$S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems

Details $S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems $S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems

1998-02-15

arxiv.org/abs/cond-mat/9802163v1

Phys. Rev. B 58, 2407 (1998)

Physics

Condensed Matter

Strongly Correlated Electrons

4 Pages, 4 eps figures. Uses RevTeX 3.0. Submitted to PRB

Scientific paper

10.1103/PhysRevB.58.2407

The $s=1/2$ chain-boundary excitations occurring in the Haldane phaseof $s=1$ antiferromagnetic spin chains are investigated. The bilinear-biquadratic hamiltonian is used to study these excitations as a function of the strength of the biquadratic term, $\beta$, between $-1\le\beta\le1$. At the AKLT point, $\beta=-1/3$, we show explicitly that these excitations are localized at the boundaries of the chain on a length scale equal to the correlation length $\xi=1/\ln 3$, and that the on-site magnetization for the first site is $=2/3$. Applying the density matrixrenormalization group we show that the chain-boundaryexcitations remain localized at the boundaries for $-1\le\beta\le1$. As the two critical points $\beta=\pm1$ are approached the size of the $s=1/2$ objects diverges and their amplitude vanishes.

Affiliated with

Also associated with

No associations

Rating

$S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems 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 $S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $S=1/2$ Chain-Boundary Excitations in the Haldane Phase of 1D $S=1$ Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-372241