE.75.021105

To study the ground state of ANNNI chain under transverse field as a function of frustration parameter $\kappa$ and field strength $\Gamma$, we present here two different perturbative analyses. In one, we consider the (known) ground state at $\kappa=0.5$ and $\Gamma=0$ as the unperturbed state and treat an increase of the field from 0 to $\Gamma$ coupled with an increase of $\kappa$ from 0.5 to $0.5+r\Gamma$ as perturbation. The first order perturbation correction to eigenvalue can be calculated exactly and we could conclude that there are only two phase transition lines emanating from the point $\kappa=0.5$, $\Gamma=0$. In the second perturbation scheme, we consider the number of domains of length 1 as the perturbation and obtain the zero-th order eigenfunction for the perturbed ground state. From the longitudinal spin-spin correlation, we conclude that floating phase exists for small values of transverse field over the entire region intermediate between the ferromagnetic phase and antiphase.

Affiliated with

Also associated with

No associations

Rating

Floating Phase in 1D Transverse ANNNI 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 Floating Phase in 1D Transverse ANNNI Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Floating Phase in 1D Transverse ANNNI Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-451880